id
large_stringlengths
9
16
title
large_stringlengths
1
382
abstract
large_stringlengths
3
6.09k
publish_date
date32
update_date
date32
categories
large listlengths
1
13
authors
large_stringlengths
3
62.8k
hep-th/9208020
The Problem of Large-N Phase Transition in Kazakov-Migdal Model of Induced QCD
We study the lattice gauge model proposed recently by Kazakov and Migdal for inducing QCD. We discuss an extra local Z_N which is a symmetry of the model and propose of how to construct observables. We discuss the role of the large-N phase transition which should occur before the one associated with the continuum limit...
1992-08-06
2009-10-22
[ "hep-th", "hep-lat" ]
S.Khokhlachev and Yu.Makeenko
hep-th/9208019
2D Quantum Gravity and The Miura Map
We study the sL(3,C) mKDV string theories. We obtain the flows and the string equations. Using the generalized Miura map, we show that we have an unification of these models with the [P,Q]=Q sL(3,C) KDV ones in the framework of open-closed string theories in minimal models backgrounds.
1992-08-06
2009-10-22
[ "hep-th" ]
L.Houart
hep-th/9208017
Coherent States of the SU(N) groups
Coherent states $(CS)$ of the $SU(N)$ groups are constructed explicitly and their properties are investigated. They represent a nontrivial generalization of the spining $CS$ of the $SU(2)$ group. The $CS$ are parametrized by the points of the coset space, which is, in that particular case, the projective space $CP^{N-1...
1992-08-05
2009-10-22
[ "hep-th" ]
D.M.Gitman and A.L.Shelepin
hep-th/9308022
Particles, Superparticles and Super Yang--Mills
This paper is concerned with theories describing spinning particles that are formulated in terms of actions possessing either local world-line supersymmetry or local fermionic {\it kappa} invariance. These classical actions are obtained by adding a finite number of spinor or vector coordinates to the usual space-time c...
1992-08-05
2009-10-22
[ "hep-th" ]
C. M. Hull and J.-L. Vazquez-Bello
hep-th/9208016
SL(2,R) Chern-Simons Theories with Rational Charges and Two-dimensional Conformal Field Theories
This paper (completed March 1992) is an extensively revised and expanded version of work which appeared July 1991 on the initial incarnation of the hepth bulletin board, and which was published in the Proceedings of the Workshop on String Theory, Trieste, March 1991. Abstract We present a hamiltonian quantization of th...
1992-08-05
2009-10-22
[ "hep-th" ]
C. Imbimbo
hep-th/9208018
Gravity Theories with Lightlike Sources in D=3
Spacetimes generated by a lightlike particle source for topologically massive gravity and its limits - Einstein gravity and the pure gravitational Chern-Simons model - are obtained both by solving the field equations and by infinite boosts of static metrics. The resulting geometries are the first known solutions of top...
1992-08-05
2010-04-06
[ "hep-th", "gr-qc" ]
S. Deser and A. Steif
hep-th/9208013
On the quantum KP hierarchy and its relation to the non-linear Schr\"odinger equation
We establish a relation between the classical non-linear Schr\"odinger equation and the KP hierarchy, and we extend this relation to the quantum case by defining a quantum KP hierarchy. We present evidence that an integrable hierarchy of equations is obtained by quantizing the first Hamiltonian structure of the KdV equ...
1992-08-04
2009-10-22
[ "hep-th" ]
M.D. Freeman and P. West
hep-th/9208012
Area Law and Continuum Limit in "Induced QCD"
We investigate a class of operators with non-vanishing averages in a D-dimensional matrix model recently proposed by Kazakov and Migdal. Among the operators considered are ``filled Wilson loops" which are the most reasonable counterparts of Wilson loops in the conventional Wilson formulation of lattice QCD. The average...
1992-08-04
2009-10-22
[ "hep-th" ]
I.I. Kogan, A. Morozov, G.W. Semenoff and N. Weiss
hep-th/9208014
Quantization of systems with time-dependent constraints. Example of relativistic particle in plane wave
A modification of the canonical quantization procedure for systems with time-dependent second-class constraints is discussed and applied to the quantization of the relativistic particle in a plane wave. The time dependence of constraints appears in the problem in two ways. The Lagrangian depends on time explicitly by o...
1992-08-04
2010-04-06
[ "hep-th" ]
S.P. Gavrilov, D.M. Gitman
hep-th/9208015
One-loop Vilkovisky-DeWitt Counterterms for 2D Gravity plus Scalar Field Theory
The divergent part of the one-loop off-shell effective action is computed for a single scalar field coupled to the Ricci curvature of 2D gravity ($c \phi R$), and self interacting by an arbitrary potential term $V(\phi)$. The Vilkovisky-DeWitt effective action is used to compute gauge-fixing independent results. In our...
1992-08-04
2009-10-22
[ "hep-th", "gr-qc" ]
R. Kantowski, Caren Marzban
hep-th/9208009
A Geometrical Approach to Time-Dependent Gauge-Fixing
When a Hamiltonian system is subject to constraints which depend explicitly on time, difficulties can arise in attempting to reduce the system to its physical phase space. Specifically, it is non-trivial to restrict the system in such a way that one can find a Hamiltonian time-evolution equation involving the Dirac bra...
1992-08-03
2015-06-26
[ "hep-th", "gr-qc" ]
Jonathan M. Evans and Philip A. Tuckey
hep-th/9208008
Braided Matrix Structure of the Sklyanin Algebra and of the Quantum Lorentz Group
Braided groups and braided matrices are novel algebraic structures living in braided or quasitensor categories. As such they are a generalization of super-groups and super-matrices to the case of braid statistics. Here we construct braided group versions of the standard quantum groups $U_q(g)$. They have the same FRT g...
