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hep-th/9310041
Wilson loop on a sphere
We give the formula for a simple Wilson loop on a sphere which is valid for an arbitrary QCD$_2$ saddle-point $\rho(x)$: \mbox{$W(A_1,A_2)=\oint \frac{dx}{2\pi i} \exp(\int dy \frac{\rho(y)}{y-x}+A_2x)$}. The strong-coupling-phase solution is investigated.
1993-10-07
2009-10-22
[ "hep-th" ]
D.V. Boulatov
hep-th/9310038
BRST Quantisation and the Product Formula for the Ray-Singer Torsion
We give a quantum field theoretic derivation of the formula obeyed by the Ray-Singer torsion on product manifolds. Such a derivation has proved elusive up to now. We use a BRST formalism which introduces the idea of an infinite dimensional Universal Gauge Fermion, and is of independent interest being applicable to situ...
1993-10-07
2009-10-22
[ "hep-th", "math.DG" ]
Charles Nash and Denjoe O' Connor
hep-th/9310039
Strings And Non-Topological Solitons
We have numerically calculated topological andnon-topological solitons in two spatial dimensions with Chern-Simons term. Their quantum stability, as well as that of the Maxwell vortex, is analyzed by means of bounce instantons which involve three-dimensional strings and non-topological solitons.
1993-10-07
2009-10-22
[ "hep-th" ]
R. Fiore, D. Galeazzi, L. Masperi and A. Megevand
hep-th/9310049
Chiral random matrix theory and the spectrum of the Dirac operator near zero virtuality
We investigate the spectral properties of a random matrix model, which in the large $N$ limit, embodies the essentials of the QCD partition function at low energy. The exact spectral density and its pair correlation function are derived for an arbitrary number of flavors and zero topological charge. Their microscopic l...
1993-10-07
2011-04-20
[ "hep-th", "hep-ph" ]
Jacobus Verbaarschot
hep-th/9310030
Polynomial Relations in the Centre of U_q(sl(N))
When the parameter of deformation q is a m-th root of unity, the centre of U_q(sl(N))$ contains, besides the usual q-deformed Casimirs, a set of new generators, which are basically the m-th powers of all the Cartan generators of U_q(sl(N)). All these central elements are however not independent. In this letter, general...
1993-10-06
2009-10-22
[ "hep-th", "math.QA" ]
Daniel Arnaudon and Michel Bauer
hep-th/9310031
Convergence of the Optimized Delta Expansion for the Connected Vacuum Amplitude: Zero Dimensions
Recent proofs of the convergence of the linear delta expansion in zero and in one dimensions have been limited to the analogue of the vacuum generating functional in field theory. In zero dimensions it was shown that with an appropriate, $N$-dependent, choice of an optimizing parameter $\l$, which is an important featu...
1993-10-06
2008-11-26
[ "hep-th" ]
C. M. Bender, A. Duncan and H. F. Jones
hep-th/9310032
Gradient Flows from an Approximation to the Exact Renormalization Group
Through appropriate projections of an exact renormalization group equation, we study fixed points, critical exponents and nontrivial renormalization group flows in scalar field theories in $2<d<4$. The standard upper critical dimensions $d_k={2k\over k-1}$, $k=2,3,4,\ldots$ appear naturally encoded in our formalism, an...
1993-10-06
2009-10-22
[ "hep-th" ]
Peter E. Haagensen, Yuri Kubyshin, Jose I. Latorre and Enrique Moreno
hep-th/9310033
Effective d=2 supersymmetric Lagrangians from d=1 supermatrix models
We discuss $d=1, {\cal N}=2$ supersymmetric matrix models and exhibit the associated $d=2$ collective field theory in the limit of dense eigenvalues. From this theory we construct, by the addition of several new fields, a $d=2$ supersymmetric effective field theory, which reduces to the collective field theory when the...
1993-10-06
2009-10-22
[ "hep-th" ]
R. Brustein, M. Faux and B. Ovrut
hep-th/9310035
Anomaly Inflow for Gauge Defects
Topological defects constructed out of scalar fields and possessing chiral fermion zero modes are known to exhibit an anomaly inflow mechanism which cancels the anomaly in the effective theory of the zero modes through an inflow of current from the space in which the defect is embedded. We investigate the analog of thi...
1993-10-06
2009-08-18
[ "hep-th", "hep-lat" ]
Julie Blum and Jeffrey A. Harvey
hep-th/9310034
The winding angle distribution for Brownian and SAW revisited
We study some generic aspects of the winding angle distribution around a point in two dimensions for Brownian and self avoiding walks (SAW) using corner transfer matrix and conformal field theory.
1993-10-06
2007-05-23
[ "hep-th" ]
H.Saleur
hep-th/9310029
The Exact Tachyon Beta-Function for the Wess-Zumino-Witten Model
We derive an exact expression for the tachyon $\beta$-function for the Wess-Zumino-Witten model. We check our result up to three loops by calculating the three-loop tachyon $\beta$-function for a general non-linear $\sigma$-model with torsion, and then specialising to the case of the WZW model.
1993-10-06
2009-10-22
[ "hep-th" ]
I. Jack and D. R. T. Jones
hep-th/9310027
The induced representayions of the $\kappa$-Poincare group. The massive case
The induced \6s of the $\kappa$-\1 for the massive case are described. It is shown that it extends many of the features of the classical case.
1993-10-06
2009-10-22
[ "hep-th" ]
P. Maslanka
hep-th/9310028
Resummed Effective Action in Inhomogeneous External Field at Zero and Finite Temperature
The two ways of resumming the efffective action for the massless test particles in inhomogeneous external field at zero and finite temperature providing the infrared finite answer are discussed. The case of the massive test particles having a mass which is parametrically small with respect to a scale set by the inhomog...
