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hep-th/9307150
Metric On Quantum Spaes
We introduce the analogue of the metric tensor in case of $q$-deformed differential calculus. We analyse the consequences of the existence of such metric, showing that this enforces severe restrictions on the parameters of the theory. We discuss in detail the examples of the Manin plane and the $q$-deformation of $SU(2...
1993-07-25
2009-10-22
[ "hep-th" ]
Andrzej Sitarz
hep-th/9307152
Discrete Gauge Anomalies in String Theory
The original version of this paper contains an error; when this is corrected the basic conclusion changes. A revised manuscript will be submitted shortly.
1993-07-25
2008-02-03
[ "hep-th", "hep-ph" ]
M. Dine, R. G. Leigh and D.A. MacIntire
hep-th/9307151
Duality Group for Calabi-Yau 2-Moduli Space
We present an efficient method for computing the duality group $\Gamma$ of the moduli space \cM for strings compactified on a Calabi-Yau manifold described by a two-moduli deformation of the quintic polynomial immersed in $\CP(4)$, $\cW={1\over5}(\iy_1^5+\cdots+\iy_5^5)-a\,\iy_4^3 \iy_5^2 -b\, \iy_4^2 \iy_5^3$. We show...
1993-07-25
2010-11-01
[ "hep-th" ]
A. Ceresole, R. D'Auria and T. Regge
hep-th/9307148
Wilson loops in four-dimensional quantum gravity
A Wilson loop is defined, in 4-D pure Einstein gravity, as the trace of the holonomy of the Christoffel connection or of the spin connection, and its invariance under the symmetry transformations of the action is showed (diffeomorphisms and local Lorentz transformations). We then compute the loop perturbatively, both o...
1993-07-24
2009-10-22
[ "hep-th" ]
Giovanni Modanese (Center for Theoretical Physics, M.I.T., Cambridge 02139, MA U.S.A.)
hep-th/9307147
Toda and Volterra Lattice Equations from Discrete Symmetries of KP Hierarchies
The discrete models of the Toda and Volterra chains are being constructed out of the continuum two-boson KP hierarchies. The main tool is the discrete symmetry preserving the Hamiltonian structure of the continuum models. The two-boson currents of KP hierarchy are being associated with sites of the corresponding chain ...
1993-07-24
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
H. Aratyn, L.A. Ferreira, J.F. Gomes and A.H. Zimerman
hep-th/9307146
$k^+=0$ Modes in Light-Cone Quantization
We investigate the light-cone quantization of $\phi^3$ theory in 1+1 dimensions with a regularization of discretized light-cone momentum $k^+$. Solving a second-class constraint associated with the $k^+=0$ mode, we show that the $k^+=0$ mode propagates along the internal lines of Feynman diagrams in any order of pertur...
1993-07-24
2009-10-22
[ "hep-th" ]
Masahiro MAENO
hep-th/9307139
Vortices on Higher Genus Surfaces
We consider the topological interactions of vortices on general surfaces. If the genus of the surface is greater than zero, the handles can carry magnetic flux. The classical state of the vortices and the handles can be described by a mapping from the fundamental group to the unbroken gauge group. The allowed configura...
1993-07-23
2009-10-22
[ "hep-th" ]
Kai-Ming Lee
hep-th/9307144
On the Probability Distribution of Velocity Circulation in Three-Dimensional Turbulence
The probability distribution functions of the circulation of velocity in three-dimensional decaying isotropic turbulence are examined by the database of the numerical simulation based on the pseudospectral method. It is shown that the standard deviation increases nearly as $A^{2/3}$ where $A$ is the area of the loop. T...
1993-07-23
2009-10-22
[ "hep-th" ]
Makoto Umeki
hep-th/9307145
ADE string vacua with discrete torsion
We complete the classification of (2,2) string vacua that can be constructed by diagonal twists of tensor products of minimal models with ADE invariants. Using the \LG\ framework, we compute all spectra from inequivalent models of this type. The completeness of our results is only possible by systematically avoiding th...
1993-07-23
2009-10-22
[ "hep-th" ]
M. Kreuzer and H. Skarke
hep-th/9307142
Complexification of Gauge Theories
For the case of a first-class constrained system with an equivariant momentum map, we study the conditions under which the double process of reducing to the constraint surface and dividing out by the group of gauge transformations $G$ is equivalent to the single process of dividing out the initial phase space by the co...
1993-07-22
2015-06-26
[ "hep-th", "gr-qc" ]
R. Loll, J.M. Mour\~ao and J.N. Tavares
hep-th/9307141
Off-Critical Lattice Analogues of $N=2$ Supersymmetric Quantum Integrable Models
We obtain off-critical (elliptic) Boltzmann weights for lattice models whose continuum limits correspond to massive, $N=2$ supersymmetric, quantum integrable field theories. We also compute the free energies of these models and show that they are analytic in the region of parameter space where we believe that the super...
1993-07-22
2009-10-22
[ "hep-th", "cond-mat" ]
D. Nemeschansky and N.P. Warner
hep-th/9307138
A Coherent Understanding of Solvable Models for Quantum Measurement Processes
By making use of Schwinger's oscillator model of angular momentum, we put forward an interesting connection among three solvable Hamiltonians, widely used for discussions on the quantum measurement problem. This connection implies that a particular macroscopic limit has to be taken for these models to be physically sen...
1993-07-22
2009-10-22
[ "hep-th" ]
Hiromichi Nakazato and Saverio Pascazio
hep-th/9307143
A theory of quantum black holes: non-perturbative corrections and no-veil conjecture
A common belief is that further quantum corrections near the singularity of a large black hole should not substantially modify the semiclassical picture of black hole evaporation; in particular, the outgoing spectrum of radiation should be very close to the thermal spectrum predicted by Hawking. In this paper we explor...
1993-07-22
2010-11-01
[ "hep-th", "gr-qc" ]
J.G. Russo
hep-th/9307137
Scattering of string-waves on black hole background
We consider the propagation of perturbations along an infinitely long stationary open string in the background of a Schwarzschild black hole. The equations of motion for the perturbations in the 2 transverse physical directions are solved to second order in a weak field expansion. We then set up a scattering formalism ...
1993-07-22
2009-10-22
[ "hep-th" ]
A.L. Larsen
hep-th/9307136
Hamiltonian Formulation of the Smooth Bosonization and Local Gauge Symmetry of the Massless Thirring Model
Using the hamiltonian formalism, we investigate the smooth bosonization method in which bosonization and fermionization are carried out through a specific gauge-fixing of an enlarged gauge invariant theory. The generator of the local gauge symmetry, which cannot be derived from the lagrangian of the enlarged theory, is...
1993-07-22
2009-10-22
[ "hep-th" ]
Tamio Ikehashi
hep-th/9307140
On the Passage from the Quantum theory to the Semi-Classical theory
In this paper an attempt is made to understand the passage from the exact quantum treatment of the CGHS theory to the semi-classical physics discussed by many authors. We find first that to the order of accuracy to which Hawking effects are calculated in the theory, it is inconsistent to ignore correlations in the dila...
1993-07-22
2010-11-01
[ "hep-th", "gr-qc" ]
S. P. de Alwis
hep-th/9307132
Large-N Collective Field Theory Applied to Anyons in Magnetic Fields
We present a large-$N$ collective field formalism for anyons in external magnetic fields interacting with arbitrary two-body potential. We discuss how the Landau level is reproduced in our framework. We apply it to the soluble model for anyons proposed by Girvin et al., and obtain the dispersion relation of collective ...
1993-07-21
2015-06-26
[ "hep-th" ]
H. Hiro-Oka and H. Minakata
hep-th/9307134
Optimal Photon Localization
We show that there is only one operator having some minimal properties enabling it to be a one photon position operator. These proerties are stated, and the solution is shown to be the photon position operator proposed by Pryce. This operator has non-commuting components. Nevertheless, it is shown that one can find sta...
1993-07-21
2009-10-22
[ "hep-th" ]
J. Mourad
hep-th/9307133
Quantization of Bogomol'nyi soliton dynamics
We approximate analytically the semi-classical differential cross-section for low-energy solitonic BPS SU(2) magnetic monopoles using the geodesic approximation. The semi-classical scattering amplitude, f(\theta), can be expressed as a conditionally convergent infinite series which is made absolutely convergent by anal...
1993-07-21
2007-05-23
[ "hep-th", "hep-ph" ]
M. Temple-Raston
hep-th/9307135
The Wigner-Weyl formalism and the semi-classical relativistic approximation
The relativistic semi-classical approximation for a free massive particle is studied using the Wigner-Weyl formalism. A non-covariant Wigner function is proposed using the Newton-Wigner position operator. The perturbative solution for the time evolution is found. Causality is found to be perturbatively respected.
1993-07-21
2007-05-23
[ "hep-th" ]
J. Mourad
hep-th/9307130
Quantum R-matrix and Intertwiners for the Kashiwara Algebra
We study the algebra $B_q(\ge)$ presented by Kashiwara and introduce intertwiners similar to $q$-vertex operators. We show that a matrix determined by 2-point functions of the intertwiners coincides with a quantum R-matrix (up to a diagonal matrix) and give the commutation relations of the intertwiners. We also introdu...
1993-07-21
2009-10-22
[ "hep-th", "math.QA" ]
Toshiki Nakashima
hep-th/9307131
On the stability of renormalizable expansions in three-dimensional gravity
Preliminary investigations are made for the stability of the $1/N$ expansion in three-dimensional gravity coupled to various matter fields, which are power-counting renormalizable. For unitary matters, a tachyonic pole appears in the spin-2 part of the leading graviton propagator, which implies the unstable flat space-...
1993-07-21
2009-10-22
[ "hep-th" ]
Shun'ya Mizoguchi and Hisashi Yamamoto
hep-th/9307129
Correlation functions of the spin-1 analog of the XXZ model
Exact integral representations of spin one-point functions (ground state expectation values) are reported for the spin-1 analog of the XXZ model in the region $-1<q<0$. The method enables one to calculate arbitrary $n$-point functions in principle. We also report a construction of level 2 irreducible highest weight rep...
1993-07-20
2008-02-03
[ "hep-th", "nlin.SI", "solv-int" ]
Makoto Idzumi
hep-th/9307127
Lattice $W$ algebras and quantum groups
We represent Feigin's construction [22] of lattice W algebras and give some simple results: lattice Virasoro and $W_3$ algebras. For simplest case $g=sl(2)$ we introduce whole $U_q(sl(2))$ quantum group on this lattice. We find simplest two-dimensional module as well as exchange relations and define lattice Virasoro al...
1993-07-20
2009-10-22
[ "hep-th", "math.QA" ]
Ya. P. Pugay
hep-th/9307126
Regularization and the BV Formalism
We summarize the application of the field--antifield formalism to the quantization of gauge field theories. After the gauge fixing, the main issues are the regularization and anomalies. We illustrate this for chiral $W_3$ gravity. We discuss also gauge theories with a non-local action, induced by a matter system with a...
1993-07-20
2007-05-23
[ "hep-th" ]
Walter Troost and Antoine Van Proeyen
hep-th/9307128
A Perturbative Improvement of the Hierarchical Approximation
We propose a perturbative improvement of the hierarchical approximation for gaussian models. The procedure is based on a relabeling of the momenta which allows one to express the symmetries of the hierarchical model using a simple multiplication group. The representations of this group are used to expand the action. Th...