1992-08-03
2009-10-22
[ "hep-th", "math.QA" ]
Shahn Majid
hep-th/9208006
Quantum and Braided Linear Algebra
Quantum matrices $A(R)$ are known for every $R$ matrix obeying the Quantum Yang-Baxter Equations. It is also known that these act on `vectors' given by the corresponding Zamalodchikov algebra. We develop this interpretation in detail, distinguishing between two forms of this algebra, $V(R)$ (vectors) and $V^*(R)$ (cove...
1992-08-03
2009-10-22
[ "hep-th", "math.QA" ]
Shahn Majid
hep-th/9208005
Quantum Random Walks and Time Reversal
Classical random walks and Markov processes are easily described by Hopf algebras. It is also known that groups and Hopf algebras (quantum groups) lead to classical and quantum diffusions. We study here the more primitive notion of a quantum random walk associated to a general Hopf algebra and show that it has a simple...
1992-08-03
2015-06-26
[ "hep-th" ]
S. Majid
hep-th/9208010
A Class of Bicovariant Differential Calculi on Hopf Algebras
We introduce a large class of bicovariant differential calculi on any quantum group $A$, associated to $Ad$-invariant elements. For example, the deformed trace element on $SL_q(2)$ recovers Woronowicz' $4D_\pm$ calculus. More generally, we obtain a sequence of differential calculi on each quantum group $A(R)$, based on...
1992-08-03
2009-10-22
[ "hep-th", "math.QA" ]
Tomasz Brzezinski and Shahn Majid
hep-th/9208011
Exact resonance A-D-E S-matrices and their renormalization group trajectories
We introduce the A-D-E resonance factorized models as an appropriate analytical continuation of the Toda S-matrices to the complex values of their coupling constant. An investigation of the associated Casimir energy, via the thermodynamic Bethe ansatz, reveals a rich pattern of renormalization group trajectories interp...
1992-08-03
2009-10-22
[ "hep-th" ]
M.J. Martins
hep-th/9208007
Quantum group gauge theory on quantum spaces
We construct quantum group-valued canonical connections on quantum homogeneous spaces, including a q-deformed Dirac monopole on the quantum sphere of Podles quantum differential coming from the 3-D calculus of Woronowicz on $SU_q(2)$ . The construction is presented within the setting of a general theory of quantum prin...
1992-08-03
2009-10-22
[ "hep-th" ]
Tomasz Brzezinski and Shahn Majid
hep-th/9208003
Lagrangians for the W-Algebra Models
The field algebra of the minimal models of W-algebras is amenable to a very simple description as a polynomial algebra generated by few elementary fields, corresponding to order parameters. Using this description, the complete Landau-Ginzburg lagrangians for these models are obtained. Perturbing these lagrangians we ca...
1992-08-03
2009-10-22
[ "hep-th" ]
J.C. Gaite
hep-th/9208001
$SL(2,R)xSU(2)/R^2$ string model in curved spacetime and exact conformal results
Pursuing further the recent methods in the algebraic Hamiltonian approach to gauged WZW models, we apply them to the bosonic SL(2,R) X SU(2)/R^2 model recently investigated by Nappi and Witten. We find the global space and compute the conformally exact metric and dilaton fields to all orders in the $1/k$ expansion. The...
1992-08-02
2009-10-22
[ "hep-th" ]
I. Bars and K. Sfetsos
hep-th/9208002
Some Remarks About Induced QCD
Migdal and Kazakov have suggested that lattice QCD with an adjoint representation scalar in the infinite coupling limit could induce QCD. I find an exact saddlepoint of this theory for infinite $N$ in the case of a quadratic scalar potential. I discuss some aspects of this solution and also show how the continuum D=1...
1992-08-02
2009-10-22
[ "hep-th" ]
David J. Gross
hep-th/9207118
Heterotic String Models in Curved Spacetime
We explore the possibility of string theories in only four spacetime dimensions without any additional compactified dimensions. We show that, provided the theory is defined in curved spacetime that has a cosmological interpration, it is possible to construct consistent heterotic string theories based on a few non-compa...
1992-08-01
2008-11-26
[ "hep-th", "hep-ph" ]
Itzhak Bars
hep-th/9207117
Chiral gravity in two dimensions
It is shown that conformal matter with $c_{\ssc L}\not=c_{\ssc R}$ can be consistently coupled to two-dimensional `frame' gravity. The theory is quantized, following David, and Distler and Kawai, using the derivation of their {\it ansatz} due to Mavromatos and Miramontes, and D'Hoker and Kurzepa. New super-selection ru...
1992-07-31
2009-10-22
[ "hep-th" ]
R.C. Myers and V. Periwal
hep-th/9207113
Gravitino one-loop contribution to Planckian Scattering
Corrections to the semiclassical approximation in nearly forward Planckian energy collisions are here reconsidered. Starting from the one-loop superstring amplitude, we are able to disentangle the first subleading high-energy contribution at large impact parameters, and we thus directly compute the one-loop correction ...
1992-07-31
2009-10-22
[ "hep-th" ]
A.Bellini, M.Ademollo and M.Ciafaloni
hep-th/9207111
Comment on the Generation Number in Orbifold Compactifications
There has been some confusion concerning the number of $(1,1)$-forms in orbifold compactifications of the heterotic string in numerous publications. In this note we point out the relevance of the underlying torus lattice on this number. We answer the question when different lattices mimic the same physics and when this...
1992-07-31
2010-11-01
[ "hep-th" ]
Jens Erler and Albrecht Klemm
hep-th/9207116
Deformations of Dynamics Associated to the Chiral Potts Model
We describe deformations of non-linear (birational) representations of discrete groups generated by involutions, having their origin in the theory of the symmetric five-state Potts model. One of the deformation parameters can be seen as the number $q$ of states of a chiral Potts models. This analogy becomes exact when ...
1992-07-31
2015-06-26
[ "hep-th" ]
M.P. Bellon, J-M. Maillard, G. Rollet, C-M. Viallet
hep-th/9207110
Relativistic Rigid Particles: Classical Tachyons and Quantum Anomalies
Causal rigid particles whose action includes an {\it arbitrary} dependence on the world-line extrinsic curvature are considered. General classes of solutions are constructed, including {\it causal tachyonic} ones. The Hamiltonian formulation is developed in detail except for one degenerate situation for which only part...
1992-07-31
2009-10-22
[ "hep-th" ]
Jan Govaerts
hep-th/9207112
Planckian Vertices on High Genus Riemann Surfaces
We suggest a method to compute leading contribution at Planckian energies for superstring scattering amplitudes of any genus. In particular we test the method at one-loop level by comparison with previous result for the Regge trajectory renormalization. Modular invariance of these asymptotic terms are also discussed.
1992-07-31
2009-10-22
[ "hep-th" ]
A.Bellini
hep-th/9207115
Towards a path integral for the pure-spin connection formulation of gravity
A proposal for the path-integral of pure-spin-connection formulation of gravity is described, based on the two-form formulation of Capovilla et. al. It is shown that the resulting effective-action for the spin-connection, upon functional integration of the two-form field $\Sigma$ and the auxiliary matrix field $\psi$ i...
1992-07-31
2010-04-06
[ "hep-th" ]
Abhijit K. Kshirsagar
hep-th/9207114
Smooth Bosonization II: The Massive Case
The (1+1)-dimensional bosonization relations for fermionic mass terms are derived by choosing a specific gauge in an enlarged gauge-invariant theory containing both fermionic and bosonic fields. The fermionic part of the generating functional subject to the gauge constraint can be cast into the form of a strongly coupl...
1992-07-31
2009-10-22
[ "hep-th" ]
P.H. Damgaard, H.B. Nielsen and R. Sollacher
hep-th/9207104
Degenerations of Generalized Krichever Novikov algebras on Tori
Degenerations of Lie algebras of meromorphic vector fields on elliptic curves (i.e. complex tori) which are holomorphic outside a certain set of points (markings) are studied. By an algebraic geometric degeneration process certain subalgebras of Lie algebras of meromorphic vector fields on P^1 the Riemann sphere are ob...
1992-07-30
2014-11-18
[ "hep-th" ]
Martin Schlichenmaier
hep-th/9207106
The New Charged Massless States of Quantum Electrodynamics
Quantum Electrodynamics can be formulated as the theory of an antisymmetric tensor gauge field. In this formulation the topological current of this field appears as an additional source for the electromagnetic field. The topological charge therefore acts physically as an electric charge. The topologically nontrivial, e...
1992-07-30
2007-05-23
[ "hep-th" ]
E.C.Marino
hep-th/9207108
Lineal gravity from planar gravity
We show how to obtain the two-dimensional black hole action by dimensional reduction of the three-dimensional Einstein action with a non-zero cosmological constant. Starting from the Chern-Simons formulation of 2+1 gravity, we obtain the 1+1 dimensional gauge formulation given by Verlinde. Remarkably, the proposed redu...
1992-07-30
2009-10-22
[ "hep-th" ]
Ana Achucarro
hep-th/9207109
Chiral Rings and Physical States in c<1 String Theory
We show how the double cohomology of the String and Felder BRST charges naturally leads to the ring structure of $c<1$ strings. The chiral ring is a ring of polynomials in two variables modulo an equivalence relation of the form $x^p \simeq y^{p+1}$ for the (p+1,p) model. We also study the states corresponding to the e...
1992-07-30
2009-10-22
[ "hep-th" ]
S. Govindarajan, T. Jayaraman and V. John
hep-th/9207107
$w_{\infty}$-Currents in 3-Dimensional Toda Theory
Chiral densities obeying a $w_{\infty}$ Poisson--bracket algebra are constructed for the $2+1\,\, A_{\infty}$ -- Toda field theory, using its alternative $w_{\infty}$ -- Toda representation. They are obtained from formal traces of powers of the Lax operator. The spin 2 and 3 currents are explicitely derived, and the co...
1992-07-30
2009-10-22
[ "hep-th" ]
Jean Avan
hep-th/9207105
Naked and Thunderbolt Singularities in Black Hole Evaporation
If an evaporating black hole does not settle down to a non radiating remnant, a description by a semi classical Lorentz metric must contain either a naked singularity or what we call a thunderbolt, a singularity that spreads out to infinity on a spacelike or null path. We investigate this question in the context of var...
1992-07-30
2010-11-01
[ "hep-th" ]
S.W.Hawking and J.M.Stewart
hep-th/9207099
Energy Spectrum of Anyons in a Magnetic Field
For the many-anyon system in external magnetic field, we derive the energy spectrum as an exact solution of the quantum eigenvalue problem with particular topological constraints. Our results agree with the numerical spectra recently obtained for the 3- and the 4-anyon systems.
1992-07-29
2009-10-22
[ "hep-th", "cond-mat" ]
Fabrizio Illuminati
hep-th/9207103
String Theory Modifies Quantum Mechanics
We argue that the light particles in string theory obey an effective quantum mechanics modified by the inclusion of a quantum-gravitational friction term, induced by unavoidable couplings to unobserved massive string states in the space-time foam. This term is related to the $W$-symmetries that couple light particles t...
1992-07-29
2009-09-11
[ "hep-th", "gr-qc", "hep-ph" ]
John Ellis, N.E. Mavromatos and D.V. Nanopoulos
hep-th/9207098
Semi-Classical Quantization of the Many-Anyon System
We discuss the problem of N anyons in harmonic well, and derive the semi-classical spectrum as an exactly solvable limit of the many-anyon Hamiltonian. The relevance of our result to the solution of the anyon-gas model is discussed.
1992-07-29
2009-10-22
[ "hep-th", "cond-mat" ]
Fabrizio Illuminati
hep-th/9207097
The Large-$N$ Limit of the Two-Hermitian-matrix model by the hidden BRST method
This paper discusses the large N limit of the two-Hermitian-matrix model in zero dimensions, using the hidden BRST method. A system of integral equations previously found is solved, showing that it contained the exact solution of the model in leading order of large $N$.
1992-07-29
2009-10-22
[ "hep-th" ]
J. Alfaro
hep-th/9207096
Double Scaling Limit of the Supervirasoro Constraints
This paper supersedes the preprint Superloop Equations in the Double Scaling Limit, CERN-TH-6575. It is an improved version with corrections in the derivation of the continuum limit, a clarification of the doubling of degrees of freedom for even potentials, and with a heuristic argument showing that the part of the fre...
1992-07-29
2019-08-17
[ "hep-th" ]
Luis Alvarez-Gaume, K. Becker, M. Becker, R. Emparan and J. Manes
hep-th/9207095
Quantum Black Holes in Two Dimensions
We show that a whole class of quantum actions for dilaton-gravity, which reduce to the CGHS theory in the classical limit, can be written as a Liouville-like theory. In a sub-class of this, the field space singularity observed by several authors is absent, regardless of the number of matter fields, and in addition it i...
1992-07-29
2010-11-01
[ "hep-th", "gr-qc" ]
S. P. de Alwis
hep-th/9207102
W Algebras and Superalgebras from Constrained WZW Models: A Group Theoretical Classification
We present a classification of $W$ algebras and superalgebras arising in Abelian as well as non Abelian Toda theories. Each model, obtained from a constrained WZW action, is related with an $Sl(2)$ subalgebra (resp. $OSp(1|2)$ superalgebra) of a simple Lie algebra (resp. superalgebra) $\cg$. However, the determination ...
1992-07-29
2009-10-22
[ "hep-th" ]
L. Frappat, E. Ragoucy and P. Sorba
hep-th/9207100
Thermal Reservoir coupled to External Field and Quantum Dissipation
In the framework of the Caldeira-Leggett model of dissipative quantum mechanics, we investigate the effects of the interaction of the thermal reservoir with an external field. In particular, we discuss how the interaction modifies the conservative dynamics of the central particle, and the mechanism of dissipation. We b...
1992-07-29
2007-05-23
[ "hep-th", "cond-mat" ]
Fabrizio Illuminati & Marco Patriarca
hep-th/9207101
Quantum sl_n Toda field theories
We quantize $sl_n$ Toda field theories in a periodic lattice. We find the quantum exchange algebra in the diagonal monodromy (Bloch wave) basis in the case of the defining representation. In the $sl_3$ case we extend the analysis also to the second fundamental representation. We clarify, in particular, the relation of ...
1992-07-29
2009-10-22
[ "hep-th" ]
L.Bonora and V.Bonservizi
hep-th/9207093
Collective Coordinate Action for Charged Sigma-Model Vortices in Finite Geometries
In this Letter the method of Lund is applied to formulate a variational principle for the motion of charged vortices in an effective non-linear Schr\"{o}dinger field theory describing finite size two-dimensional quantum Hall samples under the influence of an arbitrary perpendicular magnetic field. Freezing out variatio...
1992-07-28
2009-10-22
[ "hep-th" ]
Theodore J. Allen
hep-th/9207090
Invariants of Colored Links and a Property of the Clebsch-Gordan Coefficients of $U_q(g)$
We show that multivariable colored link invariants are derived from the roots of unity representations of $U_q(g)$. We propose a property of the Clebsch-Gordan coefficients of $U_q(g)$, which is important for defining the invariants of colored links. For $U_q(sl_2) we explicitly prove the property, and then construct i...
1992-07-28
2008-02-03
[ "hep-th", "math.QA" ]
Tetsuo Deguchi and Tomotada Ohtsuki
hep-th/9207094
Chern-Simons Gauge Theory As A String Theory
Certain two dimensional topological field theories can be interpreted as string theory backgrounds in which the usual decoupling of ghosts and matter does not hold. Like ordinary string models, these can sometimes be given space-time interpretations. For instance, three-dimensional Chern-Simons gauge theory can arise a...
1992-07-28
2010-04-07
[ "hep-th" ]
Edward Witten
hep-th/9207091
Broken sigma-model isometries in very special geometry
We show that the isometries of the manifold of scalars in $N=2$ supergravity in $d=5$ space-time dimensions can be broken by the supergravity interactions. The opposite conclusion holds for the dimensionally reduced $d=4$ theories, where the isometries of the scalar manifold are always symmetries of the full theory. Th...
1992-07-28
2009-10-22
[ "hep-th" ]
Bernard de Wit, Antoine Van Proeyen
hep-th/9207092
A One-Parameter Family of Hamiltonian Structures for the KP Hierarchy and a Continuous Deformation of the Nonlinear $\W_{\rm KP}$ Algebra
The KP hierarchy is hamiltonian relative to a one-parameter family of Poisson structures obtained from a generalized Adler map in the space of formal pseudodifferential symbols with noninteger powers. The resulting $\W$-algebra is a one-parameter deformation of $\W_{\rm KP}$ admitting a central extension for generic va...
1992-07-28
2009-10-22
[ "hep-th" ]
J.M. Figueroa-O'Farrill, J. Mas, and E. Ramos
hep-th/9207089
From 2D conformal to 4D self-dual theories: quaternionic analyticity
It is shown that self-dual theories generalize to four dimensions both the conformal and analytic aspects of two-dimensional conformal field theories. In the harmonic space language there appear several ways to extend complex analyticity (natural in two dimensions) to quaternionic analyticity (natural in four dimension...
1992-07-27
2009-10-22
[ "hep-th" ]
V. Ogievetsky, F. Gursey and M. Evans
hep-th/9207086
Exact solution of d=1 Kazakov-Migdal induced gauge theory
We give the exact solution of the Kazakov-Migdal induced gauge model in the case of a D=1 compactified lattice with a generic number $S$ of sites and for any value of N. Due to the peculiar features of the model, the partition function that we obtain also describes the vortex-free sector of the D=1 compactified bosonic...
1992-07-27
2009-10-22
[ "hep-th", "hep-lat" ]
M. Caselle, A.D'Adda and S. Panzeri
hep-th/9207088
String branchings and complex tori and algebraic representations of generalized Krichever-Novikov algebras
The propagation differential for bosonic strings on a complex torus with three symmetric punctures is investigated. We study deformation aspects between two point and three point differentials as well as the behaviour of the corresponding Krichever-Novikov algebras. The structure constants are calculated and from this ...
1992-07-27
2016-09-06
[ "hep-th" ]
Andreas Ruffing, Thomas Deck, Martin Schlichenmaier
hep-th/9207087
The Gravitational Field of String Matter When the Dilaton is Massive
We study numerically the gravitational field of a star made of massive and neutral string states for the case in which the dilaton is massive. The solution exhibits very simple scaling properties in the dilaton mass. There is no horizon and the singularity is surrounded by a halo (the physical size of which is inversel...
1992-07-27
2009-10-22
[ "hep-th" ]
M. Fabbrichesi and R. Iengo
hep-th/9207084
An introduction to non-commutative differential geometry on quantum groups
We give a pedagogical introduction to the differential calculus on quantum groups by stressing at all stages the connection with the classical case ($q \rightarrow 1$ limit). The Lie derivative and the contraction operator on forms and tensor fields are found. A new, explicit form of the Cartan--Maurer equations is pre...
1992-07-26
2009-10-22
[ "hep-th", "math.QA" ]
P. Aschieri and L. Castellani
hep-th/9207085
Deviations from Scale Invariance near a General Conformal Background
Deviations from scale invariance resulting from small perturbations of a general two dimensional conformal field theory are studied. They are expressed in terms of beta functions for renormalization of general couplings under local change of scale. The beta functions for homogeneous background are given perturbatively ...
1992-07-26
2009-10-22
[ "hep-th" ]
A.Babichenko, S.Elitzur
hep-th/9207082
The sine-Gordon model and the small k^+ region of light-cone perturbation theory
The non-perturbative ultraviolet divergence of the sine-Gordon model is used to study the $k^+ = 0$ region of light-cone perturbation theory. The light-cone vacuum is shown to be unstable at the non-perturbative $\beta^2 = 8\pi$ critical point by a light-cone version of Coleman's variational method. Vacuum bubbles, whi...
1992-07-24
2009-10-22
[ "hep-th", "hep-ph" ]
Paul A. Griffin
hep-th/9207083
Staggered fermions and chiral symmetry breaking in transverse lattice regulated QED
Staggered fermions are constructed for the transverse lattice regularization scheme. The weak perturbation theory of transverse lattice non-compact QED is developed in light-cone gauge, and we argue that for fixed lattice spacing this theory is ultraviolet finite, order by order in perturbation theory. However, by calc...
1992-07-24
2009-10-22
[ "hep-th", "hep-lat" ]
Paul A. Griffin
hep-th/9207081
Quasi-classical limit of KP hierarchy, W-symmetries and free fermions
This paper deals with the dispersionless KP hierarchy from the point of view of quasi-classical limit. Its Lax formalism, W-infinity symmetries and general solutions are shown to be reproduced from their counterparts in the KP hierarchy in the limit of $\hbar \to 0$. Free fermions and bosonized vertex operators play a ...
1992-07-24
2008-02-03
[ "hep-th" ]
Kanehisa Takasaki and Takashi Takebe
hep-th/9207079
Dilatonic Black Holes, Naked Singularities and Strings
We extend a previous calculation which treated Schwarschild black hole horizons as quantum mechanical objects to the case of a charged, dilaton black hole. We show that for a unique value of the dilaton parameter `a', which is determined by the condition of unitarity of the S matrix, black holes transform at the extrem...
1992-07-23
2010-12-17
[ "hep-th" ]
P.H. Cox, B. Harms and Y. Leblanc
hep-th/9207080
Generalized Classical BRST Cohomology and Reduction of Poisson Manifolds
In this paper, we formulate a generalization of the classical BRST construction which applies to the case of the reduction of a poisson manifold by a submanifold. In the case of symplectic reduction, our procedure generalizes the usual classical BRST construction which only applies to symplectic reduction of a symplect...
1992-07-23
2009-10-22
[ "hep-th" ]
Takashi Kimura
hep-th/9207078
BRST cohomology ring in 2D gravity coupled to minimal models
The ring structure of Lian-Zuckerman states for $(q,p)$ minimal models coupled to gravity is shown to be ${\cal R}={\cal R}_0\otimes {\bf C} [w,w^{-1}]$ where ${\cal R}_0$ is the ring of ghost number zero operators generated by two elements and $w$ is an operator of ghost number $-1$. Some examples are discussed in det...
1992-07-23
2007-05-23
[ "hep-th" ]
H. Kanno and M.H. Sarmadi
hep-th/9207075
R-matrix Approach to Quantum Superalgebras su_{q}(m|n)
Quantum superalgebras $su_{q}(m\mid n)$ are studied in the framework of $R$-matrix formalism. Explicit parametrization of $L^{(+)}$ and $L^{(-)}$ matrices in terms of $su_{q}(m\mid n)$ generators are presented. We also show that quantum deformation of nonsimple superalgebra $su(n\mid n)$ requires its extension to $u(n\...