1993-10-06
2007-05-23
[ "hep-th" ]
A. Leonidov
hep-th/9310024
On the Quantization of Abelian Gauge Field Theories on Riemann Surfaces
In this paper general abelian gauge field theories interacting with matter fields are quantized on a closed and orientable Riemann surface $\Sigma$. The approach used is that of small perturbations around topologically nontrivial classical solutions $A^I_\mu$ of the Maxwell equations. The propagator of the gauge fields...
1993-10-05
2007-05-23
[ "hep-th" ]
F. Ferrari
hep-th/9310023
Minimal String Unification and Hidden Sector in Z_8 Orbifold Models
We study the minimal supersymmetric standard model derived from the $Z_8$ orbifold models and its hidden sectors. We use a target-space duality anomaly cancellation so as to investigate hidden sectors consistent with the MSSM unification. For the allowed hidden sectors, we estimate the running gauge coupling constants ...
1993-10-05
2009-10-22
[ "hep-th" ]
T. Kobayashi
hep-th/9310025
Energy-Momentum Conservation in General Relativity
We discuss general properties of the conservation law associated with a local symmetry. Using Noether's theorem and a generalized Belinfante symmetrization procedure in 3+1 dimensions, a symmetric energy-momentum (pseudo) tensor for the gravitational Einstein-Hilbert action is derived and discussed in detail. In 2+1 di...
1993-10-05
2014-11-18
[ "hep-th", "gr-qc" ]
Dongsu Bak, D. Cangemi, and R. Jackiw
hep-th/9310017
Non-Perturbative effective Lagrangians for super-matrix models
We discuss $d=1, {\cal N}=2$ supersymmetric matrix models and exhibit the associated $d=2$ collective field theory in the limit of dense eigenvalues. From this field theory we construct, by the addition of several new fields, a $d=2$ supersymmetric effective field theory, which reduces to the collective field theory wh...
1993-10-04
2007-05-23
[ "hep-th" ]
R. Brustein, M. Faux and B. Ovrut
hep-th/9310013
Equivariant Localization: BV-geometry and Supersymmetric Dynamics
It is shown, that the geometrical objects of Batalin-Vilkovisky formalism-- odd symplectic structure and nilpotent operator $\Delta$ can be naturally uncorporated in Duistermaat--Heckman localization procedure. The presence of the supersymmetric bi-Hamiltonian dynamics with even and odd symplectic structure in this pro...
1993-10-04
2007-05-23
[ "hep-th" ]
A.Nersessian
hep-th/9310019
N=4 Versus N=2 Phases, Hyperk\"Ahler Quotients and the 2D Topological Twist
We consider N=2 and N=4 supersymmetric gauge theories in two-dimensions, coupled to matter multiplets. In analogy with the N=2 case also in the N=4 case one can introduce Fayet-Iliopoulos terms.The associated three-parameters have the meaning of momentum-map levels in a HyperK\"ahler quotient construction. Differently ...
1993-10-04
2010-04-06
[ "hep-th" ]
Marco Billo' and Pietro Fre'
hep-th/9310014
The WZNW model by a perturbation of Witten's conformal solution
The WZNW model at the Witten conformal point is perturbed by the sigma model term. It is shown that in the large level k limit the perturbed WZNW system with negative k arrives at the WZNW model with positive k.
1993-10-04
2008-02-03
[ "hep-th" ]
Oleg A. Soloviev
hep-th/9310022
Integrals of Motion and Quantum Groups
A homological construction of integrals of motion of the classical and quantum Toda field theories is given. Using this construction, we identify the integrals of motion with cohomology classes of certain complexes, which are modeled on the BGG resolutions of the associated Lie algebras and their quantum deformations. ...
1993-10-04
2008-02-03
[ "hep-th", "math.QA" ]
Boris Feigin and Edward Frenkel
hep-th/9310016
Duality as a Gauge Symmetry and Topology Change
Duality groups as (spontaneously broken) gauge symmetries for toroidal backgrounds, and their role in ($\infty$-dimensional) underlying string gauge algebras are reviewed. For curved backgrounds, it is shown that there is a duality in the moduli space of WZNW sigma-models, that can be interpreted as a broken gauge symm...
1993-10-04
2007-05-23
[ "hep-th" ]
Amit Giveon
hep-th/9310018
Representations of the $S_N$-Extended Heisenberg Algebra and Relations Between Knizhnik-Zamolodchikov Equations and Quantum Calogero Model
We discuss lowest-weight representations of the $S_N$-Extended Heisenberg Algebras underlying the $N$-body quantum-mechanical Calogero model. Our construction leads to flat derivatives interpolating between Knizhnik-Zamolodchikov and Dunkl derivatives. It is argued that based on these results one can establish new link...
1993-10-04
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
Lars Brink and Mikhail A. Vasiliev
hep-th/9310021
Self-Intersection, Axial Anomaly and the String Picture of QCD
The leading, planar diagrams of the $1/N_c$ expansion and the usual string description suggest that quarks propagate on the boundary of a two-dimensional world surface. We restrict the quarks to the boundary of the world surface by giving them infinitely large mass on the interior of the surface and zero mass on its bo...
1993-10-04
2009-10-22
[ "hep-th" ]
Ravit Efraty
hep-th/9310020
Random Geometries in Quantum Gravity
We describe the idea of studying quantum gravity by means of dynamical triangulations and give examples of its implementation in 2, 3 and 4 space time dimensions. For $d=2$ we consider the generic hermitian 1-matrix model. We introduce the so-called moment description which allows us to find the complete perturbative s...