1993-07-20
2007-05-23
[ "hep-th", "hep-lat" ]
Yannick Meurice
hep-th/9307125
Ising (anti-)ferromagnet on dynamical triangulations and quadrangulations
We write down matrix models for Ising spins with zero external field on the vertices of dynamical triangulated random surfaces (DTRS) and dynamically quadrangulated random surfaces (DQRS) and compare these with the standard matrix model approach which places the spins on the dual $\phi^3$ and $\phi^4$ graphs. We show t...
1993-07-20
2016-09-06
[ "hep-th" ]
D. Johnston
hep-th/9307117
Canonical Quantisation in n.A=0 gauges
We give a unified derivation of the propagator in the gauges $n.A=0$ for $n^2$ timelike, spacelike or lightlike. We discuss the physical states and other physical questions.
1993-07-19
2009-10-22
[ "hep-th", "hep-ph" ]
P V Landshoff and P van Nieuwenhuizen
hep-th/9307116
Nonlinear Renormalization Group Equation for Matrix Models
An exact renormalization group equation is derived for the free energy of matrix models. The renormalization group equation turns out to be nonlinear for matrix models, as opposed to linear for vector models. An algorithm for determining the critical coupling constant and the critical exponent is obtained. As concrete ...
1993-07-19
2009-10-22
[ "hep-th" ]
Saburo Higuchi, Chigak Itoi, Shinsuke Nishigaki and Norisuke Sakai
hep-th/9307118
Majorana-Like (j,0)+(0,j) Representation Spaces: Construction and Physical Interpretation
We present a formalism that extends the Majorana-construction to arbitrary spin (j,0)+(0,j) representation spaces. For the example case of spin-1, a wave equation satisfied by the Majorana-like (1,0)+(0,1) spinors is constructed and its physical content explored. The (j,0)+(0,j) Majorana-construct is found to possess a...
1993-07-19
2009-09-25
[ "hep-th", "hep-ph" ]
D.V. Ahluwalia, T. Goldman and M.B. Johnson
hep-th/9307120
Critical behavior of target space mean field theory
Recently, the free energy of the target space mean field (TSMF) matrix model has been calculated in the low temperature phase, order-by-order in a low temperature expansion. The TSMF model is a matrix model whose discrete target space has an infinite coordination number, and whose free energy assumes a universal form, ...
1993-07-19
2009-10-22
[ "hep-th", "hep-lat" ]
Mark Wexler
hep-th/9307115
Topological String, Matrix Integral, and Singularity Theory
We study the relation between topological string theory and singularity theory using the partition function of $A_{N-1}$ topological string defined by matrix integral of Kontsevich type. Genus expansion of the free energy is considered, and the genus $g=0$ contribution is shown to be described by a special solution of ...
1993-07-19
2009-10-22
[ "hep-th" ]
T. Nakatsu, A. Kato, M. Noumi and T. Takebe
hep-th/9307114
On operad structures of moduli spaces and string theory
Recent algebraic structures of string theory, including homotopy Lie algebras, gravity algebras and Batalin-Vilkovisky algebras, are deduced from the topology of the moduli spaces of punctured Riemann spheres. The principal reason for these structures to appear is as simple as the following. A conformal field theory is...
1993-07-19
2009-10-22
[ "hep-th", "alg-geom", "math.AG" ]
T. Kimura, J. Stasheff, and A. A. Voronov
hep-th/9307124
N-point Correlation Functions of the Spin-1 XXZ Model
We extend the recent approach of M. Jimbo, K. Miki, T. Miwa, and A. Nakayashiki to derive an integral formula for the N-point correlation functions of arbitrary local operators of the antiferromagnetic spin-1 XXZ model. For this, we realize the quantum affine symmetry algebra $U_q(su(2)_2)$ of level 2 and its correspon...
1993-07-19
2009-10-22
[ "hep-th", "cond-mat", "nlin.SI", "solv-int" ]
A. H. Bougourzi and Robert A. Weston
hep-th/9307121
Does String Theory Have a Duality Symmetry Relating Weak and Strong Coupling?
The heterotic string theory, compactified to four dimensions, has been conjectured to have a duality symmetry (S duality) that transforms the dilaton nonlinearly. If valid, this symmetry could provide an important means of obtaining information about nonperturbative features of the theory. Even though it is inherently ...
1993-07-19
2007-05-23
[ "hep-th" ]
John Schwarz
hep-th/9307123
Charged string solutions with dilaton and modulus fields
We find charged, abelian, spherically symmetric solutions (in flat space-time) corresponding to the effective action of $D=4$ heterotic string theory with scale-dependent dilaton $\p$ and modulus $\vp$ fields. We take into account perturbative (genus-one), moduli-dependent `threshold' corrections to the coupling functi...
1993-07-19
2009-09-17
[ "hep-th" ]
M. Cvetic and A.A.Tseytlin
hep-th/9307112
Towards a Canonical Formalism of Field Theory on Discrete Spacetime
It is shown that the difficulties in formulating the quantum field theory on discrete spacetime appear already in classical dynamics of one degree of freedom on discrete time. The difference equation of motion which maintains a conserved quantity like energy has a very restricted form that is not probably derived by th...
1993-07-19
2007-05-23
[ "hep-th" ]
Hiroshi Yamamoto, Akihisa Hayashi, Takaaki Hashimoto and Minoru Horibe
hep-th/9307119
The Hamiltonian Structures of the super KP hierarchy Associated with an Even Parity SuperLax Operator
We consider the even parity superLax operator for the supersymmetric KP hierarchy of the form $L~=~D^2 + \sum_{i=0}^\infty u_{i-2} D^{-i+1}$ and obtain the two Hamiltonian structures following the standard method of Gelfand and Dikii. We observe that the first Hamiltonian structure is local and linear whereas the secon...
1993-07-19
2009-10-22
[ "hep-th" ]
J. Barcelos-Neto, Sasanka Ghosh and Shibaji Roy
hep-th/9307113
Scattering From a Two Dimensional Array of Flux Tubes: A Study of The Validity of Mean Field Theory
Mean Field Theory has been extensively used in the study of systems of anyons in two spatial dimensions. In this paper we study the physical grounds for the validity of this approximation by considering the Quantum Mechanical scattering of a charged particle from a two dimensional array of magnetic flux tubes. The flux...
1993-07-19
2009-10-22
[ "hep-th", "cond-mat", "hep-ph" ]
Ken Kiers and Nathan Weiss
hep-th/9307122
Dirichlet Strings
Strings propagating along surfaces with Dirichlet boundaries are studied in this paper. Such strings were originally proposed as a possible candidate for the QCD string. Our approach is different from previous ones and is simple and general enough, with which basic problems can be easily addressed. The Green function o...
1993-07-19
2016-09-06
[ "hep-th" ]
Miao Li
hep-th/9307111
$1+1$-Dimensional Large $N$ QCD coupled to Adjoint Fermions
We consider 1+1-dimensional QCD coupled to Majorana fermions in the adjoint representation of the gauge group $SU(N)$. Pair creation of partons (fermion quanta) is not suppressed in the large-$N$ limit, where the glueball-like bound states become free. In this limit the spectrum is given by a linear \lc\ Schr\" odinger...
1993-07-18
2009-10-22
[ "hep-th", "hep-lat" ]
G. Bhanot, K. Demeterfi and I. Klebanov
hep-th/9307110
Notes on $WGL_n$-Algebras and Quantum Miura Transformation
We start from the quantum Miura transformation [7] for the $W$-algebra associated with $GL(n)$ group and find an evident formula for quantum L-operator as well as for the action of $W_l$ currents (l=1,..,n) on elements of the completely degenerated n-dimensional representation. Quantum formulae are obtained through the...
1993-07-17
2015-06-26
[ "hep-th" ]
Ya.P.Pugay
hep-th/9307106
Rational $ W $ algebras from composite operators
Factoring out the spin $1$ subalgebra of a $ W $ algebra leads to a new $ W $ structure which can be seen either as a rational finitely generated $ W $ algebra or as a polynomial non-linear $ W_\infty$ realization.
1993-07-16
2009-10-22
[ "hep-th" ]
F. Delduc, L. Frappat, P. Sorba, F. Toppan and E. Ragoucy
hep-th/9307108
Classical and Quantized Tensionless Strings
{}From the ordinary tensile string we derive a geometric action for the tensionless ($T=0$) string and discuss its symmetries and field equations. The Weyl symmetry of the usual string is shown to be replaced by a global space-time conformal symmetry in the $T\to 0$ limit. We present the explicit expressions for the ge...
1993-07-16
2009-10-22
[ "hep-th" ]
J. Isberg, U. Lindstr\"om, B. Sundborg and G. Theodoridis
hep-th/9307105
A continuum approach to 2D-Quantum Gravity for c$>$1
Two dimensional induced quantum gravity with matter central charge $c>1$ is studied taking a careful consideration of both diffeomorphism and Weyl symmetries . It is shown that, for the gauge fixing condition $R(g)$ (scalar curvature)=$const$, one obtains a modification of the David-Distler-Kawai version of KPZ scaling...
1993-07-16
2007-05-23
[ "hep-th" ]
M. Martellini, M.Spreafico and K. Yoshida
hep-th/9307109
Slave Anyons in the $t$-$J$ Model at the Supersymmetric Point
We discuss the properties of the supersymmetric $t$-$J$ model in the formalism of the slave operators. In particular we introduce a generalized abelian bosonization for the model in two dimensions, and show that holons and spinons can be anyons of arbitrary complementary statistics (slave anyon representation). The bra...
1993-07-16
2010-11-02
[ "hep-th", "cond-mat" ]
Alberto Lerda and Stefano Sciuto
hep-th/9307107
Level-Rank Duality of WZW Theories and Isomorphisms of N=2 Coset Models
Mappings between certain infinite series of N=2 superconformal coset models are constructed. They make use of level-rank dualities for B, C and D type theories. While the WZW level-rank dualities do not constitute isomorphisms of the theories, they lead to level-rank dualities of N=2 coset models that preserve the cft ...
1993-07-16
2009-10-22
[ "hep-th" ]
J. Fuchs and C. Schweigert
hep-th/9307100
Orthodox Gravity
A scalar field theory is investigated within the context of orthodox quantum gravity.
1993-07-15
2009-09-25
[ "hep-th", "gr-qc" ]
A.Y. Shiekh
hep-th/9307097
What are we quantizing in integrable field theory?
We continue study of the connection of classical limit of integrable asymptotically free field theory to the finite-gap solutions of classical integrable equations. In the limit the momenta of particles turn into the moduli of Riemann surfaces while their isotopic structure is related to the period lattices. In this pa...
1993-07-15
2007-05-23
[ "hep-th" ]
F.A. Smirnov
hep-th/9307099
Quasi Exactly Solvable 2$\times$2 Matrix Equations
We investigate the conditions under which systems of two differential eigenvalue equations are quasi exactly solvable. These systems reveal a rich set of algebraic structures. Some of them are explicitely described. An exemple of quasi exactly system is studied which provides a direct counterpart of the Lam\'e equation...
