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hep-th/9412052
Non-Equilibrium Dynamics of Phase Transitions: From the Early Universe to Chiral Condensates
In this brief review we introduce the methods of quantum field theory out of equilibrium and study the non-equilibrium aspects of phase transitions. Specifically we critically study the picture of the ``slow-roll'' phase transition in the new inflationary models, we show that the instabilities that are the hallmark of ...
1994-12-06
2009-09-25
[ "hep-th", "hep-ph" ]
D. Boyanovsky, H.J. de Vega, R. Holman
hep-th/9412055
Casimir Forces between Beads on Strings and Membranes
We develop a general formalism to calculate the force between beads attached to a flat $d$-dimensional membrane due to the quantum fluctuations of the membrane. The interaction potential is derived as a function of $d$ and the membrane energy density, tension, stiffness and temperature. We find that the induced interac...
1994-12-06
2009-10-28
[ "hep-th", "cond-mat" ]
Eric D'Hoker, Pierre Sikivie and Youli Kanev
hep-th/9412047
Quantum computation and complexity theory
The Hilbert space formalism of quantum mechanics is reviewed with emphasis on applications to quantum computing. Standard interferomeric techniques are used to construct a physical device capable of universal quantum computation. Some consequences for recursion theory and complexity theory are discussed.
1994-12-06
2007-05-23
[ "hep-th", "quant-ph" ]
K. Svozil
hep-th/9412056
On quantum group SL_q(2)
We start with the observation that the quantum group SL_q(2), described in terms of its algebra of functions has a quantum subgroup, which is just a usual Cartan group. Based on this observation we develop a general method of constructing quantum groups with similar property. We also describe this method in the langu...
1994-12-06
2009-10-28
[ "hep-th", "math.QA", "q-alg" ]
Joseph Bernstein, Tanya Khovanova
hep-th/9412048
The diagonalization method in quantum recursion theory
As quantum parallelism allows the effective co-representation of classical mutually exclusive states, the diagonalization method of classical recursion theory has to be modified. Quantum diagonalization involves unitary operators whose eigenvalues are different from one.
1994-12-06
2010-04-14
[ "hep-th", "quant-ph" ]
Karl Svozil
hep-th/9412040
Analytic Structure of Amplitudes in Gauge Theories with Confinement
For gauge theories with confinement, the analytic structure of amplitudes is explored. It is shown that the analytic properties of physical amplitudes are the same as those obtained on the basis of an effective theory involving only the composite, physical fields. The corresponding proofs of dispersion relations remain...
1994-12-05
2011-04-15
[ "hep-th", "hep-ph" ]
Reinhard Oehme
hep-th/9412036
Generalised Moonshine and Abelian Orbifold Constructions
We consider the application of Abelian orbifold constructions in Meromorphic Conformal Field Theory (MCFT) towards an understanding of various aspects of Monstrous Moonshine and Generalised Moonshine. We review some of the basic concepts in MCFT and Abelian orbifold constructions of MCFTs and summarise some of the rele...
1994-12-05
2008-02-03
[ "hep-th", "math.QA", "q-alg" ]
Michael P. Tuite
hep-th/9412042
Renormalization group and continuum limit in Quantum Mechanics
The running coupling constants are introduced in Quantum Mechanics and their evolution is described by the help of the renormalization group equation.
1994-12-05
2009-10-28
[ "hep-th" ]
Janos Polonyi
hep-th/9412037
On quantum Galois theory
For a simple vertex operator algebra $V$ and a finite automorphism group $G$ of $V$ then $V$ is a direct sum of $V^{\chi}$ where $\chi$ are irreducible character of $G$ and $V^{\chi}$ is the subspace of $V$ which $G$ acts according to the character $\chi.$ We prove the following: 1. Each $V^{\chi}$ is nonzero. 2. $V^{\...
1994-12-05
2008-02-03
[ "hep-th", "math.QA", "q-alg" ]
Chongying Dong and Geoffrey Mason
hep-th/9412038
Induced modules for vertex operator algebras
For a vertex operator algebra $V$ and a vertex operator subalgebra $V'$ which is invarinant under an automorphism $g$ of $V$ of finite order, we introduce a $g$-twisted induction functor from the category of $g$-twisted $V'$-modules to the category of $g$-twisted $V$-modules. This functor satisfies the Frobenius recipr...