1993-10-04
2007-05-23
[ "hep-th" ]
C.F. Kristjansen
hep-th/9310015
Finite Approximations to Quantum Physics: Quantum Points and their Bundles
There exists a physically well motivated method for approximating manifolds by certain topological spaces with a finite or a countable set of points. These spaces, which are partially ordered sets (posets) have the power to effectively reproduce important topological features of continuum physics like winding numbers a...
1993-10-04
2009-10-22
[ "hep-th", "gr-qc", "hep-lat" ]
A.P. Balachandran, G. Bimonte, E. Ercolessi and P. Teotonio-Sobrinho
hep-th/9310012
The Batalin-Vilkovisky formalism with the Virasoro symmetry
We introduce the Virasoro symmetry in the BV formalism and give an explicit construction of the anti-bracket, which is Virasoro invariant. It is shown that the master equation with this anti-bracket has an infinite number of solutions. The base space of the BV formalism is a fermionic version of the Virasoro manifold $...
1993-10-03
2007-05-23
[ "hep-th" ]
S. Aoyama
hep-th/9310011
Topological Mass Generation in Three-Dimensional String Theory
The effective action of string theory in three dimensions is investigated, incorporating the Lorentz and gauge Chern-Simons terms in the definition of the Kalb-Ramond axion field strength. Since in three dimensions any three-form is trivial, the action can be reformulated by properly integrating the axion out. The circ...
1993-10-02
2009-10-22
[ "hep-th", "gr-qc" ]
Nemanja Kaloper
hep-th/9310005
Integrable Generalisations of the 2-dimensional Born Infeld Equation
The Born-Infeld equation in two dimensions is generalised to higher dimensions whilst retaining Lorentz Invariance and complete integrability. This generalisation retains homogeneity in second derivatives of the field.
1993-10-01
2009-10-22
[ "hep-th" ]
D.B. Fairlie and J.A. Mulvey
hep-th/9310001
Q-Deformed Path Integral
Using differential and integral calculi on the quantum plane which are invariant with respect to quantum inhomogeneous Euclidean group E(2)q , we construct path integral representation for the quantum mechanical evolution operator kernel of q-oscillator.
1993-10-01
2009-10-22
[ "hep-th" ]
M. Chaichian and A.P. Demichev
hep-th/9309160
The $q$-deformed Schr\"odinger Equation of the Harmonic Oscillator on the Quantum Euclidian Space
We consider the $q$-deformed Schr\"odinger equation of the harmonic oscillator on the $N$-dimensional quantum Euclidian space. The creation and annihilation operator are found, which systematically produce all energy levels and eigenfunctions of the Schr\"odinger equation. In order to get the $q$-series representation ...
1993-10-01
2011-07-19
[ "hep-th" ]
Ursula Carow-Watamura and Satoshi Watamura
hep-th/9310003
Quantum Einstein Gravity as a Topological Field Theory
General covariance in quantum gravity is seen once one integrates over all possible metrics. In recent years topological field theories have given us a different route to general covariance without integrating over all possible metrics. Here we argue that Einstein quantum gravity may be viewed as a topological field th...
1993-10-01
2010-04-06
[ "hep-th" ]
Andrew Toon
hep-th/9310009
String Causality
Withdrawn due to error. See D. Lowe, L. Susskind and J. Uglum, hep-th/9402136, for correct treatment. Apologies to all recipients.
1993-10-01
2008-02-03
[ "hep-th" ]
David A. Lowe
hep-th/9310006
Equations with infinitely many Lagrangians
Necessary conditions for a field theoretic equation of motion to be the consequence of variation of an infinite number of inequivalent Lagrangians are examined.
1993-10-01
2007-05-23
[ "hep-th" ]
D.B. Fairlie
hep-th/9310007
The Cosmological Constant and Volume-Preserving Diffeomorphism Invariants
Observables in the quantum field theories of $(D-1)$-form fields, $\ca$, on $D$-dimensional, compact and orientable manifolds, $M$, are computed. Computations of the vacuum value of $T_{ab}$ find it to be the metric times a function of the volume of spacetime, $\Omega(M)$. Part of this function of $\Omega$ is a finite ...
1993-10-01
2016-09-06
[ "hep-th" ]
R. Brooks
hep-th/9310010
Exact solution of the two-dimensional Dirac oscillator
In the present article we have found the complete energy spectrum and the corresponding eigenfunctions of the Dirac oscillator in two spatial dimensions. We show that the energy spectrum depends on the spin of the Dirac particle.
1993-10-01
2009-10-22
[ "hep-th" ]
Victor M. Villalba
hep-th/9310008
String Loop Threshold Corrections \break For ${\bf Z}_N$ Coxeter Orbifolds
The moduli dependence of string loop threshold corrections to gauge coupling constants is investigated for those ${\bf Z}_N$ Coxeter orbifolds with the property that some twisted sectors have fixed planes for which the six-torus ${\bf T}_6$ can not be decomposed into a direct sum ${\bf T}_4 \bigoplus{\bf T}_2$ with the...
1993-10-01
2015-06-26
[ "hep-th" ]
D. Bailin, A. Love, W.A. Sabra and S. Thomas
hep-th/9310004
Fusion algebra at a rational level and cohomology of nilpotent subalgebras of sl_2
We define and calculate the fusion algebra of WZW model at a rational level by cohomological methods. As a byproduct we obtain a cohomological characterization of admissible representations of $\widehat{\gtsl}_{2}$.