1992-07-22
2009-10-22
[ "hep-th", "math.QA" ]
D. Chang, I. Phillips, Lev Rozansky
hep-th/9207071
Ward Identities for Affine-Virasoro Correlators
Generalizing the Knizhnik-Zamolodchikov equations, we derive a hierarchy of non-linear Ward identities for affine-Virasoro correlators. The hierarchy follows from null states of the Knizhnik-Zamolodchikov type and the assumption of factorization, whose consistency we verify at an abstract level. Solution of the equatio...
1992-07-22
2008-11-26
[ "hep-th" ]
M.B. Halpern and N.A. Obers
hep-th/9207074
Quantum Kinks: Solitons at Strong Coupling
We examine solitons in theories with heavy fermions. These ``quantum'' solitons differ dramatically from semi-classical (perturbative) solitons because fermion loop effects are important when the Yukawa coupling is strong. We focus on kinks in a $(1+1)$--dimensional $\phi^4$ theory coupled to fermions; a large-$N$ expa...
1992-07-22
2009-10-22
[ "hep-th", "hep-ph" ]
Stephen G. Naculich
hep-th/9207076
Simple Quantum Systems in Spacetimes with Closed Timelike Curves
Three simple examples illustrate properties of path integral amplitudes in fixed background spacetimes with closed timelike curves: non-relativistic potential scattering in the Born approximation is non-unitary, but both an example with hard spheres and the exact solution of a totally discrete model are unitary.
1992-07-22
2009-10-22
[ "hep-th" ]
H. David Politzer
hep-th/9207077
Semi-classical Approach to Charged Dilatonic Black Hole in Two Dimensions
We consider exactly solvable semi-classical theory of two dimensional dilatonic gravity with electromagnetic interactions. As was done in the paper by Russo, Susskind and Thorlacius, the term which changes the kinetic term is added to the action. The theory contains massless fermions as matter fields and there appear t...
1992-07-22
2010-11-01
[ "hep-th" ]
Shin'ichi Nojiri and Ichiro Oda
hep-th/9207073
Integrable N=2 Supersymmetric Field Theories
Some additional references are included on the last 3 pages.
1992-07-22
2009-10-22
[ "hep-th" ]
J.M. Evans and T.J. Hollowood
hep-th/9207072
New N=1 Extended Superconformal Algebras with Two and Three Generators
In this paper we consider extensions of the super Virasoro algebra by one and two super primary fields. Using a non-explicitly covariant approach we compute all SW-algebras with one generator of dimension up to 7 in addition to the super Virasoro field. In complete analogy to W-algebras with two generators most results...
1992-07-22
2015-02-03
[ "hep-th", "gr-qc" ]
R. Blumenhagen, W. Eholzer, A. Honecker, R. Huebel
hep-th/9207068
A Quantum Anomaly For Rigid Particles
Canonical quantisation of rigid particles is considered paying special attention to the restriction on phase space due to causal propagation. A mixed Lorentz-gravitational anomaly is found in the commutator of Lorentz boosts with world-line reparametrisations. The subspace of gauge invariant physical states is therefor...
1992-07-21
2009-10-22
[ "hep-th" ]
Jan Govaerts
hep-th/9207067
A BRST Operator for non-critical W-Strings
We construct the BRST operator for non-critical $W_3$-strings and discuss the tachyon-like spectrum. For $N$-punctured spheres with $N \leq 5$ we briefly describe a formal definition of the integral over $W_3$-moduli space.
1992-07-21
2009-10-22
[ "hep-th" ]
M. Bershadsky, W. Lerche, D. Nemeschansky, N.P. Warner
hep-th/9207069
A New Family of Diagonal Ade-Related Scattering Theories
We propose the factorizable S-matrices of the massive excitations of the non-unitary minimal model $M_{2,11}$ perturbed by the operator $\Phi_{1,4}$. The massive excitations and the whole set of two particle S-matrices of the theory is simply related to the $E_8$ unitary minimal scattering theory. The counting argument...
1992-07-21
2009-10-22
[ "hep-th" ]
F.Ravanini, R. Tateo and A.Valleriani
hep-th/9207070
Horizons Inside Classical Lumps
Hopefully tex-able version.
1992-07-21
2009-10-22
[ "hep-th", "gr-qc" ]
David Kastor and Jennie Traschen
hep-th/9207066
The Global Phase Space Structure of the Wess-Zumino-Witten Model
We present a new parametrisation of the space of solutions of the Wess-Zumino-Witten model on a cylinder, with target space a compact, connected Lie group G. Using the covariant canonical approach the phase space of the theory is shown to be the co-tangent bundle of the loop group of the Lie group G, in agreement with ...
1992-07-20
2009-10-09
[ "hep-th" ]
G. Papadopoulos and B. Spence
hep-th/9207063
Physical Degrees of Freedom in 2-D String Field Theories
States in the absolute (semi-relative) cohomology but not in the relative cohomology are examined through the component decomposition of the string field theory action for the 2-D string. It is found that they are auxiliary fields without kinetic terms, but are important for instance in the master equation for the Ward...
1992-07-20
2010-11-01
[ "hep-th" ]
Norisuke Sakai and Yoshiaki Tanii
hep-th/9207064
Irreversibility of the Renormalization Group Flow in Two Dimensional Quantum Gravity
We argue that the torus partition sum in $2d$ (super) gravity, which counts physical states in the theory, is a decreasing function of the renormalization group scale. As an application we chart the space of $(\hat c\leq1)$ $c\leq1$ models coupled to (super) gravity, confirming and extending ideas due to A. Zamolodchik...
