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26
55712766
math/9201203
1989-10-26
Convex bodies with few faces
It is proved that if $u_1,\ldots, u_n$ are vectors in ${\Bbb R}^k, k\le n, 1 \le p < \infty$ and $$r = ({1\over k} \sum ^n_1 |u_i|^p)^{1\over p}$$ then the volume of the symmetric convex body whose boundary functionals are $\pm u_1,\ldots, \pm u_n$, is bounded from below as $$|\{ x\in {\Bbb R}^k\colon \ |\langle x,u_i\rangle | \le 1 \ \hbox{for every} \ i\}|^{1\over k} \ge {1\over \sqrt{\rho}r}.$$ An application to number theory is stated.
[ "math.MG", "math.FA" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
121266415
math/9201206
1989-11-09
On the volume of the intersection of two $L_p^n$ balls
This note deals with the following problem, the case $p=1$, $q=2$ of which was introduced to us by Vitali Milman: What is the volume left in the $L_p^n$ ball after removing a t-multiple of the $L_q^n$ ball? Recall that the $L_r^n$ ball is the set $\{(t_1,t_2,\dots,t_n);\ t_i\in{\bf R},\ n^{-1}\sum_{i=1}^n|t_i|^r\le 1\}$ and note that for $0<p<q<\infty$ the $L_q^n$ ball is contained in the $L_p^n$ ball. In Corollary 4 we show that, after normalizing Lebesgue measure so that the volume of the $L_p^n$ ball is one, the answer to the problem above is of order $e^{-ct^pn^{p/q}}$ for $T<t<{1\over 2}n^ {{1\over p}-{1\over q}}$, where $c$ and $T$ depend on $p$ and $q$ but not on $n$. The main theorem, Theorem 3, deals with the corresponding question for the surface measure of the $L_p^n$ sphere.
[ "math.FA", "math.MG" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
18202490
hep-th/9108004
1991-08-16
Ground Ring Of Two Dimensional String Theory
String theories with two dimensional space-time target spaces are characterized by the existence of a ``ground ring'' of operators of spin $(0,0)$. By understanding this ring, one can understand the symmetries of the theory and illuminate the relation of the critical string theory to matrix models. The symmetry groups that arise are, roughly, the area preserving diffeomorphisms of a two dimensional phase space that preserve the fermi surface (of the matrix model) and the volume preserving diffeomorphisms of a three dimensional cone. The three dimensions in question are the matrix eigenvalue, its canonical momentum, and the time of the matrix model.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
17420406
hep-th/9108005
1991-08-19
Fusion Residues
We discuss when and how the Verlinde dimensions of a rational conformal field theory can be expressed as correlation functions in a topological LG theory. It is seen that a necessary condition is that the RCFT fusion rules must exhibit an extra symmetry. We consider two particular perturbations of the Grassmannian superpotentials. The topological LG residues in one perturbation, introduced by Gepner, are shown to be a twisted version of the $SU(N)_k$ Verlinde dimensions. The residues in the other perturbation are the twisted Verlinde dimensions of another RCFT; these topological LG correlation functions are conjectured to be the correlation functions of the corresponding Grassmannian topological sigma model with a coupling in the action to instanton number.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
16404593
hep-th/9109005
1991-09-04
World Sheet and Space Time Physics in Two Dimensional (Super) String Theory
We show that tree level ``resonant'' $N$ tachyon scattering amplitudes, which define a sensible ``bulk'' S -- matrix in critical (super) string theory in any dimension, have a simple structure in two dimensional space time, due to partial decoupling of a certain infinite set of discrete states. We also argue that the general (non resonant) amplitudes are determined by the resonant ones, and calculate them explicitly, finding an interesting analytic structure. Finally, we discuss the space time interpretation of our results.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
9735525
hep-th/9109048
1991-09-25
Elements of String Cosmology
Aspects of string cosmology for critical and non-critical strings are discussed emphasizing the necessity to account for the dilaton dynamics for a proper incorporation of ``large - small" duality. This drastically modifies the intuition one has with Einstein's gravity. For example winding modes, even though contribute to energy density, oppose expansion and if not annihilated will stop the expansion. Moreover we find that the radiation dominated era of the standard cosmology emerges quite naturally in string cosmology. Our analysis of non-critical string cosmology provides a reinterpretation of the (universal cover of the) recently studied two dimensional black hole solution as a conformal realization of cosmological solutions found previously by Mueller.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
5081886
hep-th/9111016
1991-11-07
Exact Results for Supersymmetric Sigma Models
We show that the metric and Berry's curvature for the ground states of $N=2$ supersymmetric sigma models can be computed exactly as one varies the Kahler structure. For the case of $CP^n$ these are related to special solutions of affine toda equations. This allows us to extract exact results (including exact instanton corrections). We find that the ground state metric is non-singular as the size of the manifold shrinks to zero thus suggesting that 2d QFT makes sense even beyond zero radius. In other words it seems that manifolds with zero size are non-singular as target spaces for string theory (even when they are not conformal). The cases of $CP^1$ and $CP^2$ are discussed in more detail.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
14076916
hep-th/9112039
1991-12-17
Topological Approach to Alice Electrodynamics
We analyze the unlocalized ``Cheshire charge'' carried by ``Alice strings.'' The magnetic charge on a string loop is carefully defined, and the transfer of magnetic charge from a monopole to a string loop is analyzed using global topological methods. A semiclassical theory of electric charge transfer is also described.
[ "hep-th" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "m bucher_3", "name": "Martin Bucher", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "h lo_1", "name": "Hoi-Kwong Lo", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "j preskill_1", "name": "John Preskill", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
15550054
hep-th/9112040
1991-12-17
On Detecting Discrete Cheshire Charge
We analyze the charges carried by loops of string in models with non-abelian local discrete symmetry. The charge on a loop has no localized source, but can be detected by means of the Aharonov--Bohm interaction of the loop with another string. We describe the process of charge detection, and the transfer of charge between point particles and string loops, in terms of gauge--invariant correlation functions.
[ "hep-th" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "m bucher_3", "name": "Martin Bucher", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "k lee_19", "name": "Kai-ming Lee", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "j preskill_1", "name": "John Preskill", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
12699956
math/9201261
1992-01-01
A steepest descent method for oscillatory Riemann-Hilbert problems
In this announcement we present a general and new approach to analyzing the asymptotics of oscillatory Riemann-Hilbert problems. Such problems arise, in particular, in evaluating the long-time behavior of nonlinear wave equations solvable by the inverse scattering method. We will restrict ourselves here exclusively to the modified Korteweg de Vries (MKdV) equation, $$y_t-6y^2y_x+y_{xxx}=0,\qquad -\infty<x<\infty,\ t\ge0, y(x,t=0)=y_0(x),$$ but it will be clear immediately to the reader with some experience in the field, that the method extends naturally and easily to the general class of wave equations solvable by the inverse scattering method, such as the KdV, nonlinear Schr\"odinger (NLS), and Boussinesq equations, etc., and also to ``integrable'' ordinary differential equations such as the Painlev\'e transcendents.
[ "math.AP" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
15820116
math/9201259
1992-01-01
The Riemannian manifold of all Riemannian metrics
The space of all Riemannian metrics on a smooth second countable finite dimensional manifold is itself a smooth manifold modeled on the space of symmetric (0,2)-tensor fields with compact support. It carries a canonical Riemannian metric which is invariant under the action of the diffeomorphism group. We determine its geodesics, exponential mapping, curvature, and Jacobi fields in a very explicit manner.
[ "math.DG", "math.FA" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
10983056
math/9201254
1992-01-01
A convenient setting for real analytic mappings
We present here "the" cartesian closed theory for real analytic mappings. It is based on the concept of real analytic curves in locally convex vector spaces. A mapping is real analytic, if it maps smooth curves to smooth curves and real analytic curves to real analytic curves. Under mild completeness conditions the second requirement can be replaced by: real analytic along affine lines. Enclosed and necessary is a careful study of locally convex topologies on spaces of real analytic mappings. As an application we also present the theory of manifolds of real analytic mappings: the group of real analytic diffeomorphisms of a compact real analytic manifold is a real analytic Lie group.
[ "math.FA", "math.CA", "math.DG" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
17424132
hep-th/9201047
1992-01-23
Duality-Invariant Gaugino Condensation and One-Loop Corrected Kahler Potentials in String Theory
The duality-invariant gaugino condensation with or without massive matter fields is re-analysed, taking into account the dependence of the string threshold corrections on the moduli fields and recent results concerning one-loop corrected K\"ahler potentials. The scalar potential of the theory for a generic superpotential is also calculated.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
6779966
math/9202208
1992-02-01
The action of the diffeomorphism group on the space of immersions
We study the action of the diffeomorphism group $\Diff(M)$ on the space of proper immersions $\Imm_{\text{prop}}(M,N)$ by composition from the right. We show that smooth transversal slices exist through each orbit, that the quotient space is Hausdorff and is stratified into smooth manifolds, one for each conjugacy class of isotropy groups.
[ "math.DG" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
2829117
hep-ph/9203217
1992-03-18
Multiple photon effects in fermion-(anti)fermion scattering at SSC energies
We use the theory of Yennie, Frautschi and Suura to realize, via Monte Carlo methods, the process $f\,\bbbarf\to f'\,\bbbarf'+n\gamma$ at SSC and LHC energies, where $f$ and $f'$ are quarks or leptons. QED infrared divergences are canceled to all orders in perturbation theory. The resulting Monte Carlo event generator, SSC-YFS2, is used to study the effects of initial-state photon radiation on these processes in the SSC environment. Sample Monte Carlo data are presented and discussed. We find that the respective multiple-photon effects must be taken into account in discussing precise predictions for SSC physics processes.
[ "hep-ph" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "d delaney_1", "name": "D. Delaney", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "s jadach_1", "name": "Stanislaw Jadach", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "c shio_1", "name": "Ch. Shio", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "g siopsis_1", "name": "George Siopsis", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "b ward_1", "name": "B. [\"F.\",\"L.\"] Ward", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
15115990
math/9204237
1992-04-01
A period mapping in universal Teichm\"uller space