1993-10-01
2011-07-19
[ "hep-th", "math.QA" ]
Boris Feigin and Feodor Malikov
hep-th/9310002
The Untruncated Marinari-Parisi Superstring
It is shown that the bosonic angular degrees of freedom in the one dimensional Marinari-Parisi superstring can be integrated out exactly in the Hamiltonian formulation without having to perform the Dabholkar truncation. The resulting Hamiltonian is that of a supersymmetric Calogero system plus a four fermions interacti...
1993-10-01
2009-10-22
[ "hep-th" ]
G. Ferretti
hep-th/9309157
The Deformed Matrix Model at Finite Radius and a New Duality Symmetry
The $1/x^{2}$ deformed $c=1$ matrix model is studied at finite radius and non-zero cosmological constant. Calculational techniques are presented and illustrated in some examples. Furthermore, a new kind of $R \rightarrow 1/R$ duality is discovered which mixes different genus.
1993-09-30
2009-10-22
[ "hep-th" ]
Ulf H. Danielsson
hep-th/9309158
Transition Amplitudes within the Stochastic Quantization Scheme
Quantum mechanical transition amplitudes are calculated within the stochastic quantization scheme for the free nonrelativistic particle, the harmonic oscillator and the nonrelativistic particle in a constant magnetic field; we close with free Grassmann quantum mechanics.
1993-09-30
2015-06-26
[ "hep-th" ]
H. H\"uffel (Inst. f\"ur Theor. Phys., Univ. Wien) and H. Nakazato (Dept. of Phys., Univ. of the Ryukyus)
hep-th/9309159
A theory of tensor products for module categories for a vertex operator algebra, II
This is the second part in a series of papers presenting a theory of tensor products for module categories for a vertex operator algebra. In Part I (hep-th/9309076), the notions of $P(z)$- and $Q(z)$-tensor product of two modules for a vertex operator algebra were introduced and under a certain hypothesis, two construc...
1993-09-30
2008-02-03
[ "hep-th", "math.QA" ]
Yi-Zhi Huang and James Lepowsky
hep-th/9309143
Duality in Supergravity Theories
We present a unified treatment in superspace of the two dual formulations of $D=10$, $N=1$ {\it pure} supergravity based on a strictly super-geometrical framework: the only fundamental objects are the super Riemann curvature and torsion, and the related Bianchi identities are sufficient to set the theory on shell; ther...
1993-09-29
2009-10-22
[ "hep-th" ]
A. Candiello and K. Lechner
hep-th/9309156
Black Holes and Cosmological Constant in Bosonic String Theory: Some Remarks
(some corrections in the semiclassical study and one reference added).
1993-09-29
2008-11-26
[ "hep-th" ]
F. Belgiorno and A.S. Cattaneo
hep-th/9309150
Another Perturbative Expansion in Nonabelian Gauge Theory
We consider a new perturbation scheme in nonabelian gauge theory. Pure Yang-Mills theory in three dimensions is taken as a concrete example. The zeroth-order in the perturbative expansion is given by BF theory coupled to a St{\" u}ckelberg-like field. The effective coupling for the expansion can be small in the infrare...
1993-09-28
2017-02-01
[ "hep-th" ]
K.-I. Izawa
hep-th/9309155
Axial Monopoles, Quantization of Electric Charge and Dynamical Discreteness of Space-Time
In the present contribution we show that the introduction of axial currents in electrodynamics can explain the quantization of electric charge and introduces a dynamical discreteness of space-time, justifying thus the regularization of Feymman's integrals.
1993-09-28
2007-05-23
[ "hep-th" ]
M.C. Nemes and Saulo C.S. Silva
hep-th/9309154
The Sine-Gordon Solitons as a N-Body Problem
We consider the N-soliton solutions in the sine-Gordon model as a N-body problem. This leads to a relativistic generalization of the Calogero model first introduced by Ruijsenaars. We show that the fundamental Poisson bracket of the Lax matrix is quadratic, and the $r$-matrix is a dynamical one. This is in contrast to ...
1993-09-28
2008-11-26
[ "hep-th" ]
Olivier Babelon, Denis Bernard
hep-th/9309146
Null vectors, 3-point and 4-point functions in conformal field theory
We consider 3-point and 4-point correlation functions in a conformal field theory with a W-algebra symmetry. Whereas in a theory with only Virasoro symmetry the three point functions of descendants fields are uniquely determined by the three point function of the corresponding primary fields this is not the case for a ...
1993-09-28
2009-10-22
[ "hep-th" ]
P. Bowcock and G.M.T. Watts
hep-th/9309140
Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
We develop techniques to compute higher loop string amplitudes for twisted $N=2$ theories with $\hat c=3$ (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particular realization...
1993-09-27
2009-09-17
[ "hep-th" ]
M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa
hep-th/9309138
End Point of Hawking Evaporation -- Case of Integrable Model
Quantum back reaction due to $N$ massless fields may be worked out to a considerable detail in a variant of integrable dilaton gravity model in two dimensions. It is shown that there exists a critical mass of collapsing object of order $\hbar N \times$ (cosmological constant)$^{1/2}$, above which the end point of Hawki...
1993-09-27
2014-11-18
[ "hep-th" ]
M.Hotta and M.Yoshimura
hep-th/9309147
Relativistic Particle with Torsion and Charged Particle in a Constant Electromagnetic Field: Identity of Evolution
The identity of classical motion is established for two physically different models, one of which is the relativistic particle with torsion, whose action contains higher derivatives and which is the effective system for the statistically charged particle interacting with the Chern-Simons U(1) gauge field, and another i...
