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hep-th/9405020
Path integral treatment of two- and three-dimensional delta-function potentials and application to spin-1/2 Aharonov-Bohm problem
Delta-function potentials in two- and three-dimensional quantum mechanics are analyzed by the incorporation of the self-adjoint extension method to the path integral formalism. The energy-dependent Green functions for free particle plus delta-function potential systems are explicitly calculated. Also the energy-depende...
1994-05-04
2009-10-28
[ "hep-th" ]
D.K.Park
hep-th/9405031
Anisotropic Solutions For Orbifold Moduli From Duality Invariant Gaugino Condensates
The values of the $T$ and $U$ moduli are studied for those ${\bf Z}_N $ Coxeter orbifolds with the property that some of the twisted sectors have fixed planes for which the six-torus ${\bf T}^6 $ can not be decomposed into a direct sum ${\bf T}^2\bigoplus {\bf T}^4 $ with the fixed plane lying in ${\bf T}^2 $. Such mod...
1994-05-04
2015-06-26
[ "hep-th" ]
D. Bailin, A. Love, W.A. Sabra and S. Thomas
hep-th/9405029
Supersymmetry and Quantum Mechanics
In the past ten years, the ideas of supersymmetry have been profitably applied to many nonrelativistic quantum mechanical problems. In particular, there is now a much deeper understanding of why certain potentials are analytically solvable and an array of powerful new approximation methods for handling potentials which...
1994-05-04
2010-11-01
[ "hep-th" ]
Fred Cooper, Avinash Khare and Uday Sukhatme
hep-th/9405028
Spatial Geometry of the Electric Field Representation of Non-Abelian Gauge Theories
A unitary transformation $\Ps [E]=\exp (i\O [E]/g) F[E]$ is used to simplify the Gauss law constraint of non-abelian gauge theories in the electric field representation. This leads to an unexpected geometrization because $\o^a_i\equiv -\d\O [E]/\d E^{ai}$ transforms as a (composite) connection. The geometric informatio...
1994-05-04
2009-10-08
[ "hep-th" ]
M. Bauer, D.Z. Freedman, P.E. Haagensen
hep-th/9405025
On SW-minimal models and N=1 supersymmetric Quantum Toda-field theories
We construct free field representations of the $SW$-algebras SW(3/2,2) and SW(3/2,3/2,2) by using the corresponding Toda-Field-Theories. In constructing the series of minimal models using covariant vertex operators, we find a necessary restriction on the Cartan matrix of the Super-Lie-Algebra, also for the general case...
1994-05-04
2015-06-26
[ "hep-th" ]
Steffen Mallwitz
hep-th/9405024
Effective Mu-Term in Superstring Theory
In four-dimensional compactifications of the heterotic superstring theory the K\"ahler potential has a form which generically induces a superpotential mass term for Higgs particles once supersymmetry is broken at low energies. This ``$\mu$-term'' is analyzed in a model-independent way at the tree level and in the one-l...
1994-05-04
2010-11-01
[ "hep-th", "hep-ph" ]
I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor
hep-th/9405026
Strings Propagating in the 2+1 Dimensional Black Hole Anti de Sitter Spacetime
We study the string propagation in the 2+1 black hole anti de Sitter background (2+1 BH-ADS). We find the first and second order fluctuations around the string center of mass and obtain the expression for the string mass. The string motion is stable, all fluctuations oscillate with real frequencies and are bounded, eve...
1994-05-04
2009-10-28
[ "hep-th" ]
A.L. Larsen and N. Sanchez
hep-th/9405027
Parity violation, anyon scattering and the mean field approximation
Some general features of the scattering of boson-based anyons with an added non-statistical interaction are discussed. Periodicity requirements of the phase shifts are derived, and used to illustrate the danger inherent in separating these phase shifts into the well-known pure Aharanov-Bohm phase shifts, and an additio...
1994-05-04
2011-08-11
[ "hep-th" ]
D. Caenepeel and R. MacKenzie
hep-th/9405023
The Highest Weight Property for the $SU_{q}(n)$ Invariant Spin Chains
The $SU_{q}(n)$ generators are obtained as large spectral parameter limit of the Yang-Baxter operators in the integrable $SU_{q}(n)$ invariant vertex model. The commutation relations, including Serre relations, are obtained as limits of the Yang-Baxter equations. The recently found eigenvectors of the $SU_{q}(n)$ invar...
1994-05-04
2009-10-28
[ "hep-th", "nlin.SI", "solv-int" ]
H.J. de Vega and A. Gonz\'alez--Ruiz
hep-th/9405014
Form-Factor Bootstrap and the Operator Content of Perturbed Minimal Models
The form-factor bootstrap approach is applied to the perturbed minimal models $M_{2,2n+3}$ in the direction of the primary field $\phi_{1,3}$. These theories are integrable and contain $n$ massive scalar particles, whose $S$--matrix is purely elastic. The form-factor equations do not refer to a specific operator. We us...
1994-05-03
2009-10-28
[ "hep-th" ]
A. Koubek
hep-th/9405015
Canonical Structure of 2D Black Holes
We determine the canonical structure of two-dimensional black-hole solutions arising in $2D$ dilaton gravity. By choosing the Cauchy surface appropriately we find that the canonically conjugate variable to the black hole mass is given by the difference of local (Schwarzschild) time translations at right and left spatia...
1994-05-03
2009-10-28
[ "hep-th" ]
J. Navarro-Salas, M. Navarro and C. F. Talavera
hep-th/9405013
Planckian Scatterings of Massive Particles and Gravitational Shock Waves
The scattering process of two particles at Planck energies or beyond is calculated using the gravitational shock wave metric for a massive black hole. Then, the scattering between a heavy mass particle and a small mass one is deal with. The cross section contains an extra new term of $\sigma \propto G^3$ as the correct...
1994-05-03
2007-05-23
[ "hep-th" ]
Koichi HAYASHI and Toshiharu SAMURA
hep-th/9405017
Superspace Supervortices
We present the theory describing supersymmetrical vortices in the curved superspace of the (1,0) supergravity. The action is defined as a (1,0) locally supersymmetric $SU(2)/U(1)$ coset perturbed by the cosmological constant-like term. The perturbation is such that it preserves the integrability of the coset model. Bec...
1994-05-03
2009-10-28
[ "hep-th" ]
S. J. Gates Jr. and O. A. Soloviev
hep-th/9405018
Relation Between Hyperelliptic Integrals
A simple property of the integrals over the hyperelliptic surfaces of arbitrary genus is observed. Namely, the derivatives of these integrals with respect to the branching points are given by the linear combination of the same integrals. We check that this property is responsible for the solution to the level zero Kniz...
1994-05-03
2009-10-28
[ "hep-th" ]
S. Pakuliak and A. Perelomov
hep-th/9405016
Perturbed Gauged WZNW Models
We discuss a new type of unitary perturbations around conformal theories inspired by the $\sigma$-model perturbation of the nonunitary WZNW model. We show that the nonunitary level $k$ WZNW model perturbed by its sigma model term goes to the unitary level $-k$ WZNW model. When plugged into the gauged WZNW model the giv...
1994-05-03
2009-10-28
[ "hep-th" ]
O. A. Soloviev
hep-th/9405005
Random matrix theory and $QCD_3$
We suggest that the spectral properties near zero virtuality of three dimensional QCD, follow from a Hermitean random matrix model. The exact spectral density is derived for this family of random matrix models both for even and odd number of fermions. New sum rules for the inverse powers of the eigenvalues of the Dirac...
1994-05-02
2009-10-28
[ "hep-th", "cond-mat" ]
J.J.M. Verbaarschot and I. Zahed
hep-th/9405006
Chiral random matrix theory and QCD
As was shown by Leutwyler and Smilga, the fact that chiral symmetry is broken and the existence of a effective finite volume partition function leads to an infinite number of sum rules for the eigenvalues of the Dirac operator in QCD. In this paper we argue these constraints, together with universality arguments from q...
1994-05-02
2009-09-25
[ "hep-th", "cond-mat" ]
Jacobus Verbaarschot
hep-th/9405012
Eta-Invariants and Determinant Lines
We study eta-invariants on odd dimensional manifolds with boundary. The dependence on boundary conditions is best summarized by viewing the (exponentiated) eta-invariant as an element of the (inverse) determinant line of the boundary. We prove a gluing law and a variation formula for this invariant. This yields a new, ...
1994-05-02
2016-09-06
[ "hep-th", "dg-ga", "math.DG" ]
Xianzhe Dai and Daniel S. Freed
hep-th/9404193
Discrete Time from Quantum Physics
't Hooft has recently developed a discretisation of (2+1) gravity which has a multiple-valued Hamiltonian and which therefore admits quantum time evolution only in discrete steps. In this paper, we describe several models in the continuum with single-valued equations of motion in classical physics, but with multiple-va...
1994-05-02
2009-10-28
[ "hep-th", "gr-qc", "hep-ph" ]
A.P.Balachandran and L.Chandar
hep-th/9405008
Dynamical correlation functions in the Calogero-Sutherland model
We compute the dynamical Green function and density-density correlation in the Calogero-Sutherland model for all integer values of the coupling constant. An interpretation of the intermediate states in terms of quasi-particles is found.
1994-05-02
2009-10-28
[ "hep-th", "cond-mat" ]
F. Lesage, V. Pasquier and D. Serban
hep-th/9405001
Surface Motions and Fluid Dynamics
A certain class of surface motions, including those of a relativistic membrane minimizing the 3-dimensional volume swept out in Minkowski-space, is shown to be equivalent to 3-dimensional steady-state irrotational inviscid isentropic gas-dynamics. The SU($\infty $) Nahm equations turn out to correspond to motions where...
1994-05-02
2009-10-28
[ "hep-th" ]
Jens Hoppe
hep-th/9405007
The Internal Geometry of an Evaporating Black Hole
We present a semi-classical model for the formation and evaporation of a four dimensional black hole. We solve the equations numerically and obtain solutions describing the entire the space-time geometry from the collapse to the end of the evaporation. The solutions satisfy the evaporation law: $\dot M \propto -M^{-2}$...
1994-05-02
2010-11-01
[ "hep-th", "gr-qc" ]
Renaud Parentani and Tsvi Piran
hep-th/9405032
Fermion Scattering off Dilatonic Black Holes
The scattering of massless fermions off magnetically charged dilatonic black holes is reconsidered and a violation of unitarity is found. Even for a single species of fermion it is possible for a particle to disappear into the black hole with its information content.
1994-05-02
2009-10-28
[ "hep-th" ]
A. GHOSH and P. MITRA (Saha Institute of Nuclear Physics, Calcutta)
hep-th/9405004
Two-matrix model and c=1 string theory
We show that the most general two--matrix model with bilinear coupling underlies $c=1$ string theory. More precisely we prove that $W_{1+\infty}$ constraints, a subset of the correlation functions and the integrable hierarchy characterizing such two--matrix model, correspond exactly to the $W_{1+\infty}$ constraints, t...
1994-05-02
2009-10-28
[ "hep-th" ]
L.Bonora and C.S.Xiong
hep-th/9405003
Spin--spin critical point correlation functions for the 2D random bond Ising and Potts models
We compute the combined two and three loop order correction to the spin-spin correlation functions for the 2D Ising and q-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation group approach for the perturbation series around the conformal field theories representing ...
1994-05-02
2009-10-28
[ "hep-th", "cond-mat", "hep-lat" ]
Vladimir Dotsenko, Marco Picco and Pierre Pujol
hep-th/9405009
Self-adjoint Extension Approach to the spin-1/2 Aharonov-Bohm-Coulomb Problem
The spin-1/2 Aharonov-Bohm problem is examined in the Galilean limit for the case in which a Coulomb potential is included. It is found that the application of the self-adjoint extension method to this system yields singular solutions only for one-half the full range of flux parameter which is allowed in the limit of v...
1994-05-02
2009-10-28
[ "hep-th" ]
D.K. Park
hep-th/9405002
Moduli Spaces and Target Space Duality Symmetries in $(0,2)\; Z_N$ Orbifold Theories with Continuous Wilson Lines
We present the coset structure of the untwisted moduli space of heterotic $(0,2) \; Z_N$ orbifold compactifications with continuous Wilson lines. For the cases where the internal 6-torus $T_6$ is given by the direct sum $T_4 \oplus T_2$, we explicitly construct the K\"{a}hler potentials associated with the underlying 2...
1994-05-02
2009-10-07
[ "hep-th" ]
G. Lopes Cardoso, D. Luest and T. Mohaupt
hep-th/9405010
Asymptotics for the Fredholm Determinant of the Sine Kernel on a Union of Intervals
In the bulk scaling limit of the Gaussian Unitary Ensemble of Hermitian matrices the probability that an interval of length $s$ contains no eigenvalues is the Fredholm determinant of the sine kernel $\sin(x-y)\over\pi(x-y)$ over this interval. A formal asymptotic expansion for the determinant as $s$ tends to infinity w...
1994-05-02
2009-10-28
[ "hep-th", "math.CA", "nlin.SI", "solv-int" ]
Harold Widom
hep-th/9405011
Generalized Hirota Equations and Representation Theory. I. The case of $SL(2)$ and $SL_q(2)$"
This paper begins investigation of the concept of ``generalized $\tau$-function'', defined as a generating function of all the matrix elements of a group element $g \in G$ in a given highest-weight representation of a universal enveloping algebra ${\cal G}$. In the generic situation, the time-variables correspond to th...
1994-05-02
2009-10-28
[ "hep-th", "nlin.SI", "solv-int" ]
A.Gerasimov, S.Khoroshkin, D.Lebedev, A.Mironov, A.Morozov
hep-th/9404191
On `rolling moduli' solutions in string cosmology
Given a static string solution with some free constant parameters (`moduli') it may be possible to construct a time-dependent solution by just replacing the moduli by some functions of time. We present several examples when such `rolling moduli' ansatz is consistent. In particular, the anisotropic D=4 cosmological solu...
1994-05-01
2009-09-17
[ "hep-th" ]
A.A. Tseytlin
hep-th/9404192
Density Correlation Functions in Calogero Sutherland Models
Using arguments from two dimensional Yang-Mills theory and the collective coordinate formulation of the Calogero-Sutherland model, we conjecture the dynamical density correlation function for coupling $l$ and $1/l$, where $l$ is an integer. We present overwhelming evidence that the conjecture is indeed correct.
1994-05-01
2011-07-19
[ "hep-th", "cond-mat" ]
Joseph A. Minahan and Alexios P. Polychronakos
hep-th/9404190
Supersymmetry algebras and Lorentz invariance for d=10 Super Yang-Mills
We consider ways in which conventional supersymmetry can be embedded in the set of more general fermionic transformations proposed recently [\Ref{B}] as a framework in which to study $d=10$ super Yang-Mills. Solutions are exhibited which involve closed algebras of various numbers of supersymmetries together with their ...
1994-04-30
2009-10-28
[ "hep-th" ]
Jonathan M. Evans
hep-th/9404189
Multicritical Behavior of $c=1$ Matrix Model
We discuss multicritical behavior of $c=1$ matrix model, extending the recent work of ref. \cite{CIO} on a nonperturbative completion of the density of states function. For the odd orders of multicriticality, we are able to determine the higher genus contributions and a nonperturbative completion from the WKB wave func...
1994-04-30
2016-09-06
[ "hep-th" ]
H. Itoyama and M. Koike
hep-th/9404188
Boundary Bound States in Affine Toda Field Theory
We demonstrate that the generalization of the Coleman-Thun mechanism may be applied to the situation, when considering scattering processes in 1+1-dimensions in the presence of reflecting boundaries. For affine Toda field theories we find that the binding energies of the bound states are always half the sum over a set ...
1994-04-30
2015-06-26
[ "hep-th" ]
A. Fring and R.Koberle
hep-th/9404180
On string cosmology and the RG flow in 2d field theory
Time-dependent solutions of bosonic string theory resemble renormalisation group trajectories in the space of 2d field theories: they often interpolate between repulsive and attractive static solutions. It is shown that the attractive static solutions are those whose spatial sections are minima of |\bar c-25|, where \b...
1994-04-29
2009-09-17
[ "hep-th" ]
C.Schmidhuber and A.A.Tseytlin
hep-th/9404182
Only hybrid anyons can exist in broken symmetry phase of nonrelativistic $U(1)^{2}$ Chern-Simons theory
We present two examples of parity-invariant $[U(1)]^{2}$ Chern-Simons-Higgs models with spontaneously broken symmetry. The models possess topological vortex excitations. It is argued that the smallest possible flux quanta are composites of one quantum of each type $(1,1)$. These hybrid anyons will dominate the statisti...
1994-04-29
2009-10-28
[ "hep-th", "cond-mat" ]
Jacek Dziarmaga
hep-th/9404187
The one-loop effective action and trace anomaly in four dimensions
The one-loop effective action for a generic set of quantum fields is calculared as a nonlocal expansion in powers of the curvatures (field strengths). This expansion is obtained to third order in the curvature. It is stressed that the covariant vertices are finite. The trace anomaly in four dimensions is obtained direc...
1994-04-29
2009-10-28
[ "hep-th" ]
A.O.Barvinsky, Yu.V.Gusev, G.A.Vilkovisky and V.V.Zhytnikov
hep-th/9404177
Extended BPH Renormalization of Cutoff Scalar Field Theories
We show that general cutoff scalar field theories in four dimensions are perturbatively renormalizable through the use of diagrammatic techniques and an adapted BPH renormalization method. Weinberg's convergence theorem is used to show that operators in the Lagrangian with dimension greater than four, which are divided...
1994-04-29
2009-10-28
[ "hep-th" ]
Gordon Chalmers
hep-th/9404181
Spontaneous Breaking of Parity in 2+1-Dimensional Thirring Model
A new aspect of the vacuum structure of 2+1-dimensional Thirring model is presented. Using the Fierz identity, we split the current-current four-Fermi interaction in terms of a matrix valued auxiliary scalar field and compute its effective potential. Energy consideration shows that contrary to earlier expectations, par...
1994-04-29
2007-05-23
[ "hep-th" ]
Y.M. Ahn, B.K.Chung, J.-M.Chung and Q-Han Park
hep-th/9404184
Mirror Symmetry as a Gauge Symmetry
It is shown that in string theory mirror duality is a gauge symmetry (a Weyl transformation) in the moduli space of $N=2$ backgrounds on group manifolds, and we conjecture on the possible generalization to other backgrounds, such as Calabi-Yau manifolds.
1994-04-29
2010-04-07
[ "hep-th" ]
Amit Giveon and Edward Witten
hep-th/9404185
The Classification of SU(3) Modular Invariants Revisited
The SU(3) modular invariant partition functions were first completely classified in Ref.\ \SU. The purpose of these notes is four-fold: \item{(i)} Here we accomplish the SU(3) classification using only the most basic facts: modular invariance; $M_{\la\mu}\in{\bf Z}_{\ge}$; and $M_{00}=1$. In \SU{} we made use of less e...
1994-04-29
2007-05-23
[ "hep-th" ]
Terry Gannon
hep-th/9404186
Supermanifolds, Rigid Manifolds and Mirror Symmetry
By providing a general correspondence between Landau-Ginzburg orbifolds and non-linear sigma models, we find that the elusive mirror of a rigid manifold is actually a supermanifold. We also discuss when sigma models with super-target spaces are conformally invariant and describe their chiral rings. Both supermanifolds ...
1994-04-29
2009-10-28
[ "hep-th" ]
S. Sethi
hep-th/9404179
Classical N=2 W-superalgebras From Superpseudodifferential Operators
We study the supersymmetric Gelfand-Dickey algebras associated with the superpseudodifferential operators of positive as well as negative leading order. We show that, upon the usual constraint, these algebras contain the N=2 super Virasoro algebra as a subalgebra as long as the leading order is odd. The decompositions ...
1994-04-29
2009-10-28
[ "hep-th" ]
Wen-Jui Huang, J.C. Shaw and H.C. Yen
hep-th/9404183
Gauge Field Improvement,Form-Scalar Duality and Conformal Invariance
The problem of maintaining scale and conformal invariance in Maxwell and general N-form gauge theories away from their critical dimension d=2(N+1) is analyzed.We first exhibit the underlying group-theoretical clash between locality,gauge,Lorentz and conformal invariance require- ments. "Improved" traceless stress tenso...
1994-04-29
2008-11-26
[ "hep-th", "gr-qc" ]
S.Deser and A.Schwimmer
hep-th/9404173
High energy QCD as a completely integrable model
We show that the one-dimensional lattice model proposed by Lipatov to describe the high energy scattering of hadrons in multicolor QCD is completely integrable. We identify this model as the XXX Heisenberg chain of noncompact spin $s=0$ and find the conservation laws of the model. A generalized Bethe ansatz is develope...
1994-04-28
2009-10-28
[ "hep-th", "hep-ph" ]
L.D.Faddeev and G.P.Korchemsky
hep-th/9404175
Counting Strings and Phase Transitions in 2D QCD
Several string theories related to QCD in two dimensions are studied. For each of these theories the large $N$ free energy on a (target) sphere of area $A$ is calculated. By considering theories with different subsets of the geometrical structures involved in the full QCD${}_2$ string theory, the different contribution...
1994-04-28
2008-02-03
[ "hep-th" ]
W. Taylor
hep-th/9404178
Implications of an Ambiguity in J.S. Bell's Analysis of the Einstein-Podolsky-Rosen Problem
An ambiguity is pointed out in J.S. Bell's argument that the distinction between quantum mechanics and hidden variable theories cannot be found in the behavior of single-particle beams. Within the context of theories for which states are unambiguously defined it is shown that the question of whether quantum mechanics o...
1994-04-28
2007-05-23
[ "hep-th", "gr-qc" ]
Daniel I. Fivel
hep-th/9404170
Canonical BRST Quantisation of Worldsheet Gravities
We reformulate the BRST quantisation of chiral Virasoro and $W_3$ worldsheet gravities. Our approach follows directly the classic BRST formulation of Yang-Mills theory in employing a derivative gauge condition instead of the conventional conformal gauge condition, supplemented by an introduction of momenta in order to ...
1994-04-28
2009-10-07
[ "hep-th" ]
R. Mohayaee, C.N. Pope, K.S. Stelle and K.W. Xu
hep-th/9404172
Black holes as quantum membranes: path integral approach
We describe the horizon of a quantum black hole in terms of a dynamical surface which defines the boundary of space-time as seen by external static observers, and we define a path integral in the presence of this dynamical boundary. Using renormalization group arguments, we find that the dynamics of the horizon is gove...
1994-04-28
2009-10-28
[ "hep-th", "gr-qc" ]
Michele Maggiore
hep-th/9404176
Classification of (2,2) Compactifications by Free Fermions 2
We present a classification of (2,2) free field compactifations with one twist in which only 95 distinct models (generations and antigenerations) are found. Models with three generations and no antigenerations are given.
1994-04-28
2010-11-01
[ "hep-th", "hep-ph" ]
S.A. Abel, C.M.A. Scheich
hep-th/9404171
Conformal Invariance and Renormalization Group in Quantum Gravity Near Two Dimensions
We study quantum gravity in $2+\epsilon$ dimensions in such a way to preserve the volume preserving diffeomorphism invariance. In such a formulation, we prove the following trinity: the general covariance, the conformal invariance and the renormalization group flow to Einstein theory at long distance. We emphasize that...
1994-04-28
2011-08-17
[ "hep-th" ]
T. Aida, Y. Kitazawa, H. Kawai and M. Ninomiya
hep-th/9404174
Multiple Ising Spins Coupled to 2d Quantum Gravity
We study a model in which p independent Ising spins are coupled to 2d quantum gravity (in the form of dynamical planar phi-cubed graphs). Consideration is given to the p tends to infinity limit in which the partition function becomes dominated by certain graphs; we identify most of these graphs. A truncated model is so...
1994-04-28
2009-10-28
[ "hep-th" ]
M.G. Harris and J.F. Wheater
hep-th/9404165
Braid Group Action and Quantum Affine Algebras
We lift the lattice of translations in the extended affine Weyl group to a braid group action on the quantum affine algebra. This action fixes the Heisenberg subalgebra pointwise. Loop like generators are found for the algebra which satisfy the relations of Drinfel$'$d's new realization. Coproduct formulas are given an...
1994-04-27
2009-10-28
[ "hep-th", "math.QA" ]
Jonathan Beck
hep-th/9404164
Induced Parity Violation in Odd Dimensions
One of the interesting features about field theories in odd dimensions is the induction of parity violating terms and well-defined {\em finite} topological actions via quantum loops if a fermion mass term is originally present and conversely. Aspects of this issue are illustrated for electrodynamics in 2+1 and 4+1 dime...
1994-04-27
2015-06-26
[ "hep-th" ]
R. Delbourgo and A. B. Waites
hep-th/9404166
Vacuum Values for Auxiliary String Fields
Auxiliary string fields are introduced in light-cone gauge string field theory in order to express contact interactions as contractions of cubic vertices. The auxiliary field in the purely closed-string bosonic theory may be given a non-zero expectation value, leading to a phase in which world-sheets have boundaries.
1994-04-27
2009-10-28
[ "hep-th" ]
Michael B. Green
hep-th/9404167
The Stochastic Quantization Method for Systems with Dissipation
The stochastic quantization of dissipative systems is discussed. It is shown that in order to stochastically quantize a system with dissipation, one has to restrict the Fourier transform of the space-time variable to the positive half domain in the complex plane. This breaks the time-reversal invariance, which manifest...
1994-04-27
2009-10-28
[ "hep-th" ]
Rodanthy Tzani
hep-th/9404169
Quantum Mechanics for Totally Constrained Dynamical Systems and Evolving Hilbert Spaces
We analyze the quantization of dynamical systems that do not involve any background notion of space and time. We give a set of conditions for the introduction of an intrinsic time in quantum mechanics. We show that these conditions are a generalization of the usual procedure of deparametrization of relational theories ...
1994-04-27
2011-08-19
[ "hep-th" ]
Ricardo Doldan, Pablo Mora and Rodolfo Gambini
hep-th/9404168
Weinstein -- Xu invariants and link group representations
Topological interpretation of the link invariants associated with the Weinstein--Xu classical solutions of the quantum Yang-Baxter equation are provided.
1994-04-27
2008-02-03
[ "hep-th", "math.QA" ]
A. A. Balinsky
hep-th/9404163
Detection of Particles Under Potential Barrier
We introduce a model detector which registers the passage of a particle through the detector location, without substantially perturbing the particle wave function. (The exact time of passage is not determined in such measurements.) We then show that our detector can operate in a classically forbidden region and registe...
1994-04-26
2009-09-25
[ "hep-th" ]
Alexander Vilenkin and Serge Winitzki
hep-th/9404159
QCD(1+1) with massless quarks and gauge covariant Sugawara construction
We use the Hamiltonian framework to study massless QCD$_{1+1}$, i.e.\ Yang-Mills gauge theories with massless Dirac fermions on a cylinder (= (1+1) dimensional spacetime $S^1\times \R$) and make explicite the full, non-perturbative structure of these quantum field theory models. We consider $N_F$ fermion flavors and ga...
1994-04-26
2009-10-28
[ "hep-th" ]
E. Langmann and G.W. Semenoff
hep-th/9404160
3nj-symbols and D-dimensional quantum gravity
The model which generalizes Ponzano and Regge $3D$ and Carfora-Martellini-Marzuoli $4D$ euclidean quantum gravity is considered. The euclidean Einstein-Regge action for a $D$-simplex is given in the semiclassical limit by a gaussian integral of a suitable $3nj$-symbol.
1994-04-26
2007-05-23
[ "hep-th" ]
Paul Demkin
hep-th/9404161
Uniform Asymptotic Solutions of a System of two Schr\"odinger Equations with Potential-Curve-Crossing Point
A formal uniform asymptotic solution of the system of differential equations $ h^{2}\frac{d^{2}U_{1}}{dz^{2}}+\Phi_{1} U_{1}=\alpha U_{2} $ , $ h^{2}\frac{d^{2}U_{2}}{dz^{2}}+\Phi_{2} U_{2}=\alpha U_{1}$ , for $ z\in D$ and for h real, large is obtained, when D contains curve-crossing point. Asymptotic approximations f...
1994-04-26
2009-10-28
[ "hep-th" ]
Irina Jakushina
hep-th/9404162
Covariant Quantization of the Green-Schwarz Superstring in a Calabi-Yau Background
After adding a scalar chiral boson to the usual superspace variables, the four-dimensional Green-Schwarz superstring is quantized in a manifestly SO(3,1) super-Poincar\'e covariant manner. The constraints are all first-class and form an N=2 superconformal algebra with $c=-3$. Since the Calabi-Yau degrees of freedom are...
1994-04-26
2010-04-06
[ "hep-th" ]
Nathan Berkovits
hep-th/9404154
The Unstable System in Relativistic Quantum Mechanics
A soluble model for the relativistically description of an unstable system is given in terms of relativistic quantum field theory, with a structure similar to Van Hove's generalization of the Lee model in the non-relativistic theory.
1994-04-25
2009-10-28
[ "hep-th" ]
L.P. Horwitz
hep-th/9404155
Infrared and Ultraviolet Behaviour of Effective Scalar Field Theory
We consider the infrared and ultraviolet behaviour of the effective quantum field theory of a single $Z_2$ symmetric scalar field. In a previous paper we proved to all orders in perturbation theory the renormalizability of massive effective scalar field theory using Wilson's exact renormalization group equation. Here w...
1994-04-25
2015-06-26
[ "hep-th", "hep-ph" ]
R. D. Ball and R. S. Thorne
hep-th/9404157
Strings, Black Holes and Conformal Field Theory
The SL(2,R)/U(1) gauged Wess-Zumino-Witten model is an exact conformal field theory describing a black hole in two-dimensional space-time. The free field approach of Bershadsky and Kutasov is a suitable formulation of this CFT in order to compute physically interesting quantities of this black hole. We find the space-t...
1994-04-25
2016-09-06
[ "hep-th" ]
Katrin Becker
hep-th/9404153
Supergravity before and after 1976
This paper is part of the lecture given at the TH Division of CERN and devoted to the CXXV anniversary of the birthday of Elie Cartan (1869-1951). It is shown how the methods of differential geometry, due to E. Cartan, were applied to the construction of the supersymmetry transformation law and to the actions for Golds...
1994-04-25
2007-05-23
[ "hep-th" ]
D.V. Volkov
hep-th/9404158
Regge Asymptotics of Scattering with Flavour Exchange in QCD
The contribution to the perturbative Regge asymptotics of the exchange of two reggeized fermions with opposite helicity is investigated. The methods of conformal symmetry known for the case of gluon exchange are extended to this case where double-logarithmic contributions dominate the asymptotics. The Regge trajectorie...
1994-04-25
2009-10-28
[ "hep-th" ]
R. Kirschner
hep-th/9404156
The Decoupling Theorem in Effective Scalar Field Theory
We consider decoupling in the context of an effective quantum field theory of two scalar fields with well separated mass scales and a $Z_2\times Z_2$ symmetry. We first prove, using Wilson's exact renormalization group equation, that the theory is renormalizable, in the same way that we showed in a previous paper that ...
1994-04-25
2010-11-01
[ "hep-th", "hep-ph" ]
R. D. Ball and R. S. Thorne
hep-th/9404152
Thermodynamics of Non-Relativistic Scattering Theory
We use thermodynamic Bethe ansatz to study nonrelativistic scattering theory of low energy excitations of 1D Hubbard model, using the $S$-matrices proposed by E\ss ler and Korepin. This model can be described by two types of excitation states, holons and spinons, as asymptotic states. In the attractive regime, the spin...
1994-04-25
2010-02-05
[ "hep-th", "cond-mat" ]
Changrim Ahn, Kong-Ju-Bock Lee, and Soonkeon Nam
hep-th/9404150
Renormalisation Group Flows and Conserved Vector Currents
Irreversibility of RG flows in two dimensions is shown using conserved vector currents. Out of a conserved vector current, a quantity decreasing along the RG flow is built up such that it is stationary at fixed points where it coincides with the constant coefficient of the two current correlation function. For Wess-Zum...
1994-04-24
2009-10-28
[ "hep-th" ]
Xavier Vilasis-Cardona
hep-th/9404149
Folds in 2D String Theories
We study maps from a 2D world-sheet to a 2D target space which include folds. The geometry of folds is discussed and a metric on the space of folded maps is written down. We show that the latter is not invariant under area preserving diffeomorphisms of the target space. The contribution to the partition function of map...
1994-04-24
2019-08-15
[ "hep-th" ]
O. Ganor, J. Sonnenschein and S. Yankielowicz
hep-th/9404151
String Theory on K3 Surfaces
The moduli space of N=(4,4) string theories with a K3 target space is determined, establishing in particular that the discrete symmetry group is the full integral orthogonal group of an even unimodular lattice of signature (4,20). The method combines an analysis of the classical theory of K3 moduli spaces with mirror s...
1994-04-24
2008-02-03
[ "hep-th", "alg-geom", "math.AG" ]
P.S. Aspinwall and D.R. Morrison
hep-th/9404148
The Zero Tension Limit of The Virasoro Algebra and the Central Extension
We argue that the Virasoro algebra for the closed bosonic string can be cast in a form which is suitable for the limit of vanishing string tension. In this form the limit of the Virasoro algebra gives the null string algebra. The anomalous central extension is seen to vanish as well when $T\to 0$.
1994-04-23
2015-06-26
[ "hep-th" ]
F. Lizzi (Napoli)
hep-th/9404144
Comment on ``the Klein-Gordon Oscillator''
The different ways of description of the $S=0$ particle with oscillator-like interaction are considered. The results are in conformity with the previous paper of S. Bruce and P. Minning.
1994-04-23
2015-06-26
[ "hep-th" ]
Valeri V. Dvoeglazov
hep-th/9404147
Exponential behavior of a quantum system in a macroscopic medium
An exponential behavior at all times is derived for a solvable dynamical model in the weak-coupling, macroscopic limit. Some implications for the quantum measurement problem are discussed, in particular in connection with dissipation.
1994-04-23
2009-10-28
[ "hep-th" ]
Hiromichi Nakazato, Mikio Namiki, Saverio Pascazio
hep-th/9404146
Phase Space Structure of Non-Abelian Chern-Simons Particles
We investigate the classical phase space structure of $N$ $SU(n+1)$ non-Abelian Chern-Simons (NACS) particles by first constructing the product space of associated $SU(n+1)$ bundle with ${\bf CP}^n$ as the fiber. We calculate the Poisson bracket using the symplectic structure on the associated bundle and find that the ...
1994-04-23
2009-10-28
[ "hep-th" ]
Myung-Ho Kim and Phillial Oh
hep-th/9404145
The Dirac-Dowker Oscillator
The oscillator-like interaction is introduced in the equation for the particle of arbitrary spin, given by Dirac and re-written to a matrix form by Dowker.
1994-04-23
2011-07-19
[ "hep-th" ]
Valeri V. Dvoeglazov
hep-th/9404143
Non Trivial Saddle Points and Band Structure of Bound States of the Two Dimensional O(N) Vector Model
We discuss O(N) invariant scalar field theories in 0+1 and 1+1 space-time dimensions. Combining ordinary ``Large N" saddle point techniques and simple properties of the diagonal resolvent of one dimensional Schr\"odinger operators we find {\it exact} non-trivial (space dependent) solutions to the saddle point equations...
1994-04-22
2009-10-28
[ "hep-th", "cond-mat", "hep-ph" ]
Joshua Feinberg
hep-th/9404141
Exact Bethe Ansatz solution for $A_{n-1}$ chains with non-$SU_{q}(n)$ invariant open boundary conditions
The Nested Bethe Ansatz is generalized to open and independent boundary conditions depending on two continuous and two discrete free parameters. This is used to find the exact eigenvectors and eigenvalues of the $A_{n-1}$ vertex models and $SU(n)$ spin chains with such boundary conditions. The solution is found for all...
1994-04-22
2009-10-28
[ "hep-th" ]
H. J. de Vega and A. Gonz\'alez--Ruiz
hep-th/9404140
Extrinsic Curvature Dependence of Nielsen-Olesen Strings
It is shown how to treat the degrees of freedom of Nielsen-Olesen vortices in the $3+1$-dimensional $U(1)$ higgs model by a collective coordinate method. In the london limit, where the higgs mass becomes infinite, the gauge and goldstone degrees of freedom are integrated out, resulting in the vortex world-sheet action....
1994-04-22
2009-10-28
[ "hep-th" ]
Peter Orland
hep-th/9404136
QCD on a Tree
A model is proposed which can be regarded as a mean field approximation for pure lattice QCD and chiral field. It always possesses a phase transition between a strong coupling phase (where it reduces to a one-plaquette integral) and a non-trivial weak coupling one. For the U(N) gauge group, it is equivalent to some mul...
1994-04-22
2015-06-26
[ "hep-th" ]
D.V.Boulatov
hep-th/9404137
The Advantage of a Multi-User Mode
The purpose of this very short note, which maybe considered as a comment on "hep-th/9401067", is to prove the following proposition. PROPOSITION. There exist certain models of Mobilevision, in which interpretational figures are observable only in a multi--user mode in contrast to single--user ones. This result maybe in...
1994-04-22
2008-02-03
[ "hep-th", "adap-org", "nlin.AO" ]
Denis Juriev (Mathematical Division, Research Institute for System Studies [Information Technologies], Russian Academy of Sciences, Moscow, Russia)
hep-th/9404139
Models on Event Symmetric Space-Time
In the event symmetric approach to quantum gravity it is assumed that the fundamental laws of physics must be invariant under exchange of any two space-time events. The fact that this symmetry if obviously not observed is attributed to the possibility of a spontaneous symmetry breaking mechanism in which the residual s...
1994-04-22
2007-05-23
[ "hep-th" ]
P. E. Gibbs
hep-th/9404142
A three parameter invariant of oriented links
This paper defines a new sequence of finite dimensional algebras as quotients of the group algebras of the braid groups. This sequence depends on three homogeneous parameters and has a one-parameter family of Markov traces, and so gives a three parameter invariant of oriented links.
1994-04-22
2008-02-03
[ "hep-th", "math.QA" ]
Bruce W. Westbury
hep-th/9404138
Connection between Space-Time Supersymmetry and Non-Commutative Geometry
We show that $N=2$ and $N=4$ extended supersymmetric Yang-Mills theories in four space-time dimensions could be derived as action functionals for non-commutative spaces. The coupling of $N=1$ and $N=2$ super Yang-Mills to $N=1$ and $N=2$ matter could be derived as action functionals of non-commutative spaces only for a...
1994-04-22
2009-10-28
[ "hep-th" ]
A. H. Chamseddine
hep-th/9404135
Black hole entropy and the semiclassical approximation
We compute the entropy of the Hawking radiation for an evaporating black hole, in 1+1 dimensions and in 3+1 dimensions. We investigate the validity of the semiclassical approximation for the evaporation process. It appears that there might be a large entropy of entanglement between the classical degrees of freedom desc...
1994-04-21
2008-02-03
[ "hep-th" ]
Samir D. Mathur
hep-th/9404128
Dispersion Relations in String Theory
We analyze the analytic continuation of the formally divergent one-loop amplitude for scattering of the graviton multiplet in the Type II Superstring. In particular we obtain explicit double and single dispersion relations, formulas for all the successive branch cuts extending out to plus infinity, as well as for the d...
1994-04-21
2011-04-20
[ "hep-th" ]
Eric D'Hoker and D.H. Phong
hep-th/9404129
Wigner distribution function and entropy of the damped harmonic oscillator within the theory of open quantum systems
The harmonic oscillator with dissipation is studied within the framework of the Lindblad theory for open quantum systems. By using the Wang-Uhlenbeck method, the Fokker-Planck equation, obtained from the master equation for the density operator, is solved for the Wigner distribution function, subject to either the Gaus...
1994-04-21
2007-05-23
[ "hep-th" ]
Aurelian Isar
hep-th/9404131
On N=1 Superconformal Algebra in the Non-Critical Bosonic String Theory
In a recent work it has been shown that the bosonic strings could be embedded into a special class of $N=1$ fermionic strings. We argue that the superpartners of any physical state in the spectrum of this fermionic string is non-physical. So, there is no supersymmetry in the space of physical states and the embedding i...
1994-04-21
2009-10-28
[ "hep-th" ]
Pablo M. Llatas and Shibaji Roy
hep-th/9404134
Composite leptons and quarks constructed as triply occupied quasiparticles in quaternionic quanutm mechanics
\noindent We propose a set of rules for constructing composite leptons and quarks as triply occupied quasiparticles, in the quaternionic quantum mechanics of a pair of Harari-Shupe preons $T$ and $V$. The composites fall into two classes, those with totally antisymmetric internal wave functions, and those with internal...
1994-04-21
2009-10-28
[ "hep-th", "hep-ph" ]
S.L. Adler
hep-th/9404133
Exact self dual vortices in $d=3$ Majumdar-Papapetrou dilaton gravity
We show that self-dual Nielsen Olesen (NO) vortices in $3$ dimensions give rise to a class of exact solutions when coupled to Einstein Maxwell Dilaton gravity obeying the Majumdar-Papapetrou(MP) relation between gravitational and Maxwell couplings , provided certain Chern-Simons type interactions are present. The metri...
1994-04-21
2007-05-23
[ "hep-th" ]
C.S.Aulakh
hep-th/9404132
Wess-Zumino-Novikov-Witten Models Based on Lie Superalgebras
The affine current algebra for Lie superalgebras is examined. The bilinear invariant forms of the Lie superalgebra can be either degenerate or non-degenerate. We give the conditions for a Virasoro construction, in which the currents are primary fields of weight one, to exist. In certain cases, the Virasoro central char...
1994-04-21
2009-10-28
[ "hep-th" ]
Noureddine Mohammedi
hep-th/9404130
Comment on "Equivalence of Several Chern-Simons Matter Models
It is shown that a recent claim of equivalence between three Chern-Simons theories is not tenable.
1994-04-21
2007-05-23
[ "hep-th" ]
C.R. Hagen
hep-th/9404119
Generalized Schroedinger representation in BRST-quantization
An analysis of the state space in the BRST--quantization in the Schroedinger representation is performed on the basis of the results obtained earlier in the framework of the Fock space representation. It is shown that to get satisfactory results it is necessary to have from the very beginning a meaningful definition of...
1994-04-20
2009-10-28
[ "hep-th" ]
Kh. S. Nirov and A. V. Razumov
hep-th/9404118
Boundary S-matrix for the Integrable q-Potts Model
The 2D off-critical q-state Potts model with boundaries was studied as a factorizable relativistic scattering theory. The scattering S-matrices for particles reflecting off the boundaries were obtained for the cases of ``fixed'' and ``free'' boundary conditions. In the Ising limit, the computed results agreed with rece...
1994-04-20
2014-11-18
[ "hep-th" ]
Leung Chim
hep-th/9404124
First order Regge calculus
A first order form of Regge calculus is defined in the spirit of Palatini's action for general relativity. The extra independent variables are the interior dihedral angles of a simplex, with conjugate variables the areas of the triangles. There is a discussion of the extent to which these areas can be used to parameter...
1994-04-20
2010-04-06
[ "hep-th", "gr-qc", "math.QA" ]
John W. Barrett
hep-th/9404126
String theory and classical integrable systems
We discuss different formulations and approaches to string theory and $ 2d$ quantum gravity. The generic idea to get a unique description of {\it many} different string vacua altogether is demonstrated on the examples in $ 2d$ conformal, topological and matrix formulations. The last one naturally brings us to the appea...
1994-04-20
2009-10-28
[ "hep-th" ]
A.Marshakov
hep-th/9404121
Optics, Mechanics and Quantization of Reparametrization Systems
In this paper we regard the dynamics obtained from Fermat principle as begin the classical theory of light. We (first-)quantize the action and show how close we can get to the Maxwell theory. We show that Quantum Geometric Optics is not a theory of fields in curved space. Considering Classical Mechanics to be on the sa...
1994-04-20
2009-10-28
[ "hep-th" ]
M. Navarro, J. Guerrero and V. Aldaya
hep-th/9404127
The Quantum Mechanics of a "Spinor-twin" Type II Superparticle
Ten dimensional supersymmetric Yang-Mills theory may be described, in the light-cone gauge, in terms of either a vector or spinor superfield satisfying certain projection conditions (type I or II). These have been presented in a $ SO(9,1) $ form, and used to construct spinning superparticle theories in extended spaces....
1994-04-20
2007-05-23
[ "hep-th" ]
J.L. Vazquez-Bello