In previous work it had been shown that the remarkable homogeneous space $M= \operatorname{Diff}(S^1)/\operatorname{PSL} (2,\Bbb{R})$ sits as a complex analytic and K\"ahler submanifold of the Universal Teichm\"uller Space. There is a natural immersion $\Pi$ of $M$ into the infinite-dimensional version (due to Segal) of the Siegel space of period matrices. That map $\Pi$ is proved to be injective, equivariant, holomorphic, and K\"ahler-isometric (with respect to the canonical metrics). Regarding a period mapping as a map describing the variation of complex structure, we explain why $\Pi$ is an infinite-dimensional period mapping.
[ "math.CV", "math.DG" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
18481721
math/9204238
1992-04-01
Density theorems for sampling and interpolation in the Bargmann-Fock space
We give a complete description of sampling and interpolation in the Bargmann-Fock space, based on a density concept of Beurling. Roughly speaking, a discrete set is a set of sampling if and only if its density in every part of the plane is strictly larger than that of the von Neumann lattice, and similarly, a discrete set is a set of interpolation if and only if its density in every part of the plane is strictly smaller than that of the von Neumann lattice.
[ "math.CV", "math.FA" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
37821778
math/9204233
1992-04-01
A quasi-polynomial bound for the diameter of graphs of polyhedra
The diameter of the graph of a $d$-dimensional polyhedron with $n$ facets is at most $n^{\log d+2}$
[ "math.MG", "math.CO" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
17339631
astro-ph/9204001
1992-04-13
Gamma-Ray Bursts as the Death Throes of Massive Binary Stars
It is proposed that gamma-ray bursts are created in the mergers of double neutron star binaries and black hole neutron star binaries at cosmological distances. Bursts with complex profiles and relatively long durations are the result of magnetic flares generated by the Parker instability in a post-merger differentially-rotating disk. Some bursts may also be produced through neutrino-antineutrino annihilation into electrons and positrons. In both cases, an optically thick fireball of size $\sles\ 100$ km is initially created, which expands ultrarelativistically to large radii before radiating. Several previous objections to the cosmological merger model are eliminated. It is predicted that $\gamma$-ray bursts will be accompanied by a burst of gravitational radiation from the spiraling-in binary which could be detected by LIGO.
[ "astro-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
117363430
cond-mat/9204010
1992-04-22
Meissner Effect and Constraints
We notice some beautiful geometrical defects found in liquid crystals, and explain them by imposing a constraint. We study the way constraints can occur, and introduce the concept of massive fields. We develop the theory of magnetic field expulsion in superconductors as an example. We notice strong analogies with the formation of grain boundaries in crystals, and realize that we do not understand crystals very deeply
[ "cond-mat" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "j sethna_1", "name": "James [\"P.\"] Sethna", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "m huang_53", "name": "Ming-Zhu Huang", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
18095488
hep-th/9204099
1992-04-29
The Black Hole in Three Dimensional Space Time
The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a negative cosmological constant, admit a black hole solution. The 2+1 black hole -characterized by mass, angular momentum and charge, defined by flux integrals at infinity- is quite similar to its 3+1 counterpart. Anti-de Sitter space appears as a negative energy state separated by a mass gap from the continuous black hole spectrum. Evaluation of the partition function yields that the entropy is equal to twice the perimeter length of the horizon.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
15115252
hep-th/9205041
1992-05-14
Considerations of One-Modulus Calabi-Yau Compactifications: Picard-Fuchs Equations, K\"ahler Potentials and Mirror Maps
We consider Calabi-Yau compactifications with one K\"ahler modulus. Following the method of Candelas et al. we use the mirror hypothesis to solve the quantum theory exactly in dependence of this modulus by performing the calculation for the corresponding complex structure deformation on the mirror manifold. Here the information is accessible by techniques of classical geometry. It is encoded in the Picard-Fuchs differential equation which has to be supplemented by requirements on the global properties of its solutions.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
12321327
hep-lat/9205018
1992-05-22
Simulated Tempering: A New Monte Carlo Scheme
We propose a new global optimization method ({\em Simulated Tempering}) for simulating effectively a system with a rough free energy landscape (i.e. many coexisting states) at finite non-zero temperature. This method is related to simulated annealing, but here the temperature becomes a dynamic variable, and the system is always kept at equilibrium. We analyze the method on the Random Field Ising Model, and we find a dramatic improvement over conventional Metropolis and cluster methods. We analyze and discuss the conditions under which the method has optimal performances.
[ "hep-lat", "cond-mat", "hep-ph", "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
12935539
hep-lat/9205020
1992-05-25
Quenched Chiral Logarithms
I develop a diagrammatic method for calculating chiral logarithms in the quenched approximation. While not rigorous, the method is based on physically reasonable assumptions, which can be tested by numerical simulations. The main results are that, at leading order in the chiral expansion, (a) there are no chiral logarithms in quenched $f_\pi$, for $m_u=m_d$; (b) the chiral logarithms in $B_K$ and related kaon B-parameters are, for $m_d=m_s$, the same in the quenched approximation as in the full theory; (c) for $m_\pi$ and the condensate, there are extra chiral logarithms due to loops containing the $\eta'$, which lead to a peculiar non-analytic dependence of these quantities on the bare quark mass. Following the work of Gasser and Leutwyler, I discuss how there is a predictable finite volume dependence associated with each chiral logarithm. I compare the resulting predictions with numerical results: for most quantities the expected volume dependence is smaller than the errors, but for $B_V$ and $B_A$ there is an observed dependence which is consistent with the predictions.
[ "hep-lat", "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
510694
hep-th/9205089
1992-05-27
Liouville Models of Black Hole Evaporation
We construct new theories of dilation gravity coupled to conformal matter which are exact $c=26$ conformal field theories and presumably consistent frameworks for discussing black hole physics in two dimensions. They differ from the CGHS equations in the precise dilaton dependence of the cosmological constant. A further modification proposed by Strominger with a view to eliminating unphysical ghost Hawking radiation is also considered. The new classical equations of motion are explicitly soluble, thus permitting an exact analysis of both static and dynamic senarios. While the static solutions are physically reasonable, the dynamical solutions include puzzling examples with wrong-sign Hawking radiation. We indicate how the latter problem may be resolved in the full quantum theory.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
14543020
cond-mat/9206001
1992-06-02
Self Organization and a Dynamical Transition in Traffic Flow Models
A simple model that describes traffic flow in two dimensions is studied. A sharp {\it jamming transition } is found that separates between the low density dynamical phase in which all cars move at maximal speed and the high density jammed phase in which they are all stuck. Self organization effects in both phases are studied and discussed.
[ "cond-mat" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
10477772
hep-th/9206033
1992-06-08
Cohomological Partition Functions for a Class of Bosonic Theories
We argue, that for a general class of nontrivial bosonic theories the path integral can be related to an equivariant generalization of conventional characteristic classes.
[ "hep-th" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "a niemi_1", "name": "Antti [\"J.\"] Niemi", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "a niemi_1", "name": "Antti [\"J.\"] Niemi", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "o tirkkonen_1", "name": "Olav Tirkkonen", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
14161004
hep-lat/9206013
1992-06-11
A Method for Simulating Chiral Fermions on the Lattice
A method for simulating chiral gauge theories on the lattice is proposed, involving zeromodes on a topological defect. Lattice doublers may be decoupled in a gauge invariant manner, and flavor anomalies can be directly observed on a finite lattice. (Requires harvmac)
[ "hep-lat", "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
16048025
alg-geom/9206005
1992-06-12
Two Two-dimensional Terminations
Varieties with log terminal and log canonical singularities are considered in the Minimal Model Program, see \cite{...} for introduction. In \cite{shokurov:hyp} it was conjectured that many of the interesting sets, associated with these varieties have something in common: they satisfy the ascending chain condition, which means that every increasing chain of elements terminates. Philosophically, this is the reason why two main hypotheses in the Minimal Model Program: existence and termination of flips should be true and are possible to prove. In this paper we prove that the following two sets satisfy the ascending chain condition: 1. The set of minimal log discrepancies for $K_X+B$ where $X$ is a surface with log canonical singularities. 2. The set of groups $(b_1,...b_s)$ such that there is a surface $X$ with log canonical and numerically trivial $K_X+\sum b_jB_j$. The order on such groups is defined in a natural way.
[ "alg-geom", "math.AG" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
119623818
math/9207212
1992-07-01
user's guide to viscosity solutions of second order partial differential equations
The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness theorems, existence theorems, and theorems about continuous dependence may now be proved by very efficient and striking arguments. The range of important applications of these results is enormous. This article is a self-contained exposition of the basic theory of viscosity solutions.
[ "math.AP" ]
[ "target.author.publication_history.key_reference", "target.key_reference" ]
null
null
null
6625075
math/9207213
1992-07-01
A class of nonsymmetric harmonic Riemannian spaces
Certain solvable extensions of $H$-type groups provide noncompact counterexamples to the so-called Lichnerowicz conjecture, which asserted that ``harmonic'' Riemannian spaces must be rank 1 symmetric spaces.
[ "math.DG", "math.RT" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "e damek_1", "name": "Ewa Damek", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "f ricci_7", "name": "Fulvio Ricci", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
15120456
cond-mat/9207023
1992-07-20
Melting a copper cluster: Critical droplet theory
We simulate the melting of a 71 A diameter cluster of Cu. At low temperatures the crystal exhibits facets. With increasing temperatures the open facets pre-melt, the melted regions coalesce into a liquid envelope containing a crystalline nucleus, and the nucleus finally goes unstable to the supercooled liquid. Using critical droplet theory and experimental data for Cu, we explain the thermodynamics of the coexistence region. The width of the transition scales as (Number of particles) to the power (-1/4).