1993-09-27
2008-02-03
[ "hep-th" ]
Mikhail S. Plyushchay
hep-th/9309144
The Spectral Problem for the q-Knizhnik-Zamolodchikov Equation and Continuous q-Jacobi Polynomials
The spectral problem for the q-Knizhnik-Zamolodchikov equations for $U_{q}(\widehat{sl_2}) (0<q<1)$ at arbitrary level $k$ is considered. The case of two-point functions in the fundamental representation is studied in detail.The scattering states are given explicitly in terms of continuous q-Jacobi polynomials, and the...
1993-09-27
2009-10-22
[ "hep-th", "math.QA" ]
P. G. O. Freund, A. V. Zabrodin
hep-th/9309153
Shape-invariant potentials and an associated coherent state
An algebraic treatment of shape-invariant potentials in supersymmetric quantum mechanics is discussed. By introducing an operator which reparametrizes wave functions, the shape-invariance condition can be related to a oscillator-like algebra. It makes possible to define a coherent state associated with the shape-invari...
1993-09-27
2009-10-22
[ "hep-th" ]
T. Fukui and N. Aizawa
hep-th/9309151
Anyon in External Electromagnetic Field: Hamiltonian and Lagrangian Formulations
We propose a simple model for a free relativistic particle of fractional spin in 2+1 dimensions which satisfies all the necessary conditions. The canonical quantization of the system leads to the description of one- particle states of the Poincare group with arbitrary spin. Using the Hamil- tonian formulation with the ...
1993-09-27
2009-10-22
[ "hep-th" ]
M. Chaichian, R. Gonzalez Felipe and D. Louis Martinez
hep-th/9309148
Deformed Heisenberg algebra and fractional spin field in 2+1 dimensions
With the help of the deformed Heisenberg algebra involving Klein operator, we construct the minimal set of linear differential equations for the (2+1)-dimensional relativistic field with arbitrary fractional spin, whose value is defined by the deformation parameter.
1993-09-27
2008-11-26
[ "hep-th" ]
Mikhail S. Plyushchay
hep-th/9309152
Hairy Black Holes in String Theory
Solutions of bosonic string theory are constructed which correspond to four-dimensional black holes with axionic quantum hair. The basic building blocks are the renormalization group flows of the CP1 model with a theta term and the SU(1,1)/U(1) WZW coset conformal field theory. However the solutions are also found to h...
1993-09-27
2009-09-17
[ "hep-th" ]
S.B. Giddings, J. A. Harvey, Joseph Polchinski, S.H. Shenker, and A. Strominger
hep-th/9309149
Two gravitationally Chern-Simons terms are too many
It is shown that topological massive gravity augmented by the triadic gravitational Chern-Simons first order term is a curved a pure spin-2 action. This model contains two massive spin-2 excitations. However, since its light-front energy is not semidefinite positive, this double CS-action does not have any physical rel...
1993-09-27
2007-05-23
[ "hep-th" ]
C. Aragone, Pio J. Arias and A. Khoudeir
hep-th/9309139
On the Nature of Nonperturbative Effects in Stabilized 2D Quantum Gravity
We remark that the weak coupling regime of the stochastic stabilization of 2D quantum gravity has a unique perturbative vacuum, which does not support instanton configurations. By means of Monte Carlo simulations we show that the nonperturbative vacuum is also confined in one potential well. Nonperturbative effects can...
1993-09-27
2015-06-26
[ "hep-th" ]
Oscar Diego and Jose Gonzalez
hep-th/9309145
Some Speculations about Black Hole Entropy in String Theory
The classical Bekenstein entropy of a black hole is argued to arise from configurations of strings with ends which are frozen on the horizon. Quantum corrections to this entropy are probably finite unlike the case in quantum field theory. Finally it is speculated that all black holes are single string states. The level...
1993-09-27
2008-02-03
[ "hep-th" ]
Leonard Susskind
hep-th/9309141
Deformations of CFT Beyond the First Order and Closed String Field Theory
A self-consistent string field theory with interaction is formulated. The symmetry algebra of this theory includes, in the low-energy limit, local space-time symmetries, and the Brans-Dicke equation describes a class of low-energy solutions. (Talk given at the conference Journees Relativistes'93 held on April 5-7 1993,...
1993-09-27
2010-11-01
[ "hep-th" ]
Gregory Pelts
hep-th/9309137
Functional Relations in Solvable Lattice Models I: Functional Relations and Representation Theory
We study a system of functional relations among a commuting family of row-to-row transfer matrices in solvable lattice models. The role of exact sequences of the finite dimensional quantum group modules is clarified. We find a curious phenomenon that the solutions of those functional relations also solve the so-called ...
1993-09-26
2011-05-05
[ "hep-th" ]
A.Kuniba, T. Nakanishi, and J.Suzuki
hep-th/9309132
Light-Front Dynamics Of Massive Vector Chern-Simons Gravity
We present a second order gravity action which consists of ordinary Einstein action augmented by a first-order, vector like, Chern-Simons quasi topological term. This theory is ghost-free and propagates a pure spin-2 mode. It is diffeomorphism invariant, although its local Lorentz invariance has been spontaneuosly brok...
1993-09-24
2007-05-23
[ "hep-th" ]
C. Aragone, P. J. Arias and A. Khoudeir
hep-th/9309133
Duality Symmetries in Orbifold Models
We derive the duality symmetries relevant to moduli dependent gauge coupling constant threshold corrections, in Coxeter $ {\bf Z_N} $ orbifolds. We consider those orbifolds for which the point group leaves fixed a 2-dimensional sublattice $\Lambda_2$, of the six dimensional torus lattice $\Lambda_6$, where $\Lambda_6 $...
1993-09-24
2009-10-22
[ "hep-th" ]
D. Bailin, A. Love, W.A. Sabra and S. Thomas
hep-th/9309135
Lattice regularization of massive and massless integrable field theories
We show that integrable vertex and RSOS models with trigonometric Boltzmann weights and appropriate inhomogeneities provide a convenient lattice regularization for massive field theories and for the recently studied massless field theories that interpolate between two non trivial conformal field theories. Massive and m...
1993-09-24
2009-10-22
[ "hep-th" ]
N.Yu Reshetikhin, H.Saleur
hep-th/9309130
Autonomous Renormalization of Phi^4 in Finite Geometry
The autonomous renormalization of the O(N)-symmetric scalar theory is based on an infinite re-scaling of constant fields, whereas finite-momentum modes remain finite. The natural framework for a detailed analysis of this method is a system of finite size, where all non-constant modes can be integrated out perturbativel...
1993-09-24
2009-10-22
[ "hep-th", "hep-ph" ]
Uwe Ritschel
hep-th/9309128
The massive Schwinger model with $SU(2)_{f}$ on the light cone
The massive Schwinger model with two flavors is studied in the strong coupling region by using light-front Tamm-Dancoff approximation. The mass spectrum of the lightest particles is obtained numerically. We find that the mass of the lightest isotriplet (``pion'') behaves as $m^{0.50}$ for the strong couplings, where $m...
1993-09-24
2009-10-22
[ "hep-th" ]
Koji Harada, Takanori Sugihara, Masa-aki Taniguchi and Masanobu Yahiro
hep-th/9309142
Affine Toda Field Theory in the Presence of Reflecting Boundaries
We show that the ``boundary crossing-unitarity equation" recently proposed by Ghoshal and Zamolodchikov is a consequence of the boundary bootstrap equation for the S-matrix and the wall-bootstrap equation. We solve this set of equations for all affine Toda theories related to simply laced Lie algebras, obtaining explic...
1993-09-24
2009-10-22
[ "hep-th" ]
A. Fring and R. K\"oberle
hep-th/9309129
Kac-Moody structure of chiral gravity in the light-cone gauge
We study the residual symmetry $SL(2,R)\otimes U(1)$ of the chiral gravity in the light-cone gauge. Quantum gravitational effects renormalize the Kac-Moody central charge and introduce, through the Lorentz anomaly, an arbitrary parameter. Due to the presence of this free parameter the Kac-Moody central charge has no fo...
1993-09-24
2009-10-22
[ "hep-th" ]
A.Smailagic, Euro Spallucci
hep-th/9309136
Intersecting Braids and Intersecting Knot Theory
An extension of the Artin Braid Group with new operators that generate double and triple intersections is considered. The extended Alexander theorem, relating intersecting closed braids and intersecting knots is proved for double and triple intersections, and a counter example is given for the case of quadruple interse...
1993-09-24
2009-09-01
[ "hep-th", "math.QA" ]
Daniel Armand-Ugon, Rodolfo Gambini, Pablo Mora
hep-th/9309134
Toeplitz Quantization of K\"ahler Manifolds and $gl(N)$ $N\to\infty$
For general compact K\"ahler manifolds it is shown that both Toeplitz quantization and geometric quantization lead to a well-defined (by operator norm estimates) classical limit. This generalizes earlier results of the authors and Klimek and Lesniewski obtained for the torus and higher genus Riemann surfaces, respectiv...
1993-09-24
2009-10-22
[ "hep-th", "alg-geom", "funct-an", "math.AG", "math.FA" ]
Martin Bordemann, Eckhard Meinrenken and Martin Schlichenmaier
hep-th/9309131
More Gravitational Anyons
The anyonic behaviour of massive spinning point particles coupled to linearized massive vector Chern-Simons gravity is studied. This model constitutes the uniform spin-2 generalization of the vector model formed by coupling charged point particles to the topological massive Maxwell-CS action. It turns out that, for thi...
1993-09-24
2007-05-23
[ "hep-th" ]
C. Aragone P. J. Arias
hep-th/9309126
Conformal Invariance and Degrees of Freedom in the QCD String
We demonstrate that the Hagedorn-like growth of the number of observed meson states can be used to constrain the degrees of freedom of the underlying effective QCD string. We find that the temperature relevant for such string theories is not given by the usual Hagedorn value $T_H\approx 160$ MeV, but is considerably hi...
1993-09-23
2009-10-22
[ "hep-th", "hep-ph" ]
Keith R. Dienes and Jean-Rene Cudell
hep-th/9309127
A note on Polyakov's nonlocal form of the effective action
A technical point regarding the invariance of Polyakov's nonlocal form of the effective action under uniform rescalings is briefly addressed.
1993-09-23
2010-04-06
[ "hep-th" ]
J.S.Dowker
hep-th/9309125
W-Strings 93
We present a review of the status of $W$ string theories, their physical spectra, and their interactions. (Based on review talks given at the Trieste Spring Workshop, and the Strings 93 meeting at Berkeley, May 1993.)
1993-09-23
2016-11-03
[ "hep-th" ]
C.N. Pope
hep-th/9309124
Equivariant Topological Sigma Models
We identify and examine a generalization of topological sigma models suitable for coupling to topological open strings. The targets are Kahler manifolds with a real structure, i.e. with an involution acting as a complex conjugation, compatible with the Kahler metric. These models satisfy axioms of what might be called ...