1993-07-15
2009-10-22
[ "hep-th" ]
Y. Brihaye, P. Kosinski
hep-th/9307103
Finite Chains with Quantum Affine Symmetries
We consider an extension of the (t-U) Hubbard model taking into account new interactions between the numbers of up and down electrons. We confine ourselves to a one-dimensional open chain with L sites (4^L states) and derive the effective Hamiltonian in the strong repulsion (large U) regime. This Hamiltonian acts on 3^...
1993-07-15
2009-10-22
[ "hep-th", "cond-mat", "nlin.SI", "solv-int" ]
F. C. Alcaraz, D. Arnaudon, V. Rittenberg and M. Scheunert
hep-th/9307098
Collective Coordinate Quantization: Relativistic and Gauge Symmetric Aspects
The introduction and quantization of a center-of-mass coordinate is demonstrated for the one-soliton sector of nonlinear field theories in (1+1) dimensions. The present approach strongly emphazises the gauge and BRST-symmetry aspects of collective coordinate quantization. A gauge is presented which is independent of an...
1993-07-15
2007-05-23
[ "hep-th", "hep-ph" ]
R. Sollacher
hep-th/9307102
Wigner Quantum Oscillators
We present three groups of noncanonical quantum oscillators. The position and the momentum operators of each of the groups generate basic Lie superalgebras, namely $sl(1/3)$, $osp(1/6)$ and $osp(3/2)$. The $sl(1/3)$-oscillators have finite energy spectrum and finite-dimensions. The $osp(1/6)$-oscillators are related to...
1993-07-15
2009-10-22
[ "hep-th" ]
T. D. Palev and N. I. Stoilova
hep-th/9307104
Complete Semiclassical Treatment of the Quantum Black Hole Problem
Two types of semiclassical calculations have been used to study quantum effects in black hole backgrounds, the WKB and the mean field approaches. In this work we systematically reconstruct the logical implications of both methods on quantum black hole physics and provide the link between these two approaches. Our concl...
1993-07-15
2010-11-01
[ "hep-th" ]
B. Harms and Y. Leblanc
hep-th/9307101
Central charges without finite-size effects
We show how to obtain the ultraviolet central charge from the exact S-matrix for a wide variety of models with a $U(1)$ symmetry. This is done by coupling the $U(1)$ current $J$ to a background field. In an $N$=2 superconformal theory with $J$ the fermion number current, the OPE of $J$ with itself and hence the free en...
1993-07-15
2009-10-22
[ "hep-th" ]
Paul Fendley and Ken Intriligator
hep-th/9307094
Canonical quantization of the D=2n dimensional relativistic spinning particle with anomalous magnetic moment in the external electromagnetic field
The pseudoclassical hamiltonian and action of the $D=2n$ dimensional Dirac particle with anomalous magnetic moment interacting with the external electromagnetic field is found. The Bargmann-Michel-Telegdi equation of motion for the Pauli-Lubanski vector is deduced. The canonical quantization of $D=2n$ dimensional Dirac...
1993-07-14
2008-02-03
[ "hep-th" ]
G.V. Grigoriyn, R.P. Grigoryan
hep-th/9307092
Ultra--Planck Scattering in D=3 Gravity Theories
We obtain the high energy, small angle, 2-particle gravitational scattering amplitudes in topologically massive gravity (TMG) and its two non-dynamical constituents, Einstein and Chern--Simons gravity. We use 't Hooft's approach, formally equivalent to a leading order eikonal approximation: one of the particles is take...
1993-07-14
2008-11-26
[ "hep-th", "gr-qc" ]
S. Deser, J. McCarthy, Alan R. Steif
hep-th/9307093
Some Issues In The Loop Variable Approach to Open Strings and an Extension to Closed Strings
Some issues in the loop variable renormalization group approach to gauge invariant equations for the free fields of the open string are discussed. It had been shown in an earlier paper that this leads to a simple form of the gauge transformation law. We discuss in some detail some of the curious features encountered th...
1993-07-14
2010-11-01
[ "hep-th" ]
B. Sathiapalan
hep-th/9307096
Self-Dual Supersymmetric Yang-Mills Theory Generates Two-Dimensional Supersymmetric WZNW Models
We show that recently formulated four-dimensional self-dual supersymmetric Yang-Mills theory, which is consistent background for open $~N=2$~ superstring, generates two-dimensional $~N=(1,1),~\, N=(1,0) $~ and $~N=(2,0)$~ supersymmetric gauged Wess-Zumino-Novikov-Witten $~\s\-$models on coset manifolds $~G/H$, after ap...
1993-07-14
2011-07-19
[ "hep-th" ]
Hitoshi Nishino
hep-th/9307090
Annihilation Poles for Form Factors in XXZ Model
The annihilation poles for the form factors in XXZ model are studied using vertex operators introduced in \cite{DFJMN}. An annihilation pole is the property of form factors according to which the residue of the $2n$-particle form factor in such a pole can be expressed through linear combination of the $2n-2$-particle f...
1993-07-14
2015-06-26
[ "hep-th" ]
S. Pakuliak
hep-th/9307095
A geometrical action for dilaton gravity
We study the gravitational interaction involving the dilaton and the anti-symmetrical $B_{\mu\nu}$ fields that arises in the low-energy limit of string theory. It is shown that such interaction can be derived from a geometrical action principle, with the scalar of curvature of a non-Riemannian, but {\em metric-compatib...
1993-07-14
2010-04-06
[ "hep-th" ]
Alberto Saa
hep-th/9307091
Solutions of Conformal Turbulence on a Half Plane
Exact solutions of conformal turbulence restricted on a upper half plane are obtained. We show that the inertial range of homogeneous and isotropic turbulence with constant enstrophy flux develops in a distant region from the boundary. Thus in the presence of an anisotropic boundary, these exact solutions of turbulence...