[ "cond-mat" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "o nielsen_0", "name": "Ole [\"H.\"] Nielsen", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "j sethna_1", "name": "James [\"P.\"] Sethna", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "p stoltze_0", "name": "Per Stoltze", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "k jacobsen_2", "name": "Karsten [\"Wedel\"] Jacobsen", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "j nørskov_1", "name": "Jens [\"K.\"] Nørskov", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
7368231
hep-th/9207103
1992-07-29
String Theory Modifies Quantum Mechanics
We argue that the light particles in string theory obey an effective quantum mechanics modified by the inclusion of a quantum-gravitational friction term, induced by unavoidable couplings to unobserved massive string states in the space-time foam. This term is related to the $W$-symmetries that couple light particles to massive solitonic string states in black hole backgrounds, and has a formal similarity to simple models of environmental quantum friction. It increases apparent entropy, and may induce the wave functions of macroscopic systems to collapse.
[ "hep-th", "gr-qc", "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
1135319
hep-th/9208027
1992-08-10
On Background Independent Open-String Field Theory
A framework for background independent open-string field theory is proposed. The approach involves using the BV formalism -- in a way suggested by recent developments in closed-string field theory -- to implicitly define a gauge invariant Lagrangian in a hypothetical ``space of all open-string world-sheet theories.'' It is built into the formalism that classical solutions of the string field theory are BRST invariant open-string world-sheet theories and that, when expanding around a classical solution, the infinitesimal gauge transformations are generated by the world-sheet BRST operator.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
8483181
hep-ph/9208216
1992-08-10
Multiple photon effects in $pp$ scattering at SSC energies
The Monte Carlo program SSCYFS2 is used in conjunction with available parton distribution functions to calculate the effects of multiple photon radiation on pp scattering at SSC energies. Effects relevant to precision SSC physics such as Higgs discovery and exploration are illustrated.
[ "hep-ph" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "d delaney_1", "name": "D. Delaney", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "s jadach_1", "name": "Stanislaw Jadach", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "c shio_1", "name": "Ch. Shio", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "g siopsis_1", "name": "George Siopsis", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "b ward_1", "name": "Bennie [\"F.\",\"L.\"] Ward", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
14504148
hep-lat/9208011
1992-08-12
An Improved Acceptance Procedure for the Hybrid Monte Carlo Algorithm
The probability of accepting a candidate move in the hybrid Monte Carlo algorithm can be increased by considering a transition to be between windows of several states at the beginning and end of the trajectory, with a state within the selected window being chosen according to the Boltzmann probabilities. The detailed balance condition used to justify the algorithm still holds with this procedure, provided the start state is randomly positioned within its window. The new procedure is shown empirically to significantly improve performance for a test system of uncoupled oscillators.
[ "hep-lat" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
16225395
gr-qc/9208004
1992-08-13
The $D\to 2$ Limit of General Relativity
A method for taking the $D\to 2$ limit of D-dimensional general relativity is constructed, yielding a two-dimensional theory which couples gravitation to conserved stress-energy. We show how this theory is related to those obtained via an alternative dimensional reduction approach.
[ "gr-qc", "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
14760033
cond-mat/9208017
1992-08-26
Non-Gaussian distribution in Random advection dynamics
Simulations of vortex tube dynamics reveal that the non-Gaussian nature of turbulent fluctuation originates in the effect of random advection. A similar non-Gaussian distribution is found numerically in a simplified statistical model of random advection. An analytical solution is obtained in the mean-field case.
[ "cond-mat" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
17199572
math/9209203
1992-09-08
Cardinal Characteristics and the Product of Countably Many Infinite Cyclic Groups
Let P be the direct product of countably many copies of the additive group Z of integers. We study, from a set-theoretic point of view, those subgroups of P for which all homomorphisms to Z annihilate all but finitely many of the standard unit vectors. Specifically, we relate the smallest possible size of such a subgroup to several of the standard cardinal characteristics of the continuum. We also study some related properties and cardinals, both group-theoretic and set-theoretic. One of the set-theoretic properties and the associated cardinal are combinatorially natural, independently of any connection with algebra.
[ "math.LO" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "a blass_1", "name": "Andreas Blass", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
3057002
hep-ph/9209262
1992-09-21
Chiral Lagrangians for Radiative Decays of Heavy Hadrons
The radiative decays of heavy mesons and heavy baryons are studied in a formalism which incorporates both the heavy quark symmetry and the chiral symmetry. The chiral Lagrangians for the electromagnetic interactions of heavy hadrons consist of two pieces: one from gauging electromagnetically the strong-interaction chiral Lagrangian, and the other from the anomalous magnetic moment interactions of the heavy baryons and mesons. Due to the heavy quark spin symmetry, the latter contains only one independent coupling constant in the meson sector and two in the baryon sector. These coupling constants only depend on the light quarks and can be calculated in the nonrelativistic quark model. However, the charm quark is not heavy enough and the contribution from its magnetic moment must be included. Applications to the radiative decays $D^\ast \rightarrow D \gamma~,~B^\ast \rightarrow B \gamma~,~ \Xi^\prime_c \rightarrow \Xi_c \gamma~, \Sigma_c \rightarrow \Lambda_c \gamma$ and $\Sigma_c \rightarrow \Lambda_c \pi \gamma$ are given. Together with our previous results on the strong decay rates of $D^\ast \rightarrow D \pi$ and $\Sigma_c \rightarrow \Lambda_c \pi$, predictions are obtained for the total widths and branching ratios of $D^\ast$ and $\Sigma_c$. The decays $\Sigma^+_c \rightarrow \Lambda^+_c \pi^0 \gamma $ and $\Sigma^0_c \rightarrow \Lambda^+_c \pi^- \gamma $ are discussed to illustrate the important roles played by both the heavy quark symmetry and the chiral symmetry.
[ "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
17419995
hep-ph/9209286
1992-09-28
Radiative corrections in processes at the SSC
We discuss radiative corrections for interactions in the SSC environment. Based on the theory of Yennie, Frautschi and Suura, we develop appropriate Monte Carlo event generators to compute the background electromagnetic radiation. Our results indicate that multiple-photon effects must be taken into account in the study of SSC physics such as Higgs decay.
[ "hep-ph" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "g siopsis_1", "name": "George Siopsis", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "d delaney_1", "name": "D. Delaney", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "s jadach_1", "name": "Stanislaw Jadach", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "c shio_1", "name": "Ch. Shio", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "b ward_1", "name": "Bennie [\"F.\",\"L.\"] Ward", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
5812801
hep-ph/9209289
1992-09-29
The Rule of Discarding $1/N_c$ in Inclusive Weak Decays. II
We calculate the leading preasymptotic correction to the inclusive width $b\rightarrow \bar c c s$ (two massive quarks in the final state) due to the operator $\vec \sigma \vec H$. It is found that this correction tends to cancel the $1/N_c$ part of the inclusive width calculated using naive factorization. The absolute value of the effect is of order 0.25. We also discuss how quark-hadron duality is realized in the inclusive decays.
[ "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
13305769
hep-th/9210065
1992-10-12
Some Computations in Background Independent Open-String Field Theory
Recently, background independent open-string field theory has been formally defined in the space of all two-dimensional world-sheet theories. In this paper, to make the construction more concrete, I compute the action for an off-shell tachyon field of a certain simple type. From the computation it emerges that, although the string field action does not coincide with the world-sheet (matter) partition function in general, these functions do coincide on shell. This can be demonstrated in general, as long as matter and ghosts are decoupled.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
299123
hep-th/9210073
1992-10-14
Introduction to Random Matrices
These notes provide an introduction to the theory of random matrices. The central quantity studied is $\tau(a)= det(1-K)$ where $K$ is the integral operator with kernel $1/\pi} {\sin\pi(x-y)\over x-y} \chi_I(y)$. Here $I=\bigcup_j(a_{2j-1},a_{2j})$ and $\chi_I(y)$ is the characteristic function of the set $I$. In the Gaussian Unitary Ensemble (GUE) the probability that no eigenvalues lie in $I$ is equal to $\tau(a)$. Also $\tau(a)$ is a tau-function and we present a new simplified derivation of the system of nonlinear completely integrable equations (the $a_j$'s are the independent variables) that were first derived by Jimbo, Miwa, M{\^o}ri, and Sato in 1980. In the case of a single interval these equations are reducible to a Painlev{\'e} V equation. For large $s$ we give an asymptotic formula for $E_2(n;s)$, which is the probability in the GUE that exactly $n$ eigenvalues lie in an interval of length $s$.
[ "hep-th", "cond-mat", "math-ph", "math.MP", "nlin.SI", "solv-int" ]
[ "target.author.publication_history.key_reference", "target.key_reference" ]
null
null
null
2946253
cond-mat/9210018
1992-10-20
Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations
We use the zero-temperature random-field Ising model to study hysteretic behavior at first-order phase transitions. Sweeping the external field through zero, the model exhibits hysteresis, the return-point memory effect, and avalanche fluctuations. There is a critical value of disorder at which a jump in the magnetization (corresponding to an infinite avalanche) first occurs. We study the universal behavior at this critical point using mean-field theory, and also present preliminary results of numerical simulations in three dimensions.
[ "cond-mat" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
16482452
gr-qc/9211017
1992-11-13
The Relation between Physical and Gravitational Geometry
The appearance of two geometries in one and the same gravitational theory is familiar. Usually, as in the Brans-Dicke theory or in string theory, these are conformally related Riemannian geometries. Is this the most general relation between the two geometries allowed by physics ? We study this question by supposing that the physical geometry on which matter dynamics take place could be Finslerian rather than just Riemannian. An appeal to the weak equivalence principle and causality then leads us the conclusion that the Finsler geometry has to reduce to a Riemann geometry whose metric - the physical metric - is related to the gravitational metric by a generalization of the conformal transformation.
[ "gr-qc", "astro-ph", "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
1103248
cond-mat/9212030
1992-12-21
Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