1993-09-22
2009-10-22
[ "hep-th", "alg-geom", "math.AG" ]
Petr Horava
hep-th/9309123
Equivalence of Several Chern-Simons Matter Models
Not only does Chern-Simons (CS) coupling characterize statistics, but also spin and scaling dimension of matter fields. We demonstrate spin transmutation in relativistic CS matter theory, and moreover show equivalence of several models. We study CS vector model in some details, which provide consistent check to the ass...
1993-09-22
2009-10-22
[ "hep-th", "cond-mat", "hep-ph" ]
Wei Chen (UNC-CH) and Chigak Itoi (Nihon U)
hep-th/9309119
Classical Solutions for Two Dimensional QCD on the Sphere
We consider $U(N)$ and $SU(N)$ gauge theory on the sphere. We express the problem in terms of a matrix element of $N$ free fermions on a circle. This allows us to find an alternative way to show Witten's result that the partition function is a sum over classical saddle points. We then show how the phase transition of D...
1993-09-22
2010-11-01
[ "hep-th" ]
J. A. Minahan and A. P. Polychronakos
hep-th/9309121
Self-Similar Potentials and q-Coherent States
The self-similar potentials are formulated in terms of the shape-invariance. Based on it, a coherent state associated with the shape-invariant potentials is calculated in case of the self-similar potentials. It is shown that it reduces to the q-deformed coherent state.
1993-09-22
2009-10-22
[ "hep-th" ]
T. Fukui
hep-th/9309117
Sine-Gordon Theory with Higher Spin $N=2$ Supersymmetry and the Massless Limit
The Sine-Gordon theory at $\frac{\beta^{2}}{8\pi} = \frac{2}{(2n+3)},\; n= 1,2,3 \cdots $ has a higher spin generalization of the $N=2$ supersymmetry with the central terms which arises from the affine quantum group $U_{q}( \hat{s \ell} (2))$. Observing that the algebraic determination of $S$ matrices $( \approx {\rm q...
1993-09-22
2016-09-06
[ "hep-th" ]
H. Itoyama and T. Oota
hep-th/9309116
Reparametrization Invariance in Some Non-Local 1-D Field Theories
In this paper we consider 1-D non-local field theories with a particular $1/r^2$ interaction, a constant gauge field and an arbitrary scalar potential. We show that any such theory that is at a renormalization group fixed point also satisfies an infinite set of reparametrization invariance Ward identities. We also prov...
1993-09-22
2010-11-01
[ "hep-th" ]
Denise E. Freed
hep-th/9309118
Smirnov's Integrals and Quantum Knizhnik-Zamolodchikov Equation of Level $0$
We study the quantum Knizhnik-Zamolodchikov equation of level $0$ associated with the spin $1/2$ representation of $U_q \bigl(\widehat{\frak s \frak l _{2}}\bigr)$. We find an integral formula for solutions in the case of an arbitrary total spin and $|q|<1$. In the formula, different solutions can be obtained by taking...
1993-09-22
2009-10-22
[ "hep-th" ]
M. Jimbo, T. Kojima, T. Miwa and Y.-H. Quano
hep-th/9309120
On the Class of Possible Nonlocal Anyon-Like Operators and Quantum Groups
We find a class of nonlocal operators constructed by attaching a disorder operator to fermionic degrees of freedom, which can be used to generate q-deformed algebras following the Schwinger approach. This class includes the recently proposed anyonic operators defined on a lattice.
1993-09-22
2011-07-19
[ "hep-th" ]
M. Chaichian, R. Gonzales Felipe, C. Montonen
hep-th/9309122
Renormalization in Quantum Statistics of Systems with Spontaneous Symmetry Breaking
Renormalization in quantum statistics in the presence of a charge associated to a spontaneously broken symmetry is discussed for the scalar field model. In contrast to the case of non-broken symmetry, the renormalization mass counterterm depends on the chemical potential. We argue that this is connected to the ill-defi...
1993-09-22
2009-10-22
[ "hep-th" ]
M. Chaichian, J. L. Lucio M., C. Montonen, H. Perez Rojas, M. Vargas
hep-th/9309113
Classical and Quantum Intertwine
Model interactions between classical and quantum systems are briefly discussed. These include: general measurement-like couplings, Stern-Gerlach experiment, model of a counter, quantum Zeno effect, SQUID-tank model.
1993-09-21
2007-05-23
[ "hep-th" ]
Ph. Blanchard and A. Jadczyk
hep-th/9309111
Interpolating gauge fixing for Chern-Simons theory
Chern-Simons theory is analyzed with a gauge-fixing which allows to discuss the Landau gauge and the light-cone gauge at the same time.
1993-09-21
2009-10-22
[ "hep-th" ]
K. Landsteiner, M. Langer, M. Schweda and S. P. Sorella
hep-th/9309115
Developments in 2D String Theory
Lectures presented at the Spring School, Trieste, Italy 1993.
1993-09-21
2016-11-03
[ "hep-th" ]
Antal Jevicki
hep-th/9309112
Strongly Coupled Quantum and Classical Systems and Zeno's Effect
A model interaction between a two-state quantum system and a classical switching device is analysed and shown to lead to the quantum Zeno effect for large values of the coupling constant k . A minimal piecewise deterministic random process compatible with the Liouville equation is described, and it is shown that 1/k ca...
1993-09-21
2009-10-22
[ "hep-th" ]
Ph. Blanchard and A. Jadczyk
hep-th/9309114
Open Strings in Constant Electric and Magnetic Fields
Various properties of open strings in external constant E.M. fields are reviewed. In particular, the charged-particle pair production rate in an external electric field is evaluated, and shown to reduce to Schwinger's formula in the limit of low-intensity fields. Open strings in external magnetic fields are shown to un...