1993-07-14
2010-02-05
[ "hep-th" ]
B.K. Chung, Soonkeon Nam, Q-Han Park, and H.J. Shin
hep-th/9307085
Comment on Two Dimensional O(N) and Sp(N) Yang Mills Theories as String Theories
We write down all orders large $N$ expansions for the dimensions of irreducible representations of $O(N)$ and $Sp(N)$. We interpret all the terms in these expansions as symmetry factors for singular worldsheet configurations, involving collapsed crosscaps and tubes. We use it to complete the interpretation of two dim...
1993-07-14
2009-10-22
[ "hep-th" ]
Sanjaye Ramgoolam
hep-th/9307089
Gauge Invariance in Nonlocal Regularized QED
The existence of the invariant measure in nonlocal regularized actions is discussed. It is shown that the measure for nonlocally regularized QED, as presented in\cite{Moff-Wood}, exists to all orders, and is precisely what is required to maintain gauge invariance at one loop and guarantees perturbative unitarity. We al...
1993-07-13
2007-05-23
[ "hep-th" ]
Mike A. Clayton
hep-th/9307086
Regularization Methods in Chiral Perturbation Theory
Chiral lagrangians describing the interactions of Goldstone bosons in a theory possessing spontaneous symmetry breaking are effective, non-renormalizable field theories in four dimensions. Yet, in a momentum expansion one is able to extract definite, testable predictions from perturbation theory. These techniques have ...
1993-07-13
2009-10-22
[ "hep-th", "hep-ph" ]
D. Espriu and J. Matias
hep-th/9307087
W_{\infty} Gauge Transformations and the Electromagnetic Interactions of Electrons in the Lowest Landau Level
We construct a $W_{\infty}$ gauge field theory of electrons in the lowest Landau level. For this purpose we introduce an external gauge potential $\cal A $ such that its $W_{\infty}$ gauge transformations cancel against the gauge transformation of the electron field. We then show that the electromagnetic interactions o...
1993-07-13
2009-10-22
[ "hep-th", "cond-mat" ]
B. Sakita
hep-th/9307084
Pseudoclassical Foldy-Wouthuysen transformation and the canonical quantization of the D=2n dimensional spinning particle in the external electromagnetic field
The canonical quantization of $D=2n$ dimensional Dirac spinning particle in the external electromagnetic field is carried out in the gauge which allows to describe simultaneously particles and antiparticles (massive and massless) already at the classical level. Pseudoclassical Foldy-Wouthuysen transformation is used to...
1993-07-13
2007-05-23
[ "hep-th" ]
G.V. Grigoryan, R.P. Grigoryan (Yerevan Physics Institute, Republic of Armenia)
hep-th/9307088
A Proof of Local Background Independence of Classical Closed String Field Theory
We give a complete proof of local background independence of the classical master action for closed strings by constructing explicitly, for any two nearby conformal theories in a CFT theory space, a symplectic diffeomorphism between their state spaces mapping the corresponding non-polynomial string actions into each ot...
1993-07-13
2009-09-15
[ "hep-th" ]
Ashoke Sen and Barton Zwiebach
hep-th/9307082
Topological Field Theory of Vortices over Closed Kahler Manifolds
By dimensional reduction, Einstein-Hermitian equations of n + 1 dimensional closed Kahler manifolds lead to vortex equations of n dimensional closed Kahler manifolds. A Yang-Mills-Higgs functional to unitary bundles over closed Kahler manifolds has topological invariance by adding the additional terms which have ghost ...
1993-07-12
2011-07-19
[ "hep-th" ]
Hyuk-jae Lee
hep-th/9307083
Complex analytic realizations for quantum algebras
A method for obtaining complex analytic realizations for a class of deformed algebras based on their respective deformation mappings and their ordinary coherent states is introduced. Explicit results of such realizations are provided for the cases of the $q$-oscillators ($q$-Weyl-Heisenberg algebra) and for the $su_{q}...
1993-07-12
2009-10-22
[ "hep-th", "math.QA" ]
J. A. de Azc\'arraga and Demosthenes Ellinas
hep-th/9307081
Topological Field Threories on The Compact Kahler Complex Surfaces
The structure of topological quantum field theories on the compact Kahler manifold is interpreted. The BRST transformations of fields are derived from universal bundle and the observables are found from the second Chern class of universal bundle.
1993-07-12
2009-10-22
[ "hep-th" ]
Hyuk-jae Lee
hep-th/9307080
Boson--fermion bound states in two dimensional QCD
We derive the boson--fermion bound state equation in a two dimensional gauge theory in the large--$\nc$ limit. We analyze the properties of this equation and in particular, find that the mass trajectory is linear with respect to the bound state level for the higher mass states.
1993-07-12
2009-10-22
[ "hep-th" ]
Kenichiro Aoki
hep-th/9307078
The Langevin equation on a cell complex
We consider a cell-complex in an arbitrary Hausdorff space as a dynamical object that can be coupled to a field defined on the complex. The Langevin equation is then derived for this field. In other words, a noise-field is created resulting from the field/geometry interactions.
1993-07-11
2007-05-23
[ "hep-th" ]
F.Vanderseypen
hep-th/9307079
White Holes, Black Holes and Cpt in Two Dimensions
It is argued that a unitarity-violating but weakly CPT invariant superscattering matrix exists for leading-order large-$N$ dilaton gravity, if and only if one includes in the Hilbert space planckian ``thunderpop" excitations which create white holes. CPT apparently cannot be realized in a low-energy effective theory in...