We examine the spin-$S$ quantum Heisenberg magnet with Gaussian-random, infinite-range exchange interactions. The quantum-disordered phase is accessed by generalizing to $SU(M)$ symmetry and studying the large $M$ limit. For large $S$ the ground state is a spin-glass, while quantum fluctuations produce a spin-fluid state for small $S$. The spin-fluid phase is found to be generically gapless - the average, zero temperature, local dynamic spin-susceptibility obeys $\bar{\chi} (\omega ) \sim \log(1/|\omega|) + i (\pi/2) \mbox{sgn} (\omega)$ at low frequencies. This form is identical to the phenomenological `marginal' spectrum proposed by Varma {\em et. al.\/} for the doped cuprates.
[ "cond-mat" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
15667886
hep-th/9301068
1992-12-24
Two Dimensional QCD is a String Theory
The partition function of two dimensional QCD on a Riemann surface of area $A$ is expanded as a power series in $1/N$ and $A$. It is shown that the coefficients of this expansion are precisely determined by a sum over maps from a two dimensional surface onto the two dimensional target space. Thus two dimensional QCD has a simple interpretation as a closed string theory.
[ "hep-th", "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
15112083
gr-qc/9301003
1993-01-06
Observing binary inspiral in gravitational radiation: One interferometer
We investigate the sensitivity of individual LIGO/VIRGO-like interferometers and the precision with which they can determine the characteristics of an inspiralling binary system. Since the two interferometers of the LIGO detector share nearly the same orientation, their joint sensitivity is similar to that of a single, more sensitive interferometer. We express our results for a single interferometer of both initial and advanced LIGO design, and also for the LIGO detector in the limit that its two interferometers share exactly the same orientation. We approximate the evolution of a binary system as driven exclusively by leading order quadrupole gravitational radiation. To assess the sensitivity, we calculate the rate at which sources are expected to be observed, the range to which they are observable, and the precision with which characteristic quantities describing the observed binary system can be determined. Assuming a conservative rate density for coalescing neutron star binary systems we expect that the advanced LIGO detector will observe approximately 69~yr${}^{-1}$ with an amplitude SNR greater than 8. Of these, approximately 7~yr${}^{-1}$ will be from binaries at distances greater than 950~Mpc. We explore the sensitivity of these results to a tunable parameter in the interferometer design (the recycling frequency). The optimum choice of the parameter is dependent on the goal of the observations, e.g., maximizing the rate of detections or maximizing the precision of measurement. We determine the optimum parameter values for these two cases.
[ "gr-qc", "astro-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
16122549
hep-th/9301042
1993-01-12
Phases of $N=2$ Theories In Two Dimensions
This is a study of the Landau-Ginzburg/Calabi-Yau correspondence, and related matters, using linear sigma models.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
18840477
hep-th/9301059
1993-01-15
On Exact Evaluation of Path Integrals
Some mistakes have been corrected
[ "hep-th" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "a niemi_1", "name": "Antti [\"J.\"] Niemi", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "o tirkkonen_1", "name": "Olav Tirkkonen", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
14942580
math/9302210
1993-02-04
Random polytopes and affine surface area
Let K be a convex body in $R^d$. A random polytope is the convex hull $[x_1,...,x_n]$ of finitely many points chosen at random in K. $\Bbb E(K,n)$ is the expectation of the volume of a random polytope of n randomly chosen points. I. B\'ar\'any showed that we have for convex bodies with $C^3$ boundary and everywhere positive curvature $$ c(d)\lim_{n \to \infty} \frac {vol_d(K)-\Bbb E(K,n)}{(\frac{vol_d(K)}{n})^{\frac{2}{d+1}}} =\int_{\partial K} \kappa(x)^{\frac{1}{d+1}}d\mu(x) $$ where $\kappa(x)$ denotes the Gau\ss-Kronecker curvature. We show that the same formula holds for all convex bodies if $\kappa(x)$ denotes the generalized Gau\ss-Kronecker curvature.
[ "math.MG", "math.FA" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
15840651
hep-th/9302096
1993-02-19
Quantum Purity at a Small Price: Easing a Black Hole Paradox
Following Hawking, it is usual to mimic the effect of collapse space-time geometry on quantum fields in a semi-classical approximation by imposing suitable boundary conditions at the origin of coordinates, which effectively becomes a moving mirror. Suitable mirror trajectories induces a close analogue to the radiance of black holes, including a flux of outgoing radiation that appears accurately thermal. If the acceleration of the mirror eventually ceases the complete state of the radiation field is a pure quantum state, even though it is indistinguishable from an accurately thermal state for an arbitrarily long period of time and in a precise sense differs little from ``pure thermal'' closely followed by ``vacuum''. Suspicions that the semiclassical calculation of black hole radiance gives evidence for the evolution of pure into mixed states are criticized on this basis. Possible extensions of the model to mimic black holes more accurately (including the effects of back reaction and partial transparency), while remaining within the realm of tractable models, are suggested.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
116919831
funct-an/9302005
1993-02-22
Factoriality and the Connes invariant T(M) for free products of von Neumann algebras
This revised version corrects some substancial errors in the proofs. The old proofs were only valid for (finite dimensional) * (finite dimensional). The scope of the results remains the same, however for type I_\infty algebras, the results of the original version were incorrect.
[ "funct-an", "math.OA" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
5552743
hep-ph/9303206
1993-03-02
Could a nearby supernova explosion have caused a mass extinction?
We examine the possibility that a nearby supernova explosion could have caused one or more of the mass extinctions identified by palaeontologists. We discuss the likely rate of such events in the light of the recent identification of Geminga as a supernova remnant less than 100 pc away and the discovery of a millisecond pulsar about 150 pc away, and observations of SN 1987A. The fluxes of $\gamma$ radiation and charged cosmic rays on the Earth are estimated, and their effects on the Earth's ozone layer discussed. A supernova explosion of the order of 10 pc away could be expected every few hundred million years, and could destroy the ozone layer for hundreds of years, letting in potentially lethal solar ultraviolet radiation. In addition to effects on land ecology, this could entail mass destruction of plankton and reef communities, with disastrous consequences for marine life as well. A supernova extinction should be distinguishable from a meteorite impact such as the one that presumably killed the dinosaurs.
[ "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
16187316
hep-lat/9303005
1993-03-10
Chiral Fermions from Lattice Boundaries
We construct a model in which four dimensional chiral fermions arise on the boundaries of a five dimensional lattice with free boundary conditions in the fifth direction. The physical content is similar to Kaplan's model of domain wall fermions, yet the present construction has several technical advantages. We discuss some aspects of perturbation theory, as well as possible applications of the model both for lattice QCD and for the on-going attempts to construct a lattice chiral gauge theory.
[ "hep-lat", "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
11780571
hep-ph/9303287
1993-03-22
Sterile Neutrinos as Dark Matter
The simplest model that can accomodate a viable nonbaryonic dark matter candidate is the standard electroweak theory with the addition of right-handed or sterile neutrinos. We reexamine this model and find that the sterile neutrinos can be either hot, warm, or cold dark matter. Since their only direct coupling is to left-handed or active neutrinos, the most efficient production mechanism is via neutrino oscillations. If the production rate is always less than the expansion rate, then these neutrinos will never be in thermal equilibrium. However, enough of them may be produced so that they provide the missing mass necessary for closure. We consider a single generation of neutrino fields $\left (\nu_L,\,\nu_R\right )$ with a Dirac mass, $\mu$, and a Majorana mass for the right-handed components only, $M$. For $M\gg \mu$ we show that the number density of sterile neutrinos is proportional to $\mu^2/M$ so that the energy density today is {\it independent of} $M$. However $M$ is crucial in determining the large scale structure of the Universe. In particular, $M\simeq 0.1-1.0 {\rm ~keV}$ leads to warm dark matter and a structure formation scenario that may have some advantages over both the standard hot and cold dark matter scenarios.
[ "hep-ph", "astro-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
18984804
hep-th/9304053
1993-04-13
Connections on the State-Space over Conformal Field Theories
Motivated by the problem of background independence of closed string field theory we study geometry on the infinite vector bundle of local fields over the space of conformal field theories (CFT's). With any connection we can associate an excluded domain $D$ for the integral of marginal operators, and an operator one-form $\omega_\mu$. The pair $(D, \omega_\mu)$ determines the covariant derivative of any correlator of local fields. We obtain interesting classes of connections in which $\omega_\mu$'s can be written in terms of CFT data. For these connections we compute their curvatures in terms of four-point correlators, $D$, and $\omega_\mu$. Among these connections three are of particular interest. A flat, metric compatible connection $\HG$, and connections $c$ and $\bar c$ having non-vanishing curvature, with $\bar c$ being metric compatible. The flat connection cannot be used to do parallel transport over a finite distance. Parallel transport with either $c$ or $\bar c$, however, allows us to construct a CFT in the state space of another CFT a finite distance away. The construction is given in the form of perturbation theory manifestly free of divergences.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
13933860
patt-sol/9304003
1993-04-17
Complex Patterns in a Simple System
Numerical simulations of a simple reaction--diffusion model reveal a surprising variety of irregular spatio--temporal patterns. These patterns arise in response to finite--amplitude perturbations. Some of them resemble the steady irregular patterns discussed by Lee et al. Others consist of spots which grow until they reach a critical size at which time they divide in two. If, in some region, the spots become overcrowded, all the spots in that region decay into the uniform background.
[ "patt-sol", "comp-gas", "nlin.CG", "nlin.PS" ]
[ "target.author.publication_history.key_reference", "target.key_reference" ]
null
null
null
15582447
hep-ph/9304270
1993-04-19
Electromagnetic Production of Quarkonium in $Z^{0}$ decay
The decay $Z^{0}\rightarrow Q+ \ell^{+}\ell^{-}$, where $Q$ is a $J^{PC}=1^{--}$ quarkonium state, has a very clean final state, which should make it easy to detect. The branching ratio of this mode is greater than $10^{-6}$ for $\rho$, $\phi$, and $\psi$, indicating that these processes may be detectable at LEP.
[ "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
13266344
hep-ph/9304286
1993-04-21
Cabibbo-allowed nonleptonic weak decays of charmed baryons
Cabibbo-allowed nonleptonic weak decays of charmed baryons $\lamc,~\xin,~\xip$ and $\Omega_c^0$ into an octet baryon and a pseudoscalar meson are analyzed. The nonfactorizable contributions are evaluated under pole approximation, and it turns out that the $s$-wave amplitudes are dominated by the low-lying $\halfm$ resonances, while $p$-wave ones governed by the ground-state $\halfp$ poles. The MIT bag model is employed to calculate the coupling constants, form factors and baryon matrix elements. Our conclusions are: (i) $s$ waves are no longer dominated by commutator terms; the current-algebra method is certainly not applicable to parity-violating amplitudes, (ii) nonfactorizable $W$ exchange effects are generally important; they can be comparable to and somtimes even dominate over factorizable contributions, depending on the decay modes under consideration, (iii) large-$N_c$ approximation for factorizable amplitudes also works in the heavy baryon sector and it accounts for the color nonsuppression of $\lamc\ri p\bar{K}^0$ relative to $\lamc\ri\Lambda\pi^+$, (iv) a measurement of the decay rate and the sign of the $\alpha$ asymmetry parameter of certain proposed decay modes will help discern various models; especially the sign of $\alpha$ in $\lamc\ri\Sigma\pi$ decays can be used to unambiguously differentiate recent theoretical schemes from current algebra, and (v) $p$ waves are the dominant contributions to the decays $\lamc\ri\Xi^0 K^+$ and $\xin\ri\Sigma^+ K^-$, but they are subject to a large cancellation; this renders present theoretical predictions on these two channels unreliable.
[ "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
15943631
astro-ph/9304022
1993-04-26
Power Spectrum Analysis of Three-Dimensional Redshift Surveys
We develop a general method for power spectrum analysis of three dimensional redshift surveys. We present rigorous analytical estimates for the statistical uncertainty in the power and we are able to derive a rigorous optimal weighting scheme under the reasonable (and largely empirically verified) assumption that the long wavelength Fourier components are Gaussian distributed. We apply the formalism to the updated 1-in-6 QDOT IRAS redshift survey, and compare our results to data from other probes: APM angular correlations; the CfA and the Berkeley 1.2Jy IRAS redshift surveys. Our results bear out and further quantify the impression from e.g.\ counts-in-cells analysis that there is extra power on large scales as compared to the standard CDM model with $\Omega h\simeq 0.5$. We apply likelihood analysis using the CDM spectrum with $\Omega h$ as a free parameter as a phenomenological family of models; we find the best fitting parameters in redshift space and transform the results to real space. Finally, we calculate the distribution of the estimated long wavelength power. This agrees remarkably well with the exponential distribution expected for Gaussian fluctuations, even out to powers of ten times the mean. Our results thus reveal no trace of periodicity or other non-Gaussian behavior.
[ "astro-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
14931730
hep-th/9304128
1993-04-27
Quantum Black Hole Evaporation
We investigate a recently proposed model for a full quantum description of two-dimensional black hole evaporation, in which a reflecting boundary condition is imposed in the strong coupling region. It is shown that in this model each initial state is mapped to a well-defined asymptotic out-state, provided one performs a certain projection in the gravitational zero mode sector. We find that for an incoming localized energy pulse, the corresponding out-going state contains approximately thermal radiation, in accordance with semi-classical predictions. In addition, our model allows for certain acausal strong coupling effects near the singularity, that give rise to corrections to the Hawking spectrum and restore the coherence of the out-state. To an asymptotic observer these corrections appear to originate from behind the receding apparent horizon and start to influence the out-going state long before the black hole has emitted most of its mass. Finally, by putting the system in a finite box, we are able to derive some algebraic properties of the scattering matrix and prove that the final state contains all initial information.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
18707734
hep-th/9305002
1993-05-03
Quantum Mechanical Interaction-Free Measurements
A novel manifestation of nonlocality of quantum mechanics is presented. It is shown that it is possible to ascertain the existence of an object in a given region of space without interacting with it. The method might have practical applications for delicate quantum experiments.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
30587735
comp-gas/9305001
1993-05-13
Identification of Continuous-Time Dynamical Systems: Neural Network Based Algorithms and Parallel Implementation
Time-delay mappings constructed using neural networks have proven successful in performing nonlinear system identification; however, because of their discrete nature, their use in bifurcation analysis of continuous-time systems is limited. This shortcoming can be avoided by embedding the neural networks in a training algorithm that mimics a numerical integrator. Both explicit and implicit integrators can be used. The former case is based on repeated evaluations of the network in a feedforward implementation; the latter relies on a recurrent network implementation. Here the algorithms and their implementation on parallel machines (SIMD and MIMD architectures) are discussed.
[ "comp-gas", "adap-org", "nlin.AO", "nlin.CG" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "r farber_1", "name": "Robert [\"M.\"] Farber", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "a lapedes_1", "name": "Alan [\"S.\"] Lapedes", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "r rico-martínez_1", "name": "Ramiro Rico-Martínez", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "i kevrekidis_1", "name": "Ioannis [\"G.\"] Kevrekidis", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
7643856
patt-sol/9305005
1993-05-18
Spiral Defect Chaos in Large Aspect Ratio Rayleigh-Benard Convection
We report experiments on convection patterns in a cylindrical cell with a large aspect ratio. The fluid had a Prandtl number of approximately 1. We observed a chaotic pattern consisting of many rotating spirals and other defects in the parameter range where theory predicts that steady straight rolls should be stable. The correlation length of the pattern decreased rapidly with increasing control parameter so that the size of a correlated area became much smaller than the area of the cell. This suggests that the chaotic behavior is intrinsic to large aspect ratio geometries.
[ "patt-sol", "chao-dyn", "nlin.CD", "nlin.PS" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
15483116
hep-ph/9305309
1993-05-24
Measuring transversity densities in singly polarized hadron-hadron and lepton-hadron collisions
We show how the transverse polarization of a quark initiating a jet can be probed by the azimuthal distribution of two hadrons (of large $z$) in the jet. This permits a twist 2 asymmetry in hard processes when only one of the initial particles is polarized transversely. Applications to hadron-hadron and lepton-hadron scattering are discussed.
[ "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
15228370
hep-ph/9305316
1993-05-25
Search for Physics Beyond the Standard Model
We survey some recent ideas and progress in looking for particle physics beyond the Standard Model, connected by the theme of Supersymmetry (SUSY). We review the success of SUSY-GUT models, the expected experimental signatures and present limits on SUSY partner particles, and Higgs phenomenology in the minimal SUSY model.
[ "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
15709243
astro-ph/9305032
1993-05-26
Redshift distortions of galaxy correlation functions
To examine how peculiar velocities can affect the 2-, 3-, and 4-point redshift correlation functions, we evaluate volume-average correlations for configurations that emphasize and minimize redshift distortions for four different volume-limited samples from each of the CfA, SSRS, and IRAS redshift catalogs. We find a characteristic distortion for the 2-point correlation, $\xibar_2$: the slope $\gamma$ is flatter and the correlation length is larger in redshift space than in real space; that is, redshift distortions ``move'' correlations from small to large scales. At the largest scales (up to $12 \Mpc$), the extra power in the redshift distribution is compatible with $\Omega^{4/7}/b \approx 1$. We estimate $\Omega^{4/7}/b$ to be $0.53 \pm 0.15$, $1.10 \pm 0.16$ and $0.84 \pm 0.45$ for the CfA, SSRS and IRAS catalogs. Higher order correlations $\xibar_3$ and $\xibar_4$ suffer similar redshift distortions, but in such a way that, within the accuracy of our analysis, the normalized amplitudes $S_3$ and $S_4$ are insensitive to this effect. The hierarchical amplitudes $S_3$ and $S_4$ are constant as a function of scale between 1--$12 \Mpc$ and have similar values in all samples and catalogues, $S_3 \approx 2$ and $S_4 \approx 6$, despite the fact that $\xibar_2$, $\xibar_3$, and $\xibar_4$ differ from one sample to another by large factors (up to a factor of 4 in $\xibar_2$, 8 for $\xibar_3$, and 12 for $\xibar_4$). The agreement between the independent estimations of $S_3$ and $S_4$
[ "astro-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
16267345
comp-gas/9305004
1993-05-27
Global Bifurcations in Rayleigh-Benard Convection: Experiments, Empirical Maps and Numerical Bifurcation Analysis
We use nonlinear signal processing techniques, based on artificial neural networks, to construct an empirical mapping from experimental Rayleigh-Benard convection data in the quasiperiodic regime. The data, in the form of a one-parameter sequence of Poincare sections in the interior of a mode-locked region (resonance horn), are indicative of a complicated interplay of local and global bifurcations with respect to the experimentally varied Rayleigh number. The dynamic phenomena apparent in the data include period doublings, complex intermittent behavior, secondary Hopf bifurcations, and chaotic dynamics. We use the fitted map to reconstruct the experimental dynamics and to explore the associated local and global bifurcation structures in phase space. Using numerical bifurcation techniques we locate the stable and unstable periodic solutions, calculate eigenvalues, approximate invariant manifolds of saddle type solutions and identify bifurcation points. This approach constitutes a promising data post-processing procedure for investigating phase space and parameter space of real experimental systems; it allows us to infer phase space structures which the experiments can only probe with limited measurement precision and only at a discrete number of operating parameter settings.
[ "comp-gas", "chao-dyn", "nlin.CD", "nlin.CG" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "i kevrekidis_1", "name": "Ioannis [\"G.\"] Kevrekidis", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "r rico-martínez_1", "name": "Ramiro Rico-Martínez", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "r ecke_1", "name": "Robert [\"E.\"] Ecke", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "r farber_1", "name": "Robert [\"M.\"] Farber", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "a lapedes_1", "name": "Alan [\"S.\"] Lapedes", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
7445102
hep-ph/9306207
1993-06-02
Introductory Low-Energy Supersymmetry
Low-energy supersymmetry is a theoretical extension of the Standard Model of particle physics in which supersymmetry is invoked to explain the origin of the electroweak scale. In this approach, the energy scale of supersymmetry breaking can be no larger than about 1 TeV. In these lectures, a pedagogical account of softly broken supersymmetric gauge theories is presented. The minimal supersymmetric extension of the Standard Model (MSSM) is defined and constraints on its parameters are explored. The implications of supersymmetric tree-level interactions and its one-loop corrections are discussed. Low-energy supersymmetric model alternatives to the MSSM are briefly mentioned.
[ "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
119611086
math/9306206
1993-06-07
Noncommutative vector valued $L_p$-spaces and completely $p$-summing maps
Let $E$ be an operator space in the sense of the theory recently developed by Blecher-Paulsen and Effros-Ruan. We introduce a notion of $E$-valued non commutative $L_p$-space for $1 \leq p < \infty$ and we prove that the resulting operator space satisfies the natural properties to be expected with respect to e.g. duality and interpolation. This notion leads to the definition of a ``completely p-summing" map which is the operator space analogue of the $p$-absolutely summing maps in the sense of Pietsch-Kwapie\'n. These notions extend the particular case $p=1$ which was previously studied by Effros-Ruan.
[ "math.FA" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
14307448
hep-th/9306122
1993-06-23
Quantum Background Independence In String Theory
Not only in physical string theories, but also in some highly simplified situations, background independence has been difficult to understand. It is argued that the ``holomorphic anomaly'' of Bershadsky, Cecotti, Ooguri, and Vafa gives a fundamental explanation of some of the problems. Moreover, their anomaly equation can be interpreted in terms of a rather peculiar quantum version of background independence: in systems afflicted by the anomaly, background independence does not hold order by order in perturbation theory, but the exact partition function as a function of the coupling constants has a background independent interpretation as a state in an auxiliary quantum Hilbert space. The significance of this auxiliary space is otherwise unknown.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
18043298
cond-mat/9306054
1993-06-26
Interatomic potentials from first-principles calculations: the force-matching method
We present a new scheme to extract numerically ``optimal'' interatomic potentials from large amounts of data produced by first-principles calculations. The method is based on fitting the potential to ab initio atomic forces of many atomic configurations, including surfaces, clusters, liquids and crystals at finite temperature. The extensive data set overcomes the difficulties encountered by traditional fitting approaches when using rich and complex analytic forms, allowing to construct potentials with a degree of accuracy comparable to that obtained by ab initio methods. A glue potential for aluminum obtained with this method is presented and discussed.
[ "cond-mat" ]
[ "target.key_reference" ]
null
null
null
119466219
hep-ph/9306320
1993-06-26
Heavy Quark Symmetry
We review the current status of heavy quark symmetry and its applications to weak decays of hadrons containing a single heavy quark. After an introduction to the underlying physical ideas, we discuss in detail the formalism of the heavy quark effective theory, including a comprehensive treatment of symmetry breaking corrections. We then illustrate some nonperturbative approaches, which aim at a dynamical, QCD-based calculation of the universal form factors of the effective theory. The main focus is on results obtained using QCD sum rules. Finally, we perform an essentially model-independent analysis of semileptonic $B$ meson decays in the context of the heavy quark effective theory.
[ "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
117209501
nucl-th/9307014
1993-07-14
Calculation of the properties of the rotational bands of $^{155,157}$Gd
We reexamine the long-standing problem of the microscopic derivation of a particle-core coupling model. We base our research on the Klein-Kerman approach, as amended by D\"onau and Frauendorf. We describe the formalism to calculate energy spectra and transition strengths in some detail. We apply our formalism to the rotational nuclei $^{155,157}$Gd, where recent experimental data requires an explanation. We find no clear evidence of a need for Coriolis attenuation.
[ "nucl-th" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "p protopapas_1", "name": "Pavlos Protopapas", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "a klein_4", "name": "Abraham Klein", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "n walet_1", "name": "Niels [\"R.\"] Walet", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
119093598
astro-ph/9307028
1993-07-17
Hubble Space Telescope Images of the Subarcsecond Jet in DG Tau
We have applied a new restoration technique to archival [O~I], H$\alpha$, and continuum HST images of DG~Tau. The restored [O~I] and H$\alpha$ images show that DG~Tau has a jet with a projected length of 25~AU and width $\leq$10~AU, and is already collimated at a projected distance of $\sim$~40~AU (0\farcs25) from the star. Such a narrow width and short collimation distance for a stellar jet places important constraints on theoretical models of jet formation.
[ "astro-ph" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "j kepner_1", "name": "Jeremy Kepner", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "p hartigan_1", "name": "Patrick Hartigan", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "c yang_135", "name": "C. Yang", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "s strom_0", "name": "Shaye Strom", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
15096561
hep-ph/9307330
1993-07-24
Radiative Heavy Meson Transitions
We evaluate the radiative and hadronic decay rates of the $D^*$ mesons using the Heavy Quark Effective Theory and the Vector Meson Dominance hypothesis. We also estimate the width of the $B^*$ electromagnetic transitions and the radiative decays of positive parity $J^P=0^+, 1^+$ charmed mesons.
[ "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
16401756
alg-geom/9307010
1993-07-30
Generalized Hypergeometric Functions and Rational Curves on Calabi-Yau Complete Intersections in Toric Varieties
We formulate general conjectures about the relationship between the A-model connection on the cohomology of a $d$-dimensional Calabi-Yau complete intersection $V$ of $r$ hypersurfaces $V_1, \ldots, V_r$ in a toric variety ${\bf P}_{\Sigma}$ and the system of differential operators annihilating the special hypergeometric function $\Phi_0$ depending on the fan $\Sigma$. In this context, the Mirror Symmetry phenomenon can be interpreted as the following twofold characterization of the series $\Phi_0$. First, $\Phi_0$ is defined by intersection numbers of rational curves in ${\bf P}_{\Sigma}$ with the hypersurfaces $V_i$ and their toric degenerations. Second, $\Phi_0$ is the power expansion near a boundary point of the moduli space of the monodromy invariant period of the holomorphic differential $d$-form on an another Calabi-Yau $d$-fold $V'$ which is called Mirror of $V$. Using the generalized hypergeometric series, we propose a general construction for Mirrors $V'$ of $V$ and canonical $q$-coordinates on the moduli spaces of Calabi-Yau manifolds.
[ "alg-geom", "math.AG" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
18730748
hep-ph/9308214
1993-08-03
Critical Exponents from the Effective Average Action
We compute the critical behaviour of three-dimensional scalar theories using a new exact non-perturbative evolution equation. Our values for the critical exponents agree well with previous precision estimates.
[ "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
16619372
hep-th/9308043
1993-08-09
Classification and construction of unitary topological field theories in two dimensions
We prove that unitary two-dimensional topological field theories are uniquely characterized by $n$ positive real numbers $\lambda _1,\ldots \lambda _n$ which can be regarded as the eigenvalues of a hermitean handle creation operator. The number $n$ is the dimension of the Hilbert space associated with the circle and the partition functions for closed surfaces have the form $$ Z_g=\sum_{i=1}^{n}\lambda _i^{g-1} $$ where $g$ is the genus. The eigenvalues can be arbitary positive numbers. We show how such a theory can be constructed on triangulated surfaces.
[ "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
14519145
hep-th/9308122
1993-08-26
Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces
Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed within the framework of toric geometry. It allows to establish mirror symmetry of Calabi-Yau spaces for which the mirror manifold had been unavailable in previous constructions. Mirror maps and Yukawa couplings are explicitly given for several examples with two and three moduli.
[ "hep-th", "alg-geom", "math.AG" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
119361663
astro-ph/9309003
1993-09-01
Maximum-Likelihood Analysis of the COBE Angular Correlation Function
We have used maximum-likelihood estimation to determine the quadrupole amplitude $Q_{\rm rms-PS}$ and the spectral index $n$ of the density fluctuation power spectrum at recombination from the \cobe\ DMR data. We find a strong correlation between the two parameters of the form $Q_{\rm rms-PS}=(15.7\pm 2.6)\exp[0.46(1-n)]\mk$ for fixed $n$. Our result is slightly smaller than and has a smaller statistical uncertainty than the 1992 estimate of Smoot et al.
[ "astro-ph" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "u seljak_2", "name": "Uroš Seljak", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null }, { "author_id": "e bertschinger_1", "name": "Edmund Bertschinger", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
17483556
math/9309203
1993-09-08
Ultrafilters: Where topological dynamics = algebra = combinatorics
We survey some connections between topological dynamics, semigroups of ultrafilters, and combinatorics. As an application, we give a proof, based on ideas of Bergelson and Hindman, of the Hales-Jewett partition theorem.
[ "math.LO" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "a blass_1", "name": "Andreas Blass", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
17775674
math/9309208
1993-09-16
Questions and answers -- a category arising in linear logic, complexity theory, and set theory
A category used by de Paiva to model linear logic also occurs in Vojtas's analysis of cardinal characteristics of the continuum. Its morphisms have been used in describing reductions between search problems in complexity theory. We describe this category and how it arises in these various contexts. We also show how these contexts suggest certain new multiplicative connectives for linear logic. Perhaps the most interesting of these is a sequential composition suggested by the set-theoretic application.
[ "math.LO" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "a blass_1", "name": "Andreas Blass", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
8884160
chao-dyn/9309005
1993-09-16
Entropy and Long range correlations in literary English
Recently long range correlations were detected in nucleotide sequences and in human writings by several authors. We undertake here a systematic investigation of two books, Moby Dick by H. Melville and Grimm's tales, with respect to the existence of long range correlations. The analysis is based on the calculation of entropy like quantities as the mutual information for pairs of letters and the entropy, the mean uncertainty, per letter. We further estimate the number of different subwords of a given length $n$. Filtering out the contributions due to the effects of the finite length of the texts, we find correlations ranging to a few hundred letters. Scaling laws for the mutual information (decay with a power law), for the entropy per letter (decay with the inverse square root of $n$) and for the word numbers (stretched exponential growth with $n$ and with a power law of the text length) were found.
[ "chao-dyn", "nlin.CD" ]
[ "target.author.publication_history.key_reference", "target.key_reference" ]