1993-09-21
2007-05-23
[ "hep-th" ]
Massimo Porrati
hep-th/9309109
Production of Vortices by Scattering Particles
We give an action that can be used to describe the production of global vortices in 2+1 dimensions by scattering Nambu-Goldstone bosons. At strong self-coupling the action reduces to scalar QED with particular values of the coupling constants and the production cross-section is explicitly found. We also consider the pr...
1993-09-20
2009-12-30
[ "hep-th", "hep-ph" ]
Tanmay Vachaspati
hep-th/9309110
(0,2) Landau-Ginzburg Theory
A large class of (0,2) Calabi-Yau $\sigma$-models and Landau-Ginzburg orbifolds are shown to arise as different ``phases'' of supersymmetric gauge theories. We find a phenomenon in the Landau-Ginzburg phase which may enable one to understand which Calabi-Yau $\sigma$-models evade destabilization by worldsheet instanton...
1993-09-20
2009-10-07
[ "hep-th" ]
J. Distler and S. Kachru
hep-th/9309106
Gravitational Dressing of Renormalization Group
We study the gravitational dressing of renormalizable two-dimensional field theories. Our main result is that the one-loop $\beta$-function is finitely renormalized by the factor ${k+2\over k+1}$, where $k$ is the central charge of the gravitational $SL(2, R)$ current algebra.
1993-09-20
2009-10-22
[ "hep-th" ]
I. R. Klebanov, I. I. Kogan and A. M. Polyakov
hep-th/9309108
Dirichlet String Theory and Singular Random Surfaces
We show that string theory with Dirichlet boundaries is equivalent to string theory containing surfaces with certain singular points. Surface curvature is singular at these points. A singular point is resolved in conformal coordinates to a circle with Dirichlet boundary conditions. We also show that moduli parameters o...
1993-09-20
2008-02-03
[ "hep-th" ]
Miao Li
hep-th/9309107
Two-dimensional QCD on the sphere and on the cylinder
The partition functions of QCD2 on simple surfaces admit representations in terms of exponentials of the inverse coupling, that are modular transforms of the usual character expansions. We review the construction of such a representation in the case of the cylinder, and show how it leads to a formulation of QCD2 as a $...
1993-09-20
2007-05-23
[ "hep-th" ]
M. Caselle, A. D'Adda, L. Magnea and S. Panzeri
hep-th/9309105
Fusion rules of chiral algebras
Recently (hep-th/9307183) we showed that for the case of the WZW- and the minimal models fusion can be understood as a certain ring-like tensor product of the symmetry algebra. In this paper we generalize this analysis to arbitrary chiral algebras. We define the tensor product of conformal field theory in the general c...
1993-09-20
2009-10-22
[ "hep-th" ]
M. Gaberdiel
hep-th/9309103
Quantization of the topological $\sigma$-model and the master equation of the BF formalism
We quantize the topological $\sigma$-model. The quantum master equation of the Batalin-Vilkovisky formalism $\Delta_\rho \Psi = 0$ appears as a condition which eliminates the exact states from the BRST invariant states $\Psi$ defined by $Q \Psi = 0$. The phase space of the BV formalism is a supermanifold with a specifi...
1993-09-19
2015-06-26
[ "hep-th" ]
S. Aoyama
hep-th/9309104
Degenerate Topological Vortex solutions from a generalized Abelian Higgs Model with a Chern-Simons term
We consider a generalization of the abelian Higgs model with a Chern-Simons term by modifying two terms of the usual Lagrangian. We multiply a dielectric function with the Maxwell kinetic energy term and incorporate nonminimal interaction by considering generalized covariant derivative. We show that for a particular ch...
1993-09-18
2009-10-22
[ "hep-th" ]
Pijush K. Ghosh
hep-th/9309099
Chiral Quantization on a Group Manifold
The phase space of a particle on a group manifold can be split in left and right sectors, in close analogy with the chiral sectors in Wess Zumino Witten models. We perform a classical analysis of the sectors, and the geometric quantization in the case of $SU(2)$. The quadratic relation, classically identifying $SU(2)$ ...
1993-09-18
2016-08-14
[ "hep-th" ]
Zbigniew Hasiewicz, Przemys{\l}{aw} Siemion and Walter Troost
hep-th/9309101
The Dual Faces of String Theory
Duality symmetries for strings moving in non-trivial spacetime backgrounds are analysed. It is shown that, for backgrounds generated from compact WZW and coset models, such duality symmetries are exact to all orders in string perturbation theory. A global treatment of duality symmetries is given, by associating them to...
1993-09-18
2007-05-23
[ "hep-th" ]
E. Kiritsis
hep-th/9309100
Critical scaling in the matrix model on the Bethe tree
The matrix model with a Bethe-tree embedding space (coinciding at large $N$ with the Kazakov-Migdal ``induced QCD'' model \cite{KM}) is investigated. We further elaborate the Riemann-Hilbert approach of \rf{Mig1} assuming certain holomorphic properties of the solution. The critical scaling (an edge singularity of the d...
1993-09-18
2015-06-26
[ "hep-th" ]
D.Boulatov
hep-th/9309102
On the Classicality of Broda's SU(2) Invariant of 4-manifolds
Recent work of Roberts has shown that the first surgical 4-manifold invariant of Broda and (up to an unspecified normalization factor) the state-sum invariant arising from the TQFT of Crane-Yetter are equivalent to the signature of the 4-manifold. Subsequently Broda defined another surgical invariant in which the 1- an...
1993-09-18
2008-02-03
[ "hep-th", "math.QA" ]
Louis Crane, Louis H. Kauffman, David N. Yetter