1993-07-11
2009-09-17
[ "hep-th", "gr-qc" ]
Andrew Strominger
hep-th/9307075
Discretization of Virasoro Algebra
A $q$-discretization of \vi\ algebra is studied which reduces to the ordinary \vi\ algebra in the limit of $q \ra 1$. This is derived starting from the Moyal bracket algebra, hence is a kind of quantum deformation different from the quantum groups. Representation of this new algebra by using $q$-parametrized free field...
1993-07-10
2009-10-22
[ "hep-th" ]
Ryuji Kemmoku and Satoru Saito
hep-th/9307076
Ternary Codes and $Z_3$-Orbifold Constructions of Conformal Field Theories
We describe a pair of constructions of Eisenstein lattices from ternary codes, and a corresponding pair of constructions of conformal field theories from lattices which turn out to have a string theoretic interpretation. These are found to interconnect in a similar way to results for binary codes, which led to a genera...
1993-07-10
2007-05-23
[ "hep-th" ]
P. Montague
hep-th/9307074
All-Order Quantum Gravity in Two Dimensions
We derive curvature counterterms in two-dimensional gravity coupled to conformal matter up to infinite order. By construction the higher-order action is equivalent to a finite first-order theory with auxiliary scalar. Due to this equivalence it shares the following remarkable properties: There is no need for gravitatio...
1993-07-10
2009-10-22
[ "hep-th" ]
Thomas T. Burwick
hep-th/9307077
Closed Strings with Low Harmonics and Kinks
Low-harmonic formulas for closed relativistic strings are given. General parametrizations are presented for the addition of second- and third-harmonic waves to the fundamental wave. The method of determination of the parametrizations is based upon a product representation found for the finite Fourier series of string m...
1993-07-10
2010-11-01
[ "hep-th" ]
R.W.Brown, M.E.Convery, S.A.Hotes, M.G.Knepley, and L.S.Petropoulos
hep-th/9307065
Renormalization Group Approach to Discretized Gravity
We summarize our renormalization group approach for the vector model as well as the matrix model which are the discretized quantum gravity in one- and two-dimensional spacetime. A difference equation is obtained which relates free energies for neighboring values of $N$. The reparametrization freedom in field space is f...
1993-07-09
2007-05-23
[ "hep-th" ]
S. Higuchi, C. Itoi, S. Nishigaki and N. Sakai
hep-th/9307069
On the Necessity of Rational Velocities: a Gedankenexperiment
In the present contribution we propose a gedankenexperiment in which the restriction of rational values on the velocities emerges as a necessary condition from Classical Electromagnetism and Quantum Mechanics. This restriction is shown to be intimately connected to Dirac's electric charge quantization condition.
1993-07-09
2008-02-03
[ "hep-th" ]
M.C. Nemes and Saulo C.S. Silva
hep-th/9307071
The Algebra of Non-Local Charges in Non-Linear Sigma Models
We obtain the exact Dirac algebra obeyed by the conserved non-local charges in bosonic non-linear sigma models. Part of the computation is specialized for a symmetry group $O(N)$. As it turns out the algebra corresponds to a cubic deformation of the Kac-Moody algebra. The non-linear terms are computed in closed form. I...
1993-07-09
2009-10-22
[ "hep-th" ]
E. Abdalla, M.C.B. Abdalla, J.C. Brunelli, A.Zadra
hep-th/9307064
On Non-Linear W-Infinity Symmetry of Generalized Liouville and Conformal Toda Models
Invariance under non-linear ${\sf {\hat W}}_{\infty}$ algebra is shown for the two-boson Liouville type of model and its algebraic generalizations, the extended conformal Toda models. The realization of the corresponding generators in terms of two boson currents within KP hierarchy is presented.
1993-07-09
2009-10-22
[ "hep-th" ]
H. Aratyn, L.A. Ferreira, J.F. Gomes and A.H. Zimerman
hep-th/9307059
Black Hole Statistics
The quantum statistics of charged, extremal black holes is investigated beginning with the hypothesis that the quantum state is a functional on the space of closed three-geometries, with each black hole connected to an oppositely charged black hole through a spatial wormhole. From this starting point a simple argument ...
1993-07-09
2009-09-17
[ "hep-th", "gr-qc" ]
Andrew Strominger
hep-th/9307068
Axial Currents in Electrodynamics P.C.R
In the present work we argue that the usual assumption that magnetic currents possess the vector structure characteristic of electric currents may be the source of several difficulties in the theory of magnetic monopoles. We propose an {\it axial} magnetic current instead and show that such difficulties are solved. Cha...
1993-07-09
2007-05-23
[ "hep-th" ]
Cardoso de Melo, M.C. Nemes and Saulo C.S. Silva
hep-th/9307063
From 1-matrix model to Kontsevich model
Loop equations of matrix models express the invariance of the models under field redefinitions. We use loop equations to prove that it is possible to define continuum times for the generic hermitian {1-matrix} model such that all correlation functions in the double scaling limit agree with the corresponding correlation...
1993-07-09
2015-06-26
[ "hep-th" ]
Jan Ambjorn and Charlotte F. Kristjansen
hep-th/9307066
Massive sigma models with (p,q) supersymmetry
We determine the general scalar potential consistent with (p,q) supersymmetry in two-dimensional non-linear sigma models with torsion, generalizing previous results for special cases. We thereby find many new supersymmetric sigma models with potentials, including new (2,2) and (4,4) models.
1993-07-09
2010-04-06
[ "hep-th" ]
G. Papadopoulos and P.K. Townsend
hep-th/9307062
Off-Shell Bethe Ansatz Equation and N-point Correlators in the SU(2) WZNW Theory
We prove that the wave vectors of the off-shell Bethe Ansatz equation for the inhomogeneous SU(2) lattice vertex model render in the quasiclassical limit the solution of the Knizhnik-Zamolodchikov equation.