1992-07-20
2015-06-26
[ "hep-th" ]
David Kutasov
hep-th/9207065
Light-Cone Quantization of the c=2 Matrix Model
We study the large $N$ limit of an interacting \td\ matrix field theory, whose perturbative expansion generates the sum over planar random graphs embedded in two dimensions. In the \lc\ quantization the theory possesses closed string excitations which become free as $N\to\infty$. If the longitudinal momenta are discret...
1992-07-20
2009-10-22
[ "hep-th" ]
S.Dalley and I.Klebanov
hep-th/9207058
Remarks on the Additional Symmetries and W-Constraints in the Generalized KdV Hierarchy
Additional symmetries of the $p$-reduced KP hierarchy are generated by the Lax operator $L$ and another operator $M$, satisfying $res (M^n L^{m+n/p})$ = 0 for $1 \leq n \leq p-1$ and $m \geq -1$ with the condition that ${\partial L \over {\partial t_{kp}}}$ = 0, $k$ = 1, 2,..... We show explicitly that the generators o...
1992-07-16
2009-10-22
[ "hep-th" ]
Sudhakar Panda and Shibaji Roy
hep-th/9207060
Type II p-branes: the brane-scan revisited
We re-examine the classification of supersymmetric extended objects in the light of the recently discovered Type II p-branes, previously thought not to exist for p> 1. We find new points on the brane-scan only in D = 10 and then only for p = 3(Type IIB), p = 4 (Type IIA), p = 5 (Type IIA and IIB) and p = 6 (Type IIA). ...
1992-07-16
2011-07-19
[ "hep-th" ]
M. J. Duff and J. X. Lu
hep-th/9207062
A Note on N=2 Superstrings
In this note we investigate the generalised critical $N=2$ superstrings in $(1,2p)$ spacetime signature. We calculate the four-point functions for the tachyon operators of these theories. In contrast to the usual $N=2$ superstring in $(2,2)$ spacetime, the four-point functions do not vanish. The exchanged particles of ...
1992-07-16
2015-06-26
[ "hep-th" ]
J.R. Bienkowska, H. Lu
hep-th/9207059
The vacuum polarization around an axionic stringy black hole
We consider the effect of vacuum polarization around the horizon of a 4 dimensional axionic stringy black hole. In the extreme degenerate limit ($Q_a=M$), the lower limit on the black hole mass for avoiding the polarization of the surrounding medium is $M\gg (10^{-15}\div 10^{-11})m_p$ ($m_p$ is the proton mass), accor...
1992-07-16
2009-10-22
[ "hep-th" ]
A. Carlini, A. Treves, F. Fucito and M. Martellini
hep-th/9207056
Einstein manifolds in Ashtekar variables: explicit examples
We show that all solutions to the vacuum Einstein field equations may be mapped to instanton configurations of the Ashtekar variables. These solutions are characterized by properties of the moduli space of the instantons. We exhibit explicit forms of these configurations for several well-known solutions, and indicate a...
1992-07-16
2008-02-03
[ "hep-th", "gr-qc" ]
Lay Nam Chang, Chopin Soo
hep-th/9207061
Connection between the Affine and Conformal Affine Toda Models and their Hirota's Solution
It is shown that the Affine Toda models (AT) constitute a ``gauge fixed'' version of the Conformal Affine Toda model (CAT). This result enables one to map every solution of the AT models into an infinite number of solutions of the corresponding CAT models, each one associated to a point of the orbit of the conformal gr...
1992-07-16
2009-07-28
[ "hep-th" ]
C.P.Constantinidis, L.A. Ferreira, J.F. Gomes and A.H. Zimerman
hep-th/9207054
Quantum Field Theory in Spaces with Closed Time-Like Curves
Gott spacetime has closed timelike curves, but no locally anomalous stress-energy. A complete orthonormal set of eigenfunctions of the wave operator is found in the special case of a spacetime in which the total deficit angle is $2\pi$. A scalar quantum field theory is constructed using these eigenfunctions. The result...
1992-07-15
2009-10-22
[ "hep-th", "gr-qc" ]
David G. Boulware
hep-th/9207055
Vortex condensation in a model of random $\phi^{4}$-graphs
We consider a soluble model of large $\phi^{4}$-graphs randomly embedded in one compactified dimension; namely the large-order behaviour of finite-temperature perturbation theory for the partition function of the anharmonic oscillator. We solve the model using semi-classical methods and demonstrate the existence of a c...
1992-07-15
2009-10-22
[ "hep-th" ]
N. Dorey and P. S. Kurzepa
hep-th/9207053
Electric Magnetic Duality in String Theory
The electric-magnetic duality transformation in four dimensional heterotic string theory discussed by Shapere, Trivedi and Wilczek is shown to be an exact symmetry of the equations of motion of low energy effective field theory even after including the scalar and the vector fields, arising due to compactification, in t...
1992-07-15
2009-09-15
[ "hep-th" ]
Ashoke Sen
hep-th/9207057
Inonu-Wigner Contractions of Kac-Moody Algebras
We discuss In\"on\"u-Wigner contractions of affine Kac-Moody algebras. We show that the Sugawara construction for the contracted affine algebra exists only for a fixed value of the level $k$, which is determined in terms of the dimension of the uncontracted part of the starting Lie algebra, and the quadratic Casimir in...
1992-07-15
2009-10-22
[ "hep-th" ]
Parthasarathi Majumdar
hep-th/9207045
Problems of Naturalness: Some Lessons from String Theory
We consider some questions of naturalness which arise when one considers conventional field theories in the presence of gravitation: the problem of global symmetries, the strong CP problem, and the cosmological constant problem. Using string theory as a model, we argue that it is reasonable to postulate weakly broken g...