null
null
null
6654333
math/9309212
1993-09-21
Combinatorial Proofs of Capelli's and Turnbull's Identities from Classical Invariant Theory
Capelli's and Turnbull's classical identities are given elegant combinatorial proofs.
[ "math.CO" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
17913677
alg-geom/9310001
1993-10-02
Towards the Mirror Symmetry for Calabi-Yau Complete intersections in Gorenstein Toric Fano Varieties
We propose a combinatorical duality for lattice polyhedra which conjecturally gives rise to the pairs of mirror symmetric families of Calabi-Yau complete intersections in toric Fano varieties with Gorenstein singularities. Our construction is a generalization of the polar duality proposed by Batyrev for the case of hypersurfaces.
[ "alg-geom", "math.AG" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
16190640
math/9310210
1993-10-05
On the divisible parts of quotient groups
Techniques of combinatorial set theory are applied to the following algebraic problem. Suppose G is an abelian group such that, for all countable subgroups C, the divisible part of the quotient G/C is countable. What can one conclude about the size of the divisible part of G/K when the cardinality of the subgroup K is a given uncountable cardinal?
[ "math.LO" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "a blass_1", "name": "Andreas Blass", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
17958277
math/9310211
1993-10-05
Is game semantics necessary?
We discuss the extent to which game semantics is implicit in the formalism of linear logic and in the intuitions underlying linear logic.
[ "math.LO" ]
[ "target.author.publication_history" ]
[]
[ { "author_id": "a blass_1", "name": "Andreas Blass", "publication_history": null, "h_index": null, "num_papers": null, "num_citations": null } ]
null
18222916
alg-geom/9310003
1993-10-05
Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
We consider families ${\cal F}(\Delta)$ consisting of complex $(n-1)$-dimensional projective algebraic compactifications of $\Delta$-regular affine hypersurfaces $Z_f$ defined by Laurent polynomials $f$ with a fixed $n$-dimensional Newton polyhedron $\Delta$ in $n$-dimensional algebraic torus ${\bf T} =({\bf C}^*)^n$. If the family ${\cal F}(\Delta)$ defined by a Newton polyhedron $\Delta$ consists of $(n-1)$-dimensional Calabi-Yau varieties, then the dual, or polar, polyhedron $\Delta^*$ in the dual space defines another family ${\cal F}(\Delta^*)$ of Calabi-Yau varieties, so that we obtain the remarkable duality between two {\em different families} of Calabi-Yau varieties. It is shown that the properties of this duality coincide with the properties of {\em Mirror Symmetry} discovered by physicists for Calabi-Yau $3$-folds. Our method allows to construct many new examples of Calabi-Yau $3$-folds and new candidats for their mirrors which were previously unknown for physicists. We conjecture that there exists an isomorphism between two conformal field theories corresponding to Calabi-Yau varieties from two families ${\cal F}(\Delta)$ and ${\cal F}(\Delta^*)$.
[ "alg-geom", "math.AG" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
15925650
alg-geom/9310005
1993-10-07
Teichm\"uller Theory and the Universal Period Mapping via Quantum Calculus and the $H^{1/2}$ Space on the Circle
The Universal Teichm\"uller Space, $T(1)$, is a universal parameter space for all Riemann surfaces. In earlier work of the first author it was shown that one can canonically associate infinite- dimensional period matrices to the coadjoint orbit manifold $Diff(S^1)/Mobius(S^1)$ -- which resides within $T(1)$ as the (Kirillov-Kostant) submanifold of ``smooth points'' of $T(1)$. We now extend that period mapping $\Pi$ to the entire Universal Teichm\"uller space utilizing the theory of the Sobolev space $H^{1/2}(S^1)$. $\Pi$ is an equivariant injective holomorphic immersion of $T(1)$ into Universal Siegel Space, and we describe the Schottky locus utilizing Connes' ``quantum calculus''. There are connections to string theory. Universal Teichm\"uller Space contains also the separable complex submanifold $T(H_\infty)$ -- the Teichm\"uller space of the universal hyperbolic lamination. Genus-independent constructions like the universal period mapping proceed naturally to live on this completion of the classical Teichm\"uller spaces. We show that $T(H_\infty)$ carries a natural convergent Weil-Petersson pairing.
[ "alg-geom", "funct-an", "hep-th", "math.AG", "math.FA" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
14284851
hep-th/9311007
1993-11-01
Dynamical Moving Mirrors and Black Holes
A simple quantum mechanical model of $N$ free scalar fields interacting with a dynamical moving mirror is formulated and shown to be equivalent to two-dimensional dilaton gravity. We derive the semi-classical dynamics of this system, by including the back reaction due to the quantum radiation. We develop a hamiltonian formalism that describes the time evolution as seen by an asymptotic observer, and write a scattering equation that relates the in-falling and out-going modes at low energies. At higher incoming energy flux, however, the classical matter-mirror dynamics becomes unstable and the mirror runs off to infinity. This instability provides a useful paradigm for black hole formation and introduces an analogous information paradox. Finally, we propose a new possible mechanism for restoring the stability in the super-critical situation, while preserving quantum coherence. This mechanism is based on the notion of an effective time evolution, that takes into account the quantum mechanical effect of the measurement of the Hawking radiation on the state of the infalling matter.
[ "hep-th", "gr-qc" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
18717129
astro-ph/9311028
1993-11-11
Evolution of One-Point Distributions from Gaussian Initial Fluctuations
We study the quasilinear evolution of the one-point probability density functions (PDFs) of the smoothed density and velocity fields in a cosmological gravitating system beginning with Gaussian initial fluctuations. Our analytic results are based on the Zel'dovich approximation and laminar flow. A numerical analysis extends the results into the multistreaming regime using the smoothed fields of a CDM N-body simulation. We find that the PDF of velocity, both Lagrangian and Eulerian, remains Gaussian under the laminar Zel'dovich approximation, and it is almost indistinguishable from Gaussian in the simulations. The PDF of mass density deviates from a normal distribution early in the quasilinear regime and it develops a shape remarkably similar to a lognormal distribution with one parameter, the \rms density fluctuation $\sigma$. Applying these results to currently available data we find that the PDFs of the velocity and density fields, as recovered by the \pot\ procedure from observed velocities assuming $\Omega=1$, or as deduced from a redshift survey of \iras\ galaxies assuming that galaxies trace mass, are consistent with Gaussian initial fluctuations.
[ "astro-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
15964509
astro-ph/9311032
1993-11-15
Morphology of the Interstellar Cooling Lines Detected by COBE
The FIRAS instrument on the COBE satellite has conducted an unbiased survey of the far-infrared emission from our Galaxy. The first results of this survey were reported by Wright et al. (1991). We report the results of new analyses of this spectral survey, which includes emission lines from 158 um C+, 122 um and 205 um N+, 370 um and 609 um C, and CO J=2-1 through 5-4. We report the morphological distribution along the galactic plane (b=0) of the spectral line emission, and the high galactic latitude intensities of the C+ and 205 um N+ emission. The high galactic latitude intensity cosecant of the 158 um fine structure transition from C+ is presented, and C+ is seen to decrease more rapidly than the far infrared intensity with increasing galactic latitude. C+ and H I emission are closely correlated with a C+ cooling rate of (2.65 +/- 0.15)x10^{-26} erg/s/H-atom. We conclude that this emission arises almost entirely from the Cold Neutral Medium. The high galactic latitude intensity of the 205 um fine structure transition from N+ arises entirely from the Warm Ionized Medium, and its cosecant is presented. We estimate the total ionizing photon rate in the Galaxy to be 3.5x10^{53} ionizing photons per second, based on the 205 um N+ transition.
[ "astro-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
119395369
astro-ph/9311038
1993-11-16
The Apm Galaxy Survey IV: Redshifts of Rich Clusters of Galaxies
We present redshifts for a sample of 229 clusters selected from the APM Galaxy Survey, 189 of which are new redshift determinations. Non-cluster galaxy redshifts have been rejected from this sample using a likelihood ratio test based on the projected and apparent magnitude distributions of the cluster fields. We test this technique using cluster fields in which redshifts have been measured for more than 10 galaxies. Our redshift sample is nearly complete and has been used in previous papers to study the three dimensional distribution of rich clusters of galaxies. 157 of the clusters in our sample are listed in the Abell catalogue or supplement, and the remainder are new cluster identifications.
[ "astro-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
17415955
gr-qc/9311028
1993-11-16
Acoustic propagation in fluids: an unexpected example of Lorentzian geometry
It is a deceptively simple question to ask how acoustic disturbances propagate in a non--homogeneous flowing fluid. If the fluid is barotropic and inviscid, and the flow is irrotational (though it may have an arbitrary time dependence), then the equation of motion for the velocity potential describing a sound wave can be put in the (3+1)--dimensional form: d'Alembertian psi = 0. That is partial_mu(sqrt{-g} g^{mu nu} partial_nu psi)/sqrt{-g} = 0. The acoustic metric --- g_{mu nu}(t,x) --- governing the propagation of sound depends algebraically on the density, flow velocity, and local speed of sound. Even though the underlying fluid dynamics is Newtonian, non--relativistic, and takes place in flat space + time, the fluctuations (sound waves) are governed by a Lorentzian spacetime geometry.
[ "gr-qc", "hep-th" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
119463690
hep-ph/9311316
1993-11-19
Hadronic Contributions to the Muon $g-2$ and Low-Energy QCD
The contributions to the muon anomalous magnetic moment from hadronic vacuum polarization and from hadronic light-by-light scattering are reexamined within the frame work of chiral perturbation theory; the $1/N_c$-expansion; and the extended Nambu Jona-Lasinio model of low-energy QCD.
[ "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
40582596
hep-ph/9311341
1993-11-23
The Nonperturbative Regime in QCD Resummation for Gauge Boson Production at Hadron Colliders
We study the nonperturbative functions in the Collins--Soper--Sterman resummation formalism by examing Drell--Yan data in both fixed target and collider experiments and then predict the transverse momentum distributions of the $W^\pm$ and $Z^0$ bosons at the Tevatron. Our results differ from that in the literature and agree better with published CDF data. Using statistical arguments, we find a $1\,$fb${}^{-1}$ luminosity at the Fermilab Tevatron should be able to provide useful constraints on the nonperturbative functions.
[ "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
9620422
hep-ph/9311340
1993-11-23
Two-Loop Renormalization Group Equations for Soft Supersymmetry-Breaking Couplings
We compute the two-loop renormalization group equations for all soft supersymmetry-breaking couplings in a general softly broken N=1 supersymmetric model. We also specialize these results to the Minimal Supersymmetric Standard Model.
[ "hep-ph" ]
[ "target.author.publication_history.key_reference" ]
null
null
null
End of preview. Expand in Data Studio