1993-07-09
2010-11-01
[ "hep-th" ]
H.M. Baboujian
hep-th/9307072
Quantum Evaporation of Liouville Black Holes
The classical field equations of a Liouville field coupled to gravity in two spacetime dimensions are shown to have black hole solutions. Exact solutions are also obtained when quantum corrections due to back reaction effects are included, modifying both the ADM mass and the black hole entropy. The thermodynamic limit ...
1993-07-09
2007-05-23
[ "hep-th" ]
R.B. Mann
hep-th/9307070
Dirac Monopoles and the Angular Momentum of the Electromagnetic Field
We present a possible solution for the long standing problem of the incompatibility of Dirac's charge quantization condition with integer values for the angular momentum of the electromagnetic field.
1993-07-09
2007-05-23
[ "hep-th" ]
M.C. Nemes and Saulo C.S. Silva
hep-th/9307061
Electrically neutral Dirac particles in the presence of external fields: exact solutions
In the present article we present exact solutions of the Dirac equation for electric neutral particles with anomalous electric and magnetic moments. Using the algebraic method of separation of variables, the Dirac equation is separated in cartesian, cylindrical and spherical coordinates, and exact solutions are obtaine...
1993-07-09
2009-10-22
[ "hep-th" ]
German V. Shishkin and Victor M. Villalba
hep-th/9307067
On the Calculability of Observables in Topological Quantum Mechanical Models
We consider a superconformal quantum mechanical system which has been chosen on the basis of a local BRST topological invariance. We suggest that it truly leads to topological observables which we compute. The absences of a ground state and of a mass gap are special features of this system.
1993-07-09
2009-10-22
[ "hep-th" ]
L. Baulieu and E. Rabinovici
hep-th/9307073
Do we need the $W^{(n>3)}$ constraints to solve the $(1,q)$ models coupled to 2D gravity?
We prove that all the correlation functions in the $(1,q)$ models are calculable using only the Virasoro and the $W^{(3)}$ constraints. This result is based on the invariance of correlators with respect to an interchange of the order of the operators they contain. In terms of the topological recursion relations, it m...
1993-07-09
2009-10-22
[ "hep-th" ]
Y.Lavi and J.Sonnenschein
hep-th/9307060
Trace anomaly of the conformal gauge field
The proposed by Bastianelli and van Nieuwenhuizen new method of calculations of trace anomalies is applied in the conformal gauge field case. The result is then reproduced by the heat equation method. An error in previous calculation is corrected. It is pointed out that the introducing gauge symmetries into a given sys...
1993-07-09
2009-10-22
[ "hep-th" ]
Jan Sladkowski
hep-th/9307057
Quantum Dust Black Holes
By analysing the infinite dimensional midisuperspace of spherically symmetric dust universes, and aply it to collapsing dust stars, one finds that the general quantum state is a bound state. This leads to discrete spectrum. In the case of a Schwarzschild black hole, the discrete spectrum implies Bekenstein area quantiz...
1993-07-08
2007-05-23
[ "hep-th" ]
Yoav Peleg
hep-th/9307053
Light-Cone Quantisation of Matrix Models at c>1
The technique of (discretised) light-cone quantisation, as applied to matrix models of relativistic strings, is reviewed. The case of the c=2 non-critical bosonic string is discussed in some detail to clarify the nature of the continuum limit. Futher applications for the technique are then outlined. (To appear in proce...
1993-07-08
2007-05-23
[ "hep-th" ]
S.Dalley
hep-th/9307054
Higher Order Calculations in Renormalization Group Approach to Matrix Models
We study higher order approximations in the renormalization group approach to matrix models. We use constraint equations on the free energy resulting from a freedom of field redefinitionsand obtain the effective beta function for a single coupling constant to the fifth order. The fixed point and the string susceptibili...
1993-07-08
2015-06-26
[ "hep-th" ]
Yukihisa Itoh
hep-th/9307056
Dilogarithm identities, fusion rules and structure constants of CFTs
Recently dilogarithm identities have made their appearance in the physics literature. These identities seem to allow to calculate structure constants like, in particular, the effective central charge of certain conformal field theories from their fusion rules. In Nahm, Recknagel, Terhoeven (1992) a proof of identities ...
1993-07-08
2009-10-22
[ "hep-th", "math.CA", "math.QA" ]
Michael Terhoeven
hep-th/9307055
Loop Integrals, R Functions and their Analytic Continuation
To entirely determine the resulting functions of one-loop integrals it is necessary to find the correct analytic continuation to all relevant kinematical regions. We argue that this continuation procedure may be performed in a general and mathematical accurate way by using the ${\cal R}$ function notation of these inte...
1993-07-08
2015-06-26
[ "hep-th" ]
L. Bruecher, J. Franzkowski, D. Kreimer
hep-th/9307058
Kac-Moody Algebras and String Theory (THESIS)
The focus of this thesis is on (1) the role of Ka\v c-Moody (KM) algebras in string theory and the development of techniques for systematically building string theory models based on higher level ($K\geq 2$) KM algebras and (2) fractional superstrings. In chapter two we review KM algebras and their role in string theor...
1993-07-08
2008-02-03
[ "hep-th" ]
Gerald B. Cleaver
hep-th/9307050
Axionic Defect Anomalies and their Cancellation
We present a simple derivation of the Callan-Harvey-Naculich effect, {\it i.e.} the compensation of charge violation on axion strings due to gauge anomalies by accretion of charge onto the string from the surrounding space. We then show, in the case of axion fields without a potential, that an alternative explanation i...
1993-07-07
2010-01-07
[ "hep-th" ]
J.M. Izquierdo and P.K. Townsend