1994-12-05
2008-02-03
[ "hep-th", "math.QA", "q-alg" ]
Chongying Dong and Zongzhu Lin
hep-th/9412030
Continued Fractions and Fermionic Representations for Characters of M(p,p') minimal models
We present fermionic sum representations of the characters $\chi^{(p,p')}_{r,s}$ of the minimal $M(p,p')$ models for all relatively prime integers $p'>p$ for some allowed values of $r$ and $s$. Our starting point is binomial (q-binomial) identities derived from a truncation of the state counting equations of the XXZ sp...
1994-12-05
2009-10-28
[ "hep-th" ]
Alexander Berkovich and Barry M. McCoy
hep-th/9412035
Perturbative Calculations in the Effective Lagrangian and $2D$ Closed String Field Theory
This paper is devoted to the study of closed string field theory in two dimensions. We compare two different approaches: BRST closed string field theory and the string effective Lagrangian. We show that the quadratic action and the pole structures of tree-level scattering amplitudes agree. We study merits and drawbacks...
1994-12-05
2009-10-28
[ "hep-th" ]
Julian Lee, Branko Urosevic
hep-th/9412041
Finite particle creation in 3+1 de Sitter space
In this paper we calculate the particle creation as seen by a stationary observer in 3+1 de Sitter space. This particle creation is calculated using an observer dependent geometrically based definition of time which is used to quantize a field on two different spacelike surfaces. The Bogolubov transformation relating t...
1994-12-05
2015-06-26
[ "hep-th", "gr-qc" ]
D.J. Lamb, A.Z. Capri and M. Kobayashi
hep-th/9412039
Integrability Test for Spin Chains
We examine a simple heuristic test of integrability for quantum chains. This test is applied to a variety of systems, including a generic isotropic spin-1 model with nearest-neighbor interactions and a multiparameter family of spin-1/2 models generalizing the XYZ chain, with next-to-nearest neighbor interactions and bo...
1994-12-05
2009-10-28
[ "hep-th", "cond-mat" ]
M. P. Grabowski and P. Mathieu
hep-th/9412033
Landau-Ginzburg orbifolds with discrete torsion
We complete the classification of (2,2) vacua that can be constructed from Landau--Ginzburg models by abelian twists with arbitrary discrete torsions. Compared to the case without torsion the number of new spectra is surprisingly small. In contrast to a popular expectation mirror symmetry does not seem to be related to...
1994-12-05
2009-10-28
[ "hep-th" ]
M. Kreuzer, H. Skarke
hep-th/9412029
A Triangular Deformation of the two Dimensional Poincare Algebra
Contracting the $h$-deformation of $\SL(2,\Real)$, we construct a new deformation of two dimensional Poincar\'e algebra, the algebra of functions on its group and its differential structure. It is also shown that the Hopf algebra is triangular, and its universal R matrix is also constructed explicitly. Then, we find a ...
1994-12-04
2009-10-28
[ "hep-th", "math.QA", "q-alg" ]
M. Khorrami, A. Shariati, M. Abolhassani, A. Aghamohammadi
hep-th/9412031
Quantum symmetric spaces
Let $G$ be a semisimple Lie group, ${\frak g}$ its Lie algebra. For any symmetric space $M$ over $G$ we construct a new (deformed) multiplication in the space $A$ of smooth functions on $M$. This multiplication is invariant under the action of the Drinfeld--Jimbo quantum group $U_h{\frak g}$ and is commutative with res...
1994-12-04
2008-02-03
[ "hep-th", "math.QA", "q-alg" ]
J. Donin and S. Shnider
hep-th/9412028
Pseudoscalar and vector correlations in instanton vacuum model
It is shown, that the correct account of quark interaction generated by instanton medium gives the possibility of description on the same ground of both pseudoscalar channel and low lying bound states in the vector channel. It must be noted, that all calculations are made in the approximation, taking into account only ...
1994-12-03
2007-05-23
[ "hep-th" ]
S.V. Esaibegyan, S.N. Tamaryan
hep-th/9412027
On the Entropy of Quantum Fields in Black Hole Backgrounds
We show that the partition function for a scalar field in a static spacetime background can be expressed as a functional integral in the corresponding optical space, and point out that the difference between this and the functional integral in the original metric is a Liouville type action. A general formula for the fr...
1994-12-03
2008-02-03
[ "hep-th", "gr-qc" ]
S. P. de Alwis and N. Ohta
hep-th/9412032
Manifest supersymmetry and the ADHM construction of instantons
We present the (0,4) superspace version of Witten's sigma model construction for ADHM instantons. We use the harmonic superspace formalism, which exploits the three complex structures common to both (0,4) supersymmetry and self-dual Yang-Mills theory. A novel feature of the superspace formulation is the manifest interp...
1994-12-03
2009-10-28
[ "hep-th" ]
A. Galperin, E. Sokatchev
hep-th/9412017
Laughlin states on the sphere as representations of Uq(sl(2))
We discuss quantum algebraic structures of the systems of electrons or quasiparticles on a sphere of which center a magnetic monople is located on. We verify that the deformation parameter is related to the filling ratio of the particles in each case.
1994-12-02
2009-10-28
[ "hep-th", "alg-geom", "math.AG" ]
N. Aizawa, S. Sachse, H-T. Sato
hep-th/9412018
Gauge Theories in a Bag
We investigate multi-flavour gauge theories confined in $d\es 2n$-dimensional Euclidean bags. The boundary conditions for the 'quarks' break the axial flavour symmetry and depend on a parameter $\theta$. We determine the $\theta$-dependence of the fermionic correlators and determinants and find that a $CP$-breaking $\t...
1994-12-02
2009-10-28
[ "hep-th" ]
A. Wipf and S. Duerr
hep-th/9412016
Coordinate System In Quantum Gravity
We discuss a Gedanken experiment in which we construct a physical coordinate system which covers the universe. Using general properties of quantum gravity we find that the minimum uncertainty of the coordinate system is $\sqrt[5]{R}$ where $R$ is the radius of the universe
1994-12-02
2007-05-23
[ "hep-th", "gr-qc" ]
N.Itzhaki
hep-th/9412024
2d Gravity Coupled to Topological Minimal Models
We discuss the properties of the large phase space of the genus-0 topological minimal $A_{k + 1}$ model coupled to 2d topological gravity. The minimal action is perturbed by adding all possible gravitational descendants with non-trivial couplings which form the infinite-dimensional large phase space. Some general ident...
1994-12-02
2015-06-26
[ "hep-th" ]
A. Mukherjee
hep-th/9412021
Collinear Asymptotic Dynamics for Massive Particles. Reggeization and Eikonalization
The dynamics of massive particles in the collinear high momentum regime is investigated. Methods hitherto exploiting large time asymptotic Hamiltonians in the Dirac picture for the treatment of infrared divergences are adapted to the collinear asymptotic dynamics. The essential role of time ordering of the dressing ope...
1994-12-02
2007-05-23
[ "hep-th" ]
J. Boguszynski, H. D. Dahmen, R. Kretschmer, L.Lukaszuk, L. Szymanowski 11 pages in Latex, SI 94-15
hep-th/9412014
Entropy of Extremal Black Holes in Two Dimensions
Entropy for two dimensional extremal black holes is computed explicitly in a finite-space formulation of the black hole thermodynamics and is shown to be zero {\it locally}. Our results are in conformity with the recent one by Hawking et al in four dimensions.
1994-12-02
2009-10-28
[ "hep-th" ]
Alok Kumar and Koushik Ray
hep-th/9412013
Cyclic Quantum Dilogarithm and Shift Operator
{}From the cyclic quantum dilogarithm the shift operator is constructed with $q$ is a root of unit and the representation is given for the current algebra introduced by Faddeev $et ~al$. It is shown that the theta-function is factorizable also in this case by using the star-square equation of the Baxter-Bazhanov model.
1994-12-02
2007-05-23
[ "hep-th" ]
Zhan-Ning Hu and Bo-Yu Hou
hep-th/9412026
Planckian Scattering of Non-abelian Gauge Particles
We present a systematic study of high energy scattering of non-abelian gauge particles in (3+1) dimensional Einstein gravity using semi-classical techniques of Verlinde and Verlinde. It is shown that the BRST gauge invariance of the Yang-Mills action in presence of quantum gravity at Planckian energy regime is maintain...
1994-12-02
2010-11-01
[ "hep-th" ]
Supriya Kar and Jnanadeva Maharana
hep-th/9412012
The Itzykson-Zuber Integral for U(m|n)
We compute the Itzykson-Zuber (IZ) integral for the superunitary group U(m|n). As a consequence, we are able to find the non-zero correlations of superunitary matrices
1994-12-02
2009-10-28
[ "hep-th" ]
Jorge Alfaro, Ricardo Medina and Luis F. Urrutia
hep-th/9412022
Interacting anyons and the Darwin Lagrangian
We propose a new model for interacting (electrically charged) anyons, where the 2+1-dimensional Darwin term is responsible for interactions. The Hamiltonian is comparable with the one used previously (in the RPA calculation).
1994-12-02
2009-10-28
[ "hep-th" ]
N. Banerjee and Subir Ghosh
hep-th/9412025
On Algebraic Structures Implicit in Topological Quantum Field Theories
We show that reasonably well behaved 3d and 4D TQFts must contain certain algebraic structures. In 4D, we find both Hopf categories and trialgebras.
1994-12-02
2008-02-03
[ "hep-th", "math.QA", "q-alg" ]
L. Crane and D. Yetter
hep-th/9412023
On the Characterization of Classical Dynamical Systems Using Supersymmetric Nonlinear $\sigma$-models
We construct a two dimensional nonlinear $\sigma$-model that describes the Hamiltonian flow in the loop space of a classical dynamical system. This model is obtained by equivariantizing the standard N=1 supersymmetric nonlinear $\sigma$-model by the Hamiltonian flow. We use localization methods to evaluate the correspo...
1994-12-02
2008-02-03
[ "hep-th" ]
A.J. Niemi and K. Palo
hep-th/9412020
On one-loop renormalization of black-hole entropy
One-loop divergences appearing in the entropy of a quantum black hole are proven to be completely eliminated by the standard renormalization of both the gravitational constant and other coefficients by the $R^2$-terms in the effective gravitational action. The essential point of the proof is that due to the higher orde...
1994-12-02
2009-10-28
[ "hep-th" ]
Dmitri V. Fursaev and Sergey N. Solodukhin
hep-th/9412019
Interacting open p-branes
The Kalb-Ramond action, derived for interacting strings through an action-at-a-distance force, is generalized to the case of interacting p-dimensional objects (p-branes) in D-dimensional space-time. The open p-brane version of the theory is especially taken up. On account of the existence of their boundary surface, the...
1994-12-02
2015-06-26
[ "hep-th" ]
Sumio Ishikawa, Yasuhiro Iwama, Tadashi Miyazaki and Motowo Yamanobe
hep-th/9412015
Some Interesting Properties of Field theories with an Infinite Number of Fields
We give an indication that gravity coupled to an infinite number of fields might be a renormalizable theory. A toy model with an infinite number of interacting fermions in four-dimentional space-time is analyzed. The model is finite at any order in perturbation theory. However, perturbation theory is valid only for ext...
1994-12-02
2009-10-28
[ "hep-th" ]
N.Itzhaki
hep-th/9412005
Dressing Technique for Intermediate Hierarchies
A generalized AKNS systems introduced and discussed recently in \cite{dGHM} are considered. It was shown that the dressing technique both in matrix pseudo-differential operators and formal series with respect to the spectral parameter can be developed for these hierarchies.
1994-12-01
2009-10-28
[ "hep-th" ]
P. Holod and S. Pakuliak
hep-th/9412002
Null Killing Vector Dimensional Reduction and Galilean Geometrodynamics
The solutions of Einstein's equations admitting one non-null Killing vector field are best studied with the projection formalism of Geroch. When the Killing vector is lightlike, the projection onto the orbit space still exists and one expects a covariant theory with degenerate contravariant metric to appear, its geomet...
1994-12-01
2009-10-28
[ "hep-th", "gr-qc" ]
B. Julia (ENS, Paris) and H. Nicolai (Hamburg University)
hep-th/9412008
N=2 structures on solvable Lie algebras: the c=9 classification
Let G be a finite-dimensional Lie algebra (not necessarily semisimple). It is known that if G is self-dual (that is, if it possesses an invariant metric) then there is a canonical N=1 superconformal algebra associated to its N=1 affinization---that is, it admits an N=1 (affine) Sugawara construction. Under certain addi...
1994-12-01
2009-10-28
[ "hep-th" ]
J.M. Figueroa-O'Farrill
hep-th/9412009
Quasi-Galois Symmetries of the Modular S-Matrix
The recently introduced Galois symmetries of RCFT are generalized, for the WZW case, to `quasi-Galois symmetries'. These symmetries can be used to derive a large number of equalities and sum rules for entries of the modular matrix S, including some that previously had been observed empirically. In addition, quasi-Galoi...
1994-12-01
2015-06-26
[ "hep-th" ]
J. Fuchs, A.N. Schellekens, and C. Schweigert
hep-th/9412003
Remarks on the Atick-Witten behavior and strings near black hole horizons
We present arguments pointing to a behavior of the string free energy in the presence of a black hole horizon similar to the Atick-Witten dependence on temperature beyond the Hagedorn transition. We give some evidence based on orbifold techniques applied to Rindler space and further support is found within a Hamiltonia...
1994-12-01
2016-09-06
[ "hep-th" ]
R. Emparan
hep-th/9412010
Finite particle creation in 1+1 dim. compact in space
In this paper we calculate the massive particle creation as seen by a stationary observer in a $1+1$ dimensional spacetime compact in space. The Bogolubov transformation relating the annihilation and creation operators between two spacelike surfaces is calculated. The particle creation, as observed by a stationary obse...
1994-12-01
2010-04-06
[ "hep-th", "gr-qc" ]
D.J. Lamb and A.Z. Capri
hep-th/9412011
Super Multi-Instantons in Conformal Chiral Superspace
We reformulate self-dual supersymmetric theories directly in conformal chiral superspace, where superconformal invariance is manifest. The superspace can be interpreted as the generalization of the usual Atiyah-Drinfel'd-Hitchin-Manin twistors (the quaternionic projective line), the real projective light-cone in six di...
1994-12-01
2009-10-28
[ "hep-th" ]
W. Siegel
hep-th/9412004
Topological Massive Sigma Models
In this paper we construct topological sigma models which include a potential and are related to twisted massive supersymmetric sigma models. Contrary to a previous construction these models have no central charge and do not require the manifold to admit a Killing vector. We use the topological massive sigma model cons...
1994-12-01
2009-10-28
[ "hep-th" ]
N.D. Lambert
hep-th/9412007
Some Quantum Aspects of Complex Vector Fields with Chern-Simons Term
Complex vector fields with Maxwell, Chern-Simons and Proca terms are minimally coupled to an Abelian gauge field. The consistency of the spectrum is analysed and 1-loop quantum corrections to the self-energy are explicitly computed and discussed. The incorporation of 2-loop contributions and the behaviour of tree-level...
1994-12-01
2009-10-28
[ "hep-th" ]
O.M. Del Cima and F.A.B. Rabelo de Carvalho
hep-th/9411242
On Conformal Properties of the Dualized Sigma-Models
We have calculated the first-order beta-functions for a sigma-model ( with dilaton) dualized with respect to an arbitrary Lie group that acts without isotropy. We find that non-abelian duality preserves conformal invariance for semi-simple groups, but in general there is an extra contribution to the beta-function propo...
1994-12-01
2009-10-28
[ "hep-th" ]
Eugene Tyurin
hep-th/9412001
Asymptotics of Expansion of the Evolution Operator Kernel in Powers of Time Interval $\Delta t$
The upper bound for asymptotