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hep-th/9308053
Spontaneous Polarization of the $\Bbb Z _{n}$-Baxter Model
We show that correlation functions of the $\bz _n $-Baxter model in the principal regime satisfy a system of difference equations. We obtain the spontaneous polarization of the $\bz _n $-Baxter model as a solution of the simplest difference equation.
1993-08-11
2015-06-26
[ "hep-th" ]
Yas-Hiro Quano
hep-th/9308052
Symmetries and symmetry-breaking in string theory
This is a summary of a talk based on hep-th/9305139 and presented at the SUSY-93 International Workshop. We study infinite dimensional unbroken gauge symmetries which arise when time is toroidally compactified in string theory.
1993-08-11
2007-05-23
[ "hep-th" ]
Gregory Moore
hep-th/9308055
Instantons in topological field theories
On an oriented, compact, connected, real four-dimensional manifold, $M$, we introduce a topological Lagrangian gauge field theory with a Bogomol'nyi structure that leads to non-singular, finite-Action, stable solutions to the variational field equations. These soliton-like solutions are analogous to the instanton in Ya...
1993-08-11
2008-02-03
[ "hep-th" ]
M. Temple-Raston
hep-th/9308054
Monopole Vector Spherical Harmonics
Eigenfunctions of total angular momentum for a charged vector field interacting with a magnetic monopole are constructed and their properties studied. In general, these eigenfunctions can be obtained by applying vector operators to the monopole spherical harmonics in a manner similar to that often used for the construc...
1993-08-11
2009-10-22
[ "hep-th" ]
Erick J. Weinberg
hep-th/9308050
Scattering of Discrete States in Two Dimensional Open String Field Theory
This is the second in a series of papers devoted to open string field theory in two dimensions. In this paper we aim to clarify the origin and the role of discrete physical states in the theory. To this end, we study interactions of discrete states and generic tachyons. In particular, we discuss at length four point am...
1993-08-10
2009-10-22
[ "hep-th" ]
Branko Uro\v{s}evi\'c
hep-th/9308049
Quantum affine transformation group and covariant differential calculus
We discuss quantum deformation of the affine transformation group and its Lie algebra. It is shown that the quantum algebra has a non-cocommutative Hopf algebra structure, simple realizations and quantum tensor operators. The deformation of the group is achieved by using the adjoint representation. The elements of quan...
1993-08-10
2017-02-01
[ "hep-th" ]
N. Aizawa and H.-T. Sato
hep-th/9308046
Constraints and Hamiltonian in Light-Front Quantized Field Theory
Self-consistent Hamiltonian formulation of scalar theory on the null plane is constructed following Dirac method. The theory contains also {\it constraint equations}. They would give, if solved, to a nonlinear and nonlocal Hamiltonian. The constraints lead us in the continuum to a different description of spontaneous s...
1993-08-10
2010-11-01
[ "hep-th" ]
Prem P. Srivastava
hep-th/9308047
Differential Calculi on h-deformed Bosonic and Fermionic Quantum Planes
We study differential calculus on h-deformed bosonic and fermionic quantum space. It is shown that the fermionic quantum space involves a parafermionic variable as well as a classical fermionic one. Further we construct the classical $su(2)$ algebra on the fermionic quantum space and discuss a mapping between the class...
1993-08-10
2010-11-01
[ "hep-th" ]
Tatsuo Kobayashi
hep-th/9308051
Loop Equations for the d-dimensional One-Hermitian Matrix model
We derive the loop equations for the one Hermitian matrix model in any dimension. These are a consequence of the Schwinger-Dyson equations of the model. Moreover we show that in leading order of large $N$ the loop equations form a closed set.
1993-08-10
2009-10-22
[ "hep-th" ]
J. Alfaro
hep-th/9308048
The Vacuum Energy Density for Spherical and Cylindrical Universes
The vacuum energy density (Casimir energy) corresponding to a massless scalar quantum field living in different universes (mainly no-boundary ones), in several dimensions, is calculated. Hawking's zeta function regularization procedure supplemented with a very simple binomial expansion is shown to be a rigorous and wel...
1993-08-10
2011-08-17
[ "hep-th" ]
E. Elizalde
hep-th/9308041
On a New Method for Computing Trace Anomalies
I describe a new method for computing trace anomalies in quantum field theories which makes use of path-integrals for particles moving in curved spaces. After presenting the main ideas of the method, I discuss how it is connected to the first quantized approach of particle theory and to heat kernel techniques. (Talk gi...
1993-08-09
2010-11-01
[ "hep-th" ]
Fiorenzo Bastianelli
hep-th/9308039
The Zamolodchikov C-Function, Classical Closed String Field Theory, The Duistermaat-Heckman Theorem, The Renormalization Group, and all that
In this article we formulate a `topological' field theory by employing a generalization of the Duistermaat-Heckman Theorem to localize the path-integral of the `topological action' C^2 , where C is a slight modification of the Zamolodchikov C-Function, over the space of all two-dimensional field theories to the fixed p...
1993-08-09
2008-02-03
[ "hep-th" ]
Kelly Jay Davis
hep-th/9308044
Complementarity in Wormhole Chromodynamics
The electric charge of a wormhole mouth and the magnetic flux ``linked'' by the wormhole are non-commuting observables, and so cannot be simultaneously diagonalized. We use this observation to resolve some puzzles in wormhole electrodynamics and chromodynamics. Specifically, we analyze the color electric field that res...
1993-08-09
2009-10-22
[ "hep-th", "gr-qc" ]
Hoi-Kwong Lo, Kai-Ming Lee, and John Preskill
hep-th/9308040
Spectrum of an Elliptic Free Fermionic Corner Transfer Matrix Hamiltonian
The eigenvalues of the Corner Transfer Matrix Hamiltonian associated to the elliptic $R$ matrix of the eight vertex free fermion model are computed in the anisotropic case for magnetic field smaller than the critical value. An argument based on generating functions is given, and the results are checked numerically. The...
1993-08-09
2008-02-03
[ "hep-th", "cond-mat", "nlin.SI", "solv-int" ]
Rodolfo Cuerno
hep-th/9308043
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 th...
1993-08-09
2009-10-22
[ "hep-th" ]
Bergfinnur Durhuus and Thordur Jonsson
hep-th/9308045
Spontaneously Broken Lorentz Invariance in Three-Dimensional Gauge Theories
In a wide class of three-dimensional Abelian gauge theories with a bare Chern-Simons term, the Lorentz invariance is spontaneously broken by dynamical generation of a non-vanishing magnetic field. A detailed computation of an energy density of the true vacuum is given. The originally massive photon becomes massless, fu...
1993-08-09
2009-10-22
[ "hep-th", "cond-mat" ]
Yutaka Hosotani
hep-th/9308042
On field redefinitions and exact solutions in string theory
String backgrounds associated with gauged $G/H$ WZNW models in general depend non-trivially on $\alpha'$. We note, however, that there exists a local covariant $\a'$-dependent field redefinition that relates the exact metric-dilaton background corresponding to the $SL(2,R)/U(1)$ model to its leading-order form ($D=2$ b...
1993-08-09
2009-09-17
[ "hep-th" ]
A.A.Tseytlin
hep-th/9308035
Resumming the Effective Action
At the simple example of a massless scalar field propagating in the static background we study the resummed expressions for the effective action at zero and finite temperature that are free from a usual sickness of the effective action induced by massless particles.
1993-08-08
2008-02-03
[ "hep-th" ]
A. Leonidov, A. Zelnikov
hep-th/9308038
On $\widehat{sl}(3)$ reduction, quantum gauge transformations, and ${\cal W}-$ algebras singular vectors
The problem of describing the singular vectors of $\cW_3$ and $\cW_3^{(2)}$ Verma modules is addressed, viewing these algebras as BRST quantized Drinfeld-Sokolov (DS) reductions of $A^{(1)}_2\,$. Singular vectors of an $A^{(1)}_2\,$ Verma module are mapped into $\W$ algebra singular vectors and are shown to differ from...
1993-08-08
2009-10-22
[ "hep-th", "math.QA" ]
P. Furlan, Alexander Ganchev and V. B. Petkova
hep-th/9308037
Virasoro Singular Vectors via Quantum DS Reduction
The BRST quantisation of the Drinfeld - Sokolov reduction is exploited to recover all singular vectors of the Virasoro algebra Verma modules from the corresponding $A^{(1)}_1\,$ ones. The two types of singular vectors are shown to be identical modulo terms trivial in the $Q_{BRST}$ cohomology. The main tool is a quantu...
1993-08-08
2009-10-22
[ "hep-th" ]
A.Ch. Ganchev and V.B. Petkova
hep-th/9308036
The Exact $S$-matrix of the Deformed $c=1$ Matrix Model
We consider the $c=1$ matrix model deformed by the operator ${1\over 2} M\Tr\Phi^{-2}$, which was conjectured by Jevicki and Yoneya to describe a two-dimensional black hole of mass $M$. We calculate the exact non-perturbative $S$-matrix and show that all the amplitudes involving an odd number of particles vanish at lea...
1993-08-08
2019-08-17
[ "hep-th" ]
K. Demeterfi, I. Klebanov and J. Rodrigues
hep-th/9308034
Liouville Black Holes
The dynamics of Liouville fields coupled to gravity are investigated by applying the principle of general covariance to the Liouville action in the context of a particular form of two-dimensional dilaton gravity. The resultant field equations form a closed system for the Liouville/gravity interaction. A large class of ...
1993-08-07
2009-10-22
[ "hep-th", "gr-qc" ]
R.B. Mann
hep-th/9308032
Photon statistics of multimode even and odd coherent light
The even and odd coherent states are generalized for multimode case. The explicit forms for the photon distribution, Q-function and Wigner function are derived. In particular, it is shown that for two-mode case there exist strong correlations between these modes, under certain conditions, which are responsible for two-...
1993-08-07
2009-10-22
[ "hep-th" ]
Nadeem A. Ansari and V.I. Man'ko
hep-th/9308031
The effective potential for the conformal factor in the standard model and beyond
There is a general mechanism by which certain matter fields coupled to gravity can generate a nontrivial effective potential for the conformal factor of the metric. It is based on a nonstandard regularization method, with the cutoff being defined independently of the conformal factor. This mechanism produces a coupling...
1993-08-07
2007-05-23
[ "hep-th" ]
R. Percacci
hep-th/9308033
Multidimensional Hermite polynomials and photon distribution for polymode mixed light
For N-mode light described by the Wigner function of generic Gaussian form the photon distribution function is obtained explicitly and expressed in terms of Hermite polynomial of $2N$ variables with equal pairs of indices.The mean values and dispersions of photon numbers are obtained for this generic mixed state.Genera...
1993-08-07
2009-10-22
[ "hep-th" ]
V. V. Dodonov, O. V. Man'ko and V. I. Man'ko
hep-th/9308027
On the emergence of gauge structures and generalized spin when quantizing on a coset space
It has been known for some time that there are many inequivalent quantizations possible when the configuration space of a system is a coset space G/H. Viewing this classical system as a constrained system on the group G, we show that these inequivalent quantizations can be recovered from a generalization of Dirac's app...
1993-08-06
2015-06-26
[ "hep-th" ]
David McMullan and Izumi Tsutsui
hep-th/9308030
Proper Field Quantization in Black Hole Spacetimes
Canonical quantization of local field theories is classical black hole spacetimes with a single horizon leads to a particle number density with a thermal distribution in equilibrium at the Hawking temperature. A complete treatment including non-local quantum gravity effects has shown however that the full "thermal vacu...
1993-08-06
2010-11-01
[ "hep-th" ]
B. Harms and Y. Leblanc
hep-th/9308029
Squeezed States for General Systems
We propose a ladder-operator method for obtaining the squeezed states of general symmetry systems. It is a generalization of the annihilation-operator technique for obtaining the coherent states of symmetry systems. We connect this method with the minimum-uncertainty method for obtaining the squeezed and coherent state...
1993-08-06
2009-10-22
[ "hep-th" ]
Michael Martin Nieto and D. Rodney Truax
hep-th/9308024
The Improved Bounce Solution of SU(2)-Higgs Model
We further develop the reduced action formalism of the SU(2)-Higgs model originally given by Aoyama et.al.. Our new ansatz for the sphaleron solution makes it possible to apply this formalism to all range of the Higgs self coupling constant. Based on the formalism, we construct a bounce solution oscillating around the ...
1993-08-06
2017-02-01
[ "hep-th" ]
Yuji Kobayashi
hep-th/9308025
Simple considerations on the behaviour of bosonic modes with quantum group symmetry
While it is possible to introduce quantum group symmetry into the framework of quantum mechanics, the general problem of how to implement quantum group symmetry into $(3+1)$ dimensional quantum field theory has not yet been solved. Here we try to estimate some features of the behaviour of bosonic modes.
1993-08-06
2007-05-23
[ "hep-th", "cond-mat" ]
A. Kempf
hep-th/9308028
Zeta-Function Regularization is Uniquely Defined and Well
Hawking's zeta function regularization procedure is shown to be rigorously and uniquely defined, thus putting and end to the spreading lore about different difficulties associated with it. Basic misconceptions, misunderstandings and errors which keep appearing in important scientific journals when dealing with this bea...
1993-08-06
2009-10-22
[ "hep-th" ]
E. Elizalde
hep-th/9308026
Dynamical Aspects of Lie--Poisson Structures
Quantum Groups can be constructed by applying the quantization by deformation procedure to Lie groups endowed with a suitable Poisson bracket. Here we try to develop an understanding of these structures by investigating dynamical systems which are associated with this bracket. We look at $SU(2)$ and $SU(1,1)$, as subma...
1993-08-06
2009-10-22
[ "hep-th", "math.DS", "math.QA" ]
F. Lizzi, G. Marmo, G. Sparano and P. Vitale (Napoli)
hep-th/9308019
Effective Potential for the Conformal Sector of Quantum Gravity with Torsion
The effective potential which describes the conformal dynamics of quantum gravity with torsion is discussed. The phase transitions induced by the combination of torsion and curvature are investigated. The mechanism for fixing the vacuum expectation values of the metric and torsion is presented.
1993-08-05
2009-09-17
[ "hep-th" ]
E. Elizalde and S.D. Odintsov
hep-th/9308020
Covariant Effective Action and One-Loop Renormalization of 2D Dilaton Gravity with Fermionic Matter
Two dimensional dilaton gravity interacting with a four-fermion model and scalars is investigated, all the coefficients of the Lagrangian being arbitrary functions of the dilaton field. The one-loop covariant effective action for 2D dilaton gravity with Majorana spinors (including the four-fermion interaction) is obtai...
1993-08-05
2009-09-17
[ "hep-th" ]
E. Elizalde, S. Naftulin and S.D. Odintsov
hep-th/9308021
Extended de Sitter Theory of Two Dimensional Gravitational Forces
We present a simple unifying gauge theoretical formulation of gravitational theories in two dimensional spacetime. This formulation includes the effects of a novel matter-gravity coupling which leads to an extended de Sitter symmetry algebra on which the gauge theory is based. Contractions of this theory encompass prev...
1993-08-05
2009-10-22
[ "hep-th", "gr-qc" ]
Daniel Cangemi (MIT) and Gerald Dunne (UConn)
hep-th/9308016
Extended Nonabelian Symmetries for Free Fermionic Model
The higher spin symmetry for both Dirac and Majorana massless free fermionic field models are considered. An infinite Lie algebra which is a linear realization of the higher spin extension of the cross products of the Virasoro and affine Kac-Moody algebras is obtained. The corresponding current algebra is closed which ...
1993-08-05
2007-05-23
[ "hep-th" ]
Raiko P. Zaikov
hep-th/9308018
Chiral gauged WZNW models and heterotic string backgrounds
We construct new heterotic string backgrounds which are analogous to superstring solutions corresponding to coset models but are not simply the `embeddings'of the latter. They are described by the (1,0) supersymmetric extension of the $G/H$ chiral gauged WZNW models. The `chiral gauged' WZNW action differs from the sta...
1993-08-05
2009-09-17
[ "hep-th" ]
K.Sfetsos and A.A.Tseytlin
hep-th/9308014
Comment On Vortices In Chern-Simons And Maxwell Electrodynamics
We compare the vortex-like solutions of two different theories in (2+1) dimensions. In the first a nonrelativistic field self-interacts through a Chern-Simons gauge connection. It is $P$ and $T$ violating. The second is the standard Maxwell scalar electrodynamics. We show that for specific values of some parameters the...
1993-08-05
2009-10-22
[ "hep-th", "cond-mat" ]
Pietro Donatis and Roberto Iengo
hep-th/9308015
SU(N) Yang-Mills on a circle, loop variables, Mandelstam identities and quantization ambiguities
We consider $SU(N)$ Yang-Mills on a circle (cylindrical space-time) and quantize the eigenvalues of the holonomy. In this way the Mandelstam identities associated with the holonomy are trivially solved. Furthermore we indicate that there are exactly two physically inequivalent representations of the algebra of gauge-in...
1993-08-05
2007-05-23
[ "hep-th" ]
J. Hallin
hep-th/9308017
Gauging of Chern-Simons $p$-branes
The Chern-Simons membranes and in general the Chern-Simons p-branes moving in $D$-dimensional target space admit an infinite set of secondary constraints. With respect to the Poisson bracket these constraints form a closed algebra which contains classical \ $W_{1+\infty }$ \ algebra in $p$-dimensions as a subalgebra. C...
1993-08-05
2015-06-26
[ "hep-th" ]
Raiko P. Zaikov
hep-th/9308023
String-Dominated Cosmology
If string theory controls physics at the string scale, the dynamics of the early universe before the GUT era will be governed by the low-energy string equations of motion. Studying these equations for FRW spacetimes, we find that depending on the initial conditions when the stringy era starts, and on the time when it e...
1993-08-05
2008-12-18
[ "hep-th", "gr-qc" ]
Dalia S. Goldwirth and Malcolm J. Perry
hep-th/9308011
Two-Dimensional Black Hole and Nonperturbative String Theory
We discuss the interpertation of the $c=1$ matrix model as two-dimensional string theory in a dilaton-black hole background. The nonperturbative formulation of $c=1$ matrix model in terms of an integrable model of nonrelativistic fermions enables us to study the quantum fate of the classical black hole singularity. We ...
1993-08-04
2016-11-03
[ "hep-th" ]
Avinash Dhar
hep-th/9308012
Gaugeon Formalism with BRST Symmetry
We provide a BRST symmetric version of Yokoyama's Type I gaugeon formalism for quantum electrodynamics; the similar theory by Izawa can be considered as a BRST symmetrized Type II theory. With the help of the BRST symmetry, Yokoyama's physical subsidiary conditions are replaced by the Kugo-Ojima type condition. As a re...
1993-08-04
2011-04-15
[ "hep-th" ]
M. Koseki, M. Sato and R. Endo
hep-th/9308010
Quantum Deformation of the Affine Transformation Algebra
We discuss quantum deformation of the affine transformation algebra. It is shown that the quantum algebra has a non-cocommutative Hopf algebra structure, simple realizations and quantum tensor operators.
1993-08-04
2016-09-06
[ "hep-th", "math.QA" ]
N. Aizawa and H.-T. Sato
hep-th/9308013
Higher Spin BRS Cohomology of Supersymmetric Chiral Matter in D=4
We examine the BRS cohomology of chiral matter in $N=1$, $D=4$ supersymmetry to determine a general form of composite superfield operators which can suffer from supersymmetry anomalies. Composite superfield operators $\Y_{(a,b)}$ are products of the elementary chiral superfields $S$ and $\ov S$ and the derivative opera...
1993-08-04
2008-11-26
[ "hep-th" ]
J. A. Dixon, R. Minasian and J. Rahmfeld
hep-th/9308009
Effects of Nongauge Potentials on the Spin-1/2 Aharonov-Bohm Problem
Some recent work has attempted to show that the singular solutions which are known to occur in the Dirac description of spin-1/2 Aharonov-Bohm scattering can be eliminated by the inclusion of strongly repulsive potentials inside the flux tube. It is shown here that these calculations are generally unreliable since they...
1993-08-03
2009-10-22
[ "hep-th" ]
C. R. Hagen
hep-th/9308007
Gauge fixing and abelianization in simple BRST quantization
In a previous paper \cite{Simple} it was shown that the BRST charge $Q$ for any gauge model with a Lie algebra symmetry may be decomposed as $Q=\del+\del^{\dag},\;\;\;\del^2=\del^{\dag 2}=0,\;\;\;[\del, \del^{\dag}]_+=0$ provided dynamical Lagrange multipliers are used but without introducing other matter variables in ...
1993-08-03
2009-10-22
[ "hep-th" ]
Robert Marnelius
hep-th/9308006
Renormalization of gauge invariant composite operators in light-cone gauge
We generalize to composite operators concepts and techniques which have been successful in proving renormalization of the effective Action in light-cone gauge. Gauge invariant operators can be grouped into classes, closed under renormalization, which is matrix-wise. In spite of the presence of non-local counterterms, a...
1993-08-03
2009-10-22
[ "hep-th" ]
C. Acerbi and A. Bassetto (Dipartimento di Fisica, Universit\`a di Padova and INFN, Sezione di Padova)
hep-th/9308008
Bethe Ansatz and Quantum Groups
The formulation and resolution of integrable lattice statistical models in a quantum group covariant way is the subject of this review. The Bethe Ansatz turns to be remarkably useful to implement quantum group symmetries and to provide quantum group representations even when $q$ is a root of unity. We start by solving ...
1993-08-03
2008-02-03
[ "hep-th", "nlin.SI", "solv-int" ]
H. J. de Vega
hep-th/9308005
Periods for Calabi--Yau and Landau--Ginzburg Vacua
The complete structure of the moduli space of \cys\ and the associated Landau-Ginzburg theories, and hence also of the corresponding low-energy effective theory that results from (2,2) superstring compactification, may be determined in terms of certain holomorphic functions called periods. These periods are shown to be...
1993-08-02
2009-10-22
[ "hep-th" ]
Per Berglund, Philip Candelas, Xenia de la Ossa, Anamaria Font, Tristan Hubsch, Dubravka Jancic, Fernando Quevedo
hep-th/9308002
Phase space structure and the path integral for gauge theories on a cylinder
The physical phase space of gauge field theories on a cylindrical spacetime with an arbitrary compact simple gauge group is shown to be the quotient $ {\bf R}^{2r}/W_A, $ $ r $ a rank of the gauge group, $ W_A $ the affine Weyl group. The PI formula resulting from Dirac's operator method contains a symmetrization with ...
1993-08-02
2009-10-22
[ "hep-th" ]
Sergey V. Shabanov
hep-th/9308004
Photon distribution for one mode mixed light with generic gaussian Wigner function
For one-mode light described by the Wigner function of generic Gaussian form the photon distribution function is obtained explicitly and expressed in terms of Hermite polynomials of two variables.The mean values and dispersions of photon numbers are obtained for this generic %mixed state.Generating function for photon ...
1993-08-02
2019-08-17
[ "hep-th" ]
V.V.Dodonov, O.V.Man'ko and V.I.Man'ko
hep-th/9308001
``Theory of Theories'' Approach to String Theory
We propose a new formulation of gauge theories as a quantum theory which has the gauge theory action $S$ as its dynamical variable. This system is described by a simple actional $I(S)$ (that is, an action for the action $S$) whose equation of motion gives the Batalin-Vilkovisky (BV) master equation for $S$. Upon quanti...
1993-08-02
2009-10-22
[ "hep-th" ]
H. Hata
hep-th/9308003
On Feynman's Approach to the Foundations of Gauge Theory
In 1948, Feynman showed Dyson how the Lorentz force and Maxwell equations could be derived from commutation relations coordinates and velocities. Several authors noted that the derived equations are not Lorentz covariant and so are not the standard Maxwell theory. In particular, Hojman and Shepley proved that the exist...
1993-08-02
2008-02-03
[ "hep-th" ]
M. C. Land, N. Shnerb, and L. P. Horwitz
hep-th/9307197
Staggered Polarization of Vertex Models with $U_q(\widehat{sl}(n))$-Symmetry
In this paper we give an explicit formula for level 1 vertex operators related to $U_q(\widehat{sl}(n))$ as operators on the Fock spaces. We derive also their commutation relations. As an applications we culculate the one point functions of the one-dimensional spin chain associated with the vector representation of $U_...
1993-08-01
2009-10-22
[ "hep-th" ]
Y. Koyama
hep-th/9307195
On the Chiral Fermions in the Twistor--Like Formulation of D=10 Heterotic String
An n=8 worldsheet superfield action is proposed for describing chiral fermions in the twistor-like formulation of an N=1, D=10 heterotic superstring.
1993-07-31
2008-11-26
[ "hep-th" ]
D. Sorokin and M. Tonin
hep-th/9307196
Free Field Representation For Massive Integrable Models
A new approach to massive integrable models is considered. It allows one to find symmetry algebras which define spaces of local operators and to get general integral representations for form-factors in the\ $ SU(2)$\ Thirring and Sine-Gordon models.
1993-07-31
2010-11-01
[ "hep-th" ]
S.Lukyanov
hep-th/9307193
Chiral Hierarchies, Compositeness and the Renormalization Group
A wide class of models involve the fine--tuning of significant hierarchies between a strong--coupling ``compositeness'' scale, and a low energy dynamical symmetry breaking scale. We examine the issue of whether such hierarchies are generally endangered by Coleman--Weinberg instabilities. A careful study using perturbat...
1993-07-30
2011-07-19
[ "hep-th", "hep-ph" ]
W.A. Bardeen, C.T. Hill and D.-U. Jungnickel
hep-th/9307190
The vacuum preserving Lie algebra of a classical W-algebra
We simplify and generalize an argument due to Bowcock and Watts showing that one can associate a finite Lie algebra (the `classical vacuum preserving algebra') containing the M\"obius $sl(2)$ subalgebra to any classical $\W$-algebra. Our construction is based on a kinematical analysis of the Poisson brackets of quasi-p...
1993-07-30
2009-10-22
[ "hep-th" ]
L. Feher, L. O'Raifeartaigh and I. Tsutsui
hep-th/9307187
Dynamical Effects of Chern-Simons Term
We study how the Chern-Simons term effects the dynamically generated fermion mass in $(2+1)D$ Quantum Electrodynamics in the framework of large $N$ expansion. We find that when the Chern-Simons term is present half of the fermions get mass $M+m$ and half get $M-m$. The parity-preserving mass $m$ is generated only when ...
1993-07-30
2007-05-23
[ "hep-th" ]
Deog Ki Hong
hep-th/9307192
Quantum group and Manin plane related to a coloured braid group representation
By considering `coloured' braid group representation we have obtained a quantum group, which reduces to the standard $GL_q(2)$ and $GL_{p,q}(2)$ cases at some particular limits of the `colour' parameters. In spite of quite complicated nature, all of these new quantum group relations can be expressed neatly in the Heise...
1993-07-30
2008-02-03
[ "hep-th", "math.QA" ]
B. Basu-Mallick
hep-th/9307189
Extended Superconformal Algebras and Free Field Realizations from Hamiltonian Reduction
We develop the method of the hamiltonian reduction of affine Lie superalgebras to obtain explicit and general expressions both for the classical and the quantum extended superconformal algebras. By performing the gauge transformation which connects the diagonal gauge with the Drinfeld-Sokolov gauge and considering the ...
1993-07-30
2009-10-22
[ "hep-th" ]
K. Ito, J.O. Madsen and J.L. Petersen
hep-th/9307191
Cancellation of unphysical gauge and ghost degrees of freedom in backreaction
We study the U(1) Higgs model in spacetime-dependent background fields (a background metric and a background scalar field). Particle creation can occur because of the time-dependence of these background fields. In gauge theories, there is a unphysical sector and consequently unphysical particles may be produced. Howe...
1993-07-30
2010-11-01
[ "hep-th" ]
Masaru Onoda
hep-th/9307188
Topological Representations of $U_q(sl_2)$ on the Torus and the Mapping Class Group
We compute the mapping class group action on cycles on the configuration space of the torus with one puncture, with coefficients in a local system arising in conformal field theory. This action commutes with the topological action of the quantum group $U_q(sl_2)$, and is given in vertex form.
1993-07-30
2008-11-26
[ "hep-th", "math.QA" ]
M. Crivelli, Giovanni Felder, C. Wieczerkowski
hep-th/9307185
c=1 Liouville Theory Perturbed by the Black-Hole Mass operator
We discuss the properties of the Liouville theory coupled to the c=1 matter when perturbed by an operator, the screening operator of the $SL(2;R)$ current algebra, which is supposed to generate the mass of the two-dimensional black hole. Mimicking the standard KPZ scaling theory of the Liouville system perturbed by the...
1993-07-30
2009-10-22
[ "hep-th" ]
Tohru Eguchi (Dept. of Physics, Univ. of Tokyo, Tokyo, Japan)
hep-th/9307186
Large-N analysis of (2+1)-dimensional Thirring model
We analyze $(2+1)$-dimensional vector-vector type four-Fermi interaction (Thirring) model in the framework of the $1/N$ expansion. By solving the Dyson-Schwinger equation in the large-$N$ limit, we show that in the two-component formalism the fermions acquire parity-violating mass dynamically in the range of the dimens...
1993-07-30
2009-10-22
[ "hep-th" ]
D. K. Hong and S. H. Park
hep-th/9307194
Dirty black holes: Entropy as a surface term
It is by now clear that the naive rule for the entropy of a black hole, {entropy} = 1/4 {area of event horizon}, is violated in many interesting cases. Indeed, several authors have recently conjectured that in general the entropy of a dirty black hole might be given purely in terms of some surface integral over the eve...
1993-07-30
2016-09-06
[ "hep-th", "gr-qc" ]
Matt Visser
hep-th/9307178
Coherent State Quantization of SU(N) Non-Abelian Chern-Simons Particles
We present a new method of formulating the classical theory of $SU(N+1)$ non-Abelian Chern-Simons (NACS) particles for arbitrary $N\geq 1$ using the symplectic reduction of $CP(N)$ manifold from $S^{2N+1}$. Quantizing the theory using BRST formulation and coherent state path integral method , we obtain a quantum mechan...
1993-07-29
2009-10-22
[ "hep-th" ]
Taejin Lee and Phillial Oh
hep-th/9307184
Quantum Mechanics and Thermodynamics of Particles with Distance Dependent Statistics
The general notion of distance dependent statistics in anyon-like systems is discussed. The two-body problem for such statistics is considered, the general formula for the second virial coefficient is derived and it is shown that in the limiting cases it reproduces the known results for ideal anyons.
1993-07-29
2014-11-18
[ "hep-th" ]
Stefan V.Mashkevich
hep-th/9307182
Charge-monopole versus Gravitational Scattering at Planckian Energies
The amplitude for the scattering of a point magnetic monopole and a point charge, at centre-of-mass energies much larger than the masses of the particles, and in the limit of low momentum transfer, is shown to be proportional to the (integer-valued) monopole strength, assuming the Dirac quantization condition for the m...
1993-07-29
2009-10-22
[ "hep-th" ]
Saurya Das and Parthasarathi Majumdar
hep-th/9307179
Classical Loop Actions of Gauge Theories
Since the first attempts to quantize Gauge Theories and Gravity in the loop representation, the problem of the determination of the corresponding classical actions has been raised. Here we propose a general procedure to determine these actions and we explicitly apply it in the case of electromagnetism. Going to the lat...
1993-07-29
2010-11-01
[ "hep-th", "gr-qc", "hep-lat" ]
Daniel Armand-Ugon, Rodolfo Gambini, Jorge Griego and Leonardo Setaro
hep-th/9307183
Fusion in conformal field theory as the tensor product of the symmetry algebra
Following a recent proposal of Richard Borcherds to regard fusion as the ring-like tensor product of modules of a {\em quantum ring}, a generalization of rings and vertex operators, we define fusion as a certain quotient of the (vector space) tensor product of representations of the symmetry algebra ${\cal A}$. We prov...
1993-07-29
2015-06-26
[ "hep-th" ]
M. Gaberdiel
hep-th/9307181
Wormhole and Hawking Radiation
It is shown in a variant of two dimensional dilaton gravity theories that an arbitrary, localized massive source put in an initially regular spacetime gives rise to formation of the wormhole classically, without accompanying the curvature singularity. The semiclassical quantum correction under this wormhole spacetime y...
1993-07-29
2017-02-01
[ "hep-th", "gr-qc" ]
M.Hotta and M.Yoshimura
hep-th/9307180
Possible Tests of Conformal Turbulence through Boundaries
We investigate various boundary conditions in two dimensional turbulence systematically in the context of conformal field theory. Keeping the conformal invariance, we can either change the shape of boundaries through finite conformal transformations, or insert boundary operators so as to handle more general cases. Effe...
1993-07-29
2010-02-05
[ "hep-th" ]
B.K. Chung, Soonkeon Nam, Q-Han Park, and H.J. Shin
hep-th/9307172
Yukawa Couplings involving Excited Twisted Sector States for ${\bf Z}_N$ and ${\bf Z}_M\times {\bf Z}_N$ Orbifolds
We study the Yukawa couplings among excited twist fields which might arise in the low-energy effective field theory obtained by compactifying the heterotic string on ${\bf Z}_N$ and ${\bf Z}_M\times {\bf Z}_N$ orbifolds.
1993-07-28
2010-11-01
[ "hep-th" ]
D. Bailin, A. Love and W.A. Sabra
hep-th/9307169
A Closed form for Consistent Anomalies in Gauge Theories
The new method for solving the descent equations for gauge theories proposed in \cite{s} is shown to be equivalent with that based on the {\em "Russian formula"}. Moreover it allows to obtain in a closed form the expressions of the consistent anomalies in any space-time dimension.
1993-07-28
2009-10-22
[ "hep-th" ]
S. P. Sorella and L. Tataru
hep-th/9307170
Classification of Structure Constants for W-algebras from Highest Weights
We show that the structure constants of W-algebras can be grouped according to the lowest (bosonic) spin(s) of the algebra. The structure constants in each group are described by a unique formula, depending on a functional parameter h(c) that is characteristic for each algebra. As examples we give the structure constan...
1993-07-28
2016-09-06
[ "hep-th" ]
K. Hornfeck
hep-th/9307177
Cosmic Censorship and the Dilaton
We investigate extremal electrically charged black holes in Einstein-Maxwell-dilaton theory with a cosmological constant inspired by string theory. These solutions are not static, and a timelike singularity eventually appears which is not surrounded by an event horizon. This suggests that cosmic censorship may be viola...
1993-07-28
2010-01-06
[ "hep-th", "gr-qc" ]
James H. Horne and Gary T. Horowitz
hep-th/9307173
The C = 1 Matrix Model Formulation of Two Dimensional Yang-Mills Theories
We find the exact matrix model description of two dimensional Yang-Mills theories on a cylinder or on a torus and with an arbitrary compact gauge group. This matrix model is the singlet sector of a $c =1$ matrix model where the matrix field is in the fundamental representation of the gauge group. We also prove that the...
1993-07-28
2015-06-26
[ "hep-th" ]
Stefano Panzeri
hep-th/9307176
Topological current algebras in two dimensions
Two-dimensional topological field theories possessing a non-abelian current symmetry are constructed. The topological conformal algebra of these models is analysed. It differs from the one obtained by twisting the $N=2$ superconformal models and contains generators of dimensions $1$, $2$ and $3$ that close a linear alg...
1993-07-28
2009-10-22
[ "hep-th" ]
J. M. Isidro and A.V. Ramallo
hep-th/9307175
Multi--Soliton Solutions of Affine Toda Models
Hirota's method is used to construct multi--soliton and plane--wave solutions for affine Toda field theories with imaginary coupling.
1993-07-28
2008-11-26
[ "hep-th" ]
Z. Zhu and D. G. Caldi
hep-th/9307171
String Unification and Threshold Corrections
The interpretation of the apparent unification of gauge couplings within supersymmetric theories depends on uncertainties induced through heavy particle thresholds. While in standard grand unified theories these effects can be estimated easily, the corresponding calculations are quite complicated in string unified theo...
1993-07-28
2009-10-22
[ "hep-th" ]
P.Mayr, H.P. Nilles and S. Stieberger
hep-th/9307174
Ward identities and Wilson renormalization group for QED
We analyze a formulation of QED based on the Wilson renormalization group. Although the ``effective Lagrangian'' used at any given scale does not have simple gauge symmetry, we show that the resulting renormalized Green's functions correctly satisfies Ward identities to all orders in perturbation theory. The loop expan...
1993-07-28
2009-10-22
[ "hep-th", "hep-ph" ]
M. Bonini, M. D'Attanasio and G. Marchesini
hep-th/9307168
String Theory and the Principle of Black Hole Complementarity
String theory provides an example of the kind of apparent inconsistency that the {\it Principle of Black Hole Complementarity\/} deals with. To a freely infalling observer a string falling through a black hole horizon appears to be a Planck size object. To an outside observer the string and all the information it carri...
1993-07-27
2009-10-07
[ "hep-th" ]
L. Susskind
hep-th/9307161
The Canonical Symmetry for Integrable Systems
The properties of discrete nonlinear symmetries of integrable equations are investigated. These symmetries are shown to be canonical transformations. On the basis of the considered examples, it is concluded, that the densities of the conservation laws are changed under these transformations by spatial divergencies.
1993-07-27
2009-10-22
[ "hep-th" ]
A. N. Leznov and A. V. Razumov
hep-th/9307162
Phase Transitions in NJL and super-NJL models
An elementary method of determination of the character of the hot phase transition in 4d four-fermion NJL-type models is applied to non-supersymmetric and supersymmetric versions of simple NJL model. We find that in the non-susy case the transition is usually of the second order. It is weakly first order only in the re...
1993-07-27
2007-05-23
[ "hep-th", "hep-ph" ]
Z.Lalak, J.Pawelczyk, S.Pokorski
hep-th/9307167
Towards a statistical mechanics of nonabelian vortices
A study is presented of classical field configurations describing nonabelian vortices in two spatial dimensions, when a global \( SO(3) \) symmetry is spontaneously broken to a discrete group \( \IK \) isomorphic to the group of integers mod 4. The vortices in this model are characterized by the nonabelian fundamental ...
1993-07-27
2009-10-22
[ "hep-th", "cond-mat", "hep-ph" ]
C.Kobdaj and S.Thomas
hep-th/9307166
Exact N=2 Landau-Ginzburg Flows
We find exactly solvable N=2-supersymmetric flows whose infrared fixed points are the N=2 minimal models. The exact S-matrices and the Casimir energy (a c-function) are determined along the entire renormalization group trajectory. The c-function runs from c=3 (asymptotically) in the UV to the N=2 minimal model values o...
1993-07-27
2009-10-22
[ "hep-th" ]
Paul Fendley and Ken Intriligator
hep-th/9307165
Thermodynamics of Vortices in the Plane
The thermodynamics of vortices in the critically coupled abelian Higgs model, defined on the plane, are investigated by placing $N$ vortices in a region of the plane with periodic boundary conditions: a torus. It is noted that the moduli space for $N$ vortices, which is the same as that of $N$ indistinguishable points ...
1993-07-27
2009-10-22
[ "hep-th" ]
P.A.Shah and N.S.Manton
hep-th/9307163
Conformal non-Abelian Thirring models
The Lie-Poisson structure of non-Abelian Thirring models is discussed and the Hamiltonian quantization of these theories is carried out. The consistency of the Hamiltonian quantization with the path integral method is established. It is shown that the space of non-Abelian Thirring models contains the nonperturbative co...
1993-07-27
2008-02-03
[ "hep-th" ]
O. A. Soloviev
hep-th/9307164
Quantum Symmetry
The representations of the observable algebra of a low dimensional quantum field theory form the objects of a braided tensor category. The search for gauge symmetry in the theory amounts to finding an algebra which has the same representation category. In this paper we try to establish that every quantum field theory s...
1993-07-27
2008-02-03
[ "hep-th" ]
Reinhard H\"aring
hep-th/9307158
Topological Amplitudes in String Theory
We show that certain type II string amplitudes at genus $g$ are given by the topological partition function $F_g$ discussed recently by Bershadsky, Cecotti, Ooguri and Vafa. These amplitudes give rise to a term in the four-dimensional effective action of the form $\sum_g F_g W^{2g}$, where $W$ is the chiral superfield ...
1993-07-26
2009-10-22
[ "hep-th" ]
I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor
hep-th/9307160
Two Dimensional Gauge Theoretic Supergravities
We investigate two dimensional supergravity theories, which can be built from a topological and gauge invariant action defined on an ordinary surface. We concentrate on four models. The first model is the $N=1$ supersymmetric extension of Jackiw-Teiltelboim model presented by Chamseddine in a superspace formalism. We c...
1993-07-26
2009-10-22
[ "hep-th", "gr-qc" ]
Daniel Cangemi and Martin Leblanc
hep-th/9307157
Non-Perturbative Two-Dimensional Dilaton Gravity
We present a review of the canonical quantization approach to the problem of non-perturbative 2d dilaton gravity. In the case of chiral matter we describe a method for solving the constraints by constructing a Kac-Moody current algebra. For the models of interest, the relevant Kac-Moody algebras are based on SL(2,R) X ...
1993-07-26
2008-02-03
[ "hep-th", "gr-qc" ]
A. Mikovic
hep-th/9307153
Some cohomology operators in 2-D field theory
It is typical for a semi-infinite cohomology complex associated with a graded Lie algebra to occur as a vertex operator (or chiral) superalgebra where all the standard operators of cohomology theory, in particular the differential, are modes of vertex operators (fields). Although vertex operator superalgebras -with the...
1993-07-26
2008-02-03
[ "hep-th", "math.QA" ]
Fusun Akman
hep-th/9307155
Consistent Interactions between Gauge Fields and Local BRST Cohomology : The Example of Yang-Mills Models
Recent results on the cohomological reformulation of the problem of consistent interactions between gauge fields are illustrated in the case of the Yang-Mills models. By evaluating the local BRST cohomology through descent equation techniques, it is shown (i) that there is a unique local, Poincar\'e invariant cubic ver...
1993-07-26
2011-04-15
[ "hep-th" ]
G. Barnich, M. Henneaux and R. Tatar
hep-th/9307159
Dilatonic Sphalerons and Non-Abelian Black Holes
We discuss properties and interpretation of recently found globally regular and black hole solutions of a Einstein-Yang-Mills-dilaton theory. Talk given at the 15th annual MRST meeting on High Energy Physics, Syracuse University, NY, May 14-15, 1993.
1993-07-26
2007-05-23
[ "hep-th" ]
George Lavrelashvili and Dieter Maison
hep-th/9307154
Renormalization Group Approach to Matrix Models and Vector Models
The renormalization group approach is studied for large $N$ models. The approach of Br\'ezin and Zinn-Justin is explained and examined for matrix models. The validity of the approach is clarified by using the vector model as a similar and simpler example. An exact difference equation is obtained which relates free ener...
1993-07-26
2008-11-26
[ "hep-th" ]
Saburo Higuchi, Chigak Itoi and Norisuke Sakai
hep-th/9307156
On the O(1/N^2) Beta-Function of the Nambu-Jona-Lasinio Model with Non-Abelian Chiral Symmetry
We present the formalism for computing the critical exponent corresponding to the $\beta$-function of the Nambu--Jona-Lasinio model with $SU(M)$ $\times$ $SU(M)$ continuous chiral symmetry at $O(1/N^2)$ in a large $N$ expansion, where $N$ is the number of fermions. We find that the equations can only be solved for the ...
1993-07-26
2009-10-22
[ "hep-th" ]
J.A. Gracey
hep-th/9307149
Quantum deformations for the diagonal R-matrices
We consider two different types of deformations for the linear group $ GL(n)$ which correspond to using of a general diagonal R-matrix. Relations between braided and quantum deformed algebras and their coactions on a quantum plane are discussed. We show that tensor-grading-preserving differential calculi can be constru...
1993-07-25
2008-02-03
[ "hep-th", "math.QA" ]
B. M. Zupnik