1992-07-14
2008-02-03
[ "hep-th", "hep-ph" ]
Michael Dine
hep-th/9207051
Loop Variables and the Virasoro Group
We derive an expression in closed form for the action of a finite element of the Virasoro Group on generalized vertex operators. This complements earlier results giving an algorithm to compute the action of a finite string of generators of the Virasoro Algebra on generalized vertex operators. The main new idea is to us...
1992-07-14
2009-10-22
[ "hep-th" ]
B. Sathiapalan
hep-th/9207046
One-Loop Renormalization in Two-Dimensional Matter-Dilaton Quantum Gravity and Charged Black Holes
The quantum properties of two-dimensional matter-dilaton gravity ---which includes a large family of actions for two-dimensional gravity (in particular, string-inspired models)--- are investigated. The one-loop divergences in linear covariant gauges are calculated and the structure of the one-loop renormalization is ...
1992-07-14
2009-09-17
[ "hep-th" ]
E. Elizalde and S.D. Odintsov
hep-th/9207052
Solution of the Master Equation in Terms of the Odd Time Formulation
A systematic way of formulating the Batalin-Vilkovisky method of quantization was obtained in terms of the ``odd time'' formulation. We show that in a class of gauge theories it is possible to find an ``odd time lagrangian'' yielding, by a Legendre transformation, an ``odd time hamiltonian'' which is the minimal soluti...
1992-07-14
2007-05-23
[ "hep-th" ]
O.F.Dayi
hep-th/9207048
$\bf W_\infty$ Gravity - a Geometric Approach
A brief review is given of an adaptation of the coadjoint orbit method appropriate for study of models with infinite-dimensional symmetry groups. It is illustrated on several examples, including derivation of the WZNW action of induced $D=2\,$ $(N,0)\,$ supergravity. As a main application, we present the geometric acti...
1992-07-14
2009-10-22
[ "hep-th" ]
Emil Nissimov and Svetlana Pacheva
hep-th/9207047
Schrodinger Equation for Particle with Friction
A new quantum mechanical wave equation describing a particle with frictional forces is derived. It depends on a parameter $\alpha$ whose range is determined by the coefficient of friction $\gamma$, that is, $0 \leq \alpha \leq \gamma$. For one extreme value of this parameter, $\alpha = 0$, we recover Kostin's equation....
1992-07-14
2009-10-22
[ "hep-th" ]
Alexios P. Polychronakos and Rodanthy Tzani
hep-th/9207049
Higher Twisted Sector Couplings of $Z_N$ Orbifolds
We derive the basic correlation functions of twist fields coming from arbitrary twisted sectors in symmetric $Z_N$ orbifold conformal field theories, keeping all the admissible marginal perturbations, in particular those corresponding to the antisymmetric tensor background field. This allows a thorough investigation of...
1992-07-14
2009-10-22
[ "hep-th" ]
J. Erler, D. Jungnickel, M. Spalinski and S. Stieberger
hep-th/9207050
A twistor formulation of the heterotic D=10 superstring with manifest (8,0) worldsheet supersymmetry
We propose a new formulation of the heterotic $D=10$ Green-Schwarz superstring whose worldsheet is a superspace with two even and eight odd coordinates. The action is manifestly invariant under both target-space supersymmetry and a worldsheet reparametrisation supergroup. It contains only a finite set of auxiliary fiel...
1992-07-14
2011-05-05
[ "hep-th" ]
F. Delduc, A. Galperin, P. Howe and E. Sokatchev
hep-th/9207040
Dynkin TBA's
We prove a useful identity valid for all $ADE$ minimal S-matrices, that clarifies the transformation of the relative thermodynamic Bethe Ansatz (TBA) from its standard form into the universal one proposed by Al.B.Zamolodchikov. By considering the graph encoding of the system of functional equations for the exponentials...
1992-07-13
2009-10-22
[ "hep-th" ]
F.Ravanini, R.Tateo and A.Valleriani
hep-th/9207036
Finite Euler Hierarchies And Integrable Universal Equations
Recent work on Euler hierarchies of field theory Lagrangians iteratively constructed {}from their successive equations of motion is briefly reviewed. On the one hand, a certain triality structure is described, relating arbitrary field theories, {\it classical\ts} topological field theories -- whose classical solutions ...
1992-07-13
2009-10-22
[ "hep-th" ]
Jan Govaerts
hep-th/9207037
Gott Time Machines Cannot Exist in an Open (2+1)-Dimensional Universe With Timelike Total Momentum
We prove the title.
1992-07-13
2008-02-03
[ "hep-th", "gr-qc", "hep-ph" ]
Sean M. Carroll, Edward Farhi, and Alan H. Guth
hep-th/9207042
Self-Dual Supersymmetry and Supergravity in Atiyah-Ward Space-Time
We study supersymmetry and self-duality in a four-dimensional space-time with the signature (2,2), that we call the Atiyah-Ward space-time. Dirac matrices and spinors, in particular Majorana-Weyl spinors, are investigated in detail. We formulate $ N\ge 1 $ supersymmetric self-dual Yang-Mills theories and self-dual supe...
1992-07-13
2012-08-27
[ "hep-th" ]
Sergei V. Ketov, Hitoshi Nishino and S. James Gates, Jr
hep-th/9207041
Link Invariants of Finite Type and Perturbation Theory
The Vassiliev-Gusarov link invariants of finite type are known to be closely related to perturbation theory for Chern-Simons theory. In order to clarify the perturbative nature of such link invariants, we introduce an algebra V_infinity containing elements g_i satisfying the usual braid group relations and elements a_i...
1992-07-13
2009-10-22
[ "hep-th", "math.QA" ]
John C. Baez
hep-th/9207044
Operator content and modular property of Chern-Simons coupled to a massless scalar
Corrected with some rewording
1992-07-13
2008-02-03
[ "hep-th", "cond-mat" ]
Wei Chen and Miao Li