PreScience: A Benchmark for Forecasting Scientific Contributions

Dataset Summary

Can AI systems trained on the scientific record up to a fixed point in time forecast the scientific advances that follow? Such a capability could help researchers identify collaborators and impactful research directions, and anticipate which problems and methods will become central next. We introduce PreScience, a scientific forecasting benchmark that decomposes the research process into four interdependent generative tasks: collaborator prediction, prior work selection, contribution generation, and impact prediction. PreScience is a carefully curated dataset of 98,000 recent AI-related research papers (titles and abstracts), featuring disambiguated author identities, temporally aligned scholarly metadata, and a structured graph of companion author publication histories and citations spanning 502,000 total papers.

Dataset Statistics

Split Target Papers Total Papers Unique Authors Date Range
Train 44,990 373,716 106,913 Oct 2023 - Oct 2024
Test 52,836 464,942 129,020 Oct 2024 - Oct 2025
Total 97,826 501,866 182,727 Oct 2023 - Oct 2025

arXiv Categories: cs.CL, cs.LG, cs.AI, cs.ML, cs.CV, cs.IR, cs.NE

Average Statistics (computed over target papers):

  • Authors per paper: 5.15
  • Words in abstract: 187.1
  • Key references: 3.08 (median: 3)
  • Citations at 12 months: 5.57

Dataset Structure

Dataset Construction

PreScience is built from research papers posted to arXiv from October 2023 to October 2025 in seven AI-adjacent categories: cs.CL, cs.LG, cs.AI, cs.ML, cs.CV, cs.IR, and cs.NE. These constitute the target papers in our benchmark. Papers are represented by their titles and abstracts (full texts are not included).

We include a set of companion papers consisting of:

  • Key references of target papers
  • Prior publications of target authors
  • Key references of those prior publications

Together, these form the historical corpus H<t used to condition all tasks.

Ensuring Dataset Quality

We apply several design choices to ensure that PreScience supports reliable modeling and evaluation rather than reflecting artifacts of noisy metadata or degenerate task instances:

  • Author disambiguation: We disambiguate author profiles using the S2AND pipeline (Subramanian et al., 2021), yielding better author clusters than the current Semantic Scholar Academic Graph release
  • Key reference filtering: We restrict target papers to those with between 1 and 10 key references, excluding instances with zero or unusually large key-reference sets
  • Temporal alignment: All author- and reference-level metadata (publication counts, citation counts, h-indices) are temporally aligned to each paper's publication date to prevent leakage of future information into task inputs

Files

This dataset contains:

  1. train.parquet: Training period papers (373,716 papers from Oct 2023 - Oct 2024)
  2. test.parquet: Test period papers (464,942 papers from Oct 2024 - Oct 2025)
  3. author_disambiguation.jsonl: Mapping from S2AND-disambiguated author ID → S2AG author IDs
  4. author_publications.jsonl: Mapping from S2AND-disambiguated author ID → S2AG corpus IDs of their publications

Paper Schema

Roles

Papers in the dataset are each assigned a subset of the following roles:

  • target: Primary evaluation papers (Oct 2023-2024 for train, Oct 2024-2025 for test)
  • target.key_reference: Highly influential papers cited by targets
  • target.author.publication_history: Prior work by target paper authors
  • target.author.publication_history.key_reference: Key refs of authors' prior work

Each paper record contains:

{
  # Basic metadata (available for all papers)
  "corpus_id": str,                     # S2AG corpus ID
  "arxiv_id": str,                      # arXiv identifier
  "date": str,                          # Publication date (YYYY-MM-DD)
  "categories": list[str],              # arXiv categories
  "title": str,                         # Paper title
  "abstract": str,                      # Paper abstract
  "roles": list[str],                   # Paper roles in dataset

  # Citation data (available for target papers [guaranteed] and target.author.publication_history papers [best-effort])
  "key_references": list[{              # Highly influential references
    "corpus_id": str,
    "num_citations": int                # Citations at target paper date
  }],

  # Author data (availability for target papers [guaranteed] and target.author.publication_history papers [best-effort])
  "authors": list[{                     # Author roster
    "author_id": str,                   # S2AND-disambiguated ID
    "name": str,
    "publication_history": list[str],   # Prior corpus_ids
    "h_index": int,                     # At target paper date
    "num_papers": int,
    "num_citations": int
  }],

  # Impact data (target papers only)
  "citation_trajectory": list[int]      # Monthly cumulative citation counts
}

Usage

Using with PreScience codebase

The PreScience codebase includes a helper function to load data from HuggingFace:

import utils

# Load from HuggingFace
all_papers, author_disambiguation, embeddings = utils.load_corpus(
    hf_repo_id="allenai/prescience",
    split="test",
    embeddings_dir="./embeddings",   # Optional: for embedding-based baselines
    embedding_type="grit"            # Optional: gtr, specter2, or grit
)

Adhoc Loading

from datasets import load_dataset

# Load dataset
dataset = load_dataset("allenai/prescience")

# Access a paper
paper = dataset["test"][0]
print(f"Title: {paper['title']}")
print(f"Authors: {len(paper['authors'])}")
print(f"Roles: {paper['roles']}")

Computing Embeddings

Embeddings are not included in this dataset, but can be computed using the dataset/embeddings/compute_paper_embeddings.py script provided with the PreScience codebase.

Citation

@misc{ajith2026presciencebenchmarkforecastingscientific,
      title={PreScience: A Benchmark for Forecasting Scientific Contributions}, 
      author={Anirudh Ajith and Amanpreet Singh and Jay DeYoung and Nadav Kunievsky and Austin C. Kozlowski and Oyvind Tafjord and James Evans and Daniel S. Weld and Tom Hope and Doug Downey},
      year={2026},
      eprint={2602.20459},
      archivePrefix={arXiv},
      primaryClass={cs.AI},
      url={https://arxiv.org/abs/2602.20459}, 
}

License

ODC-BY License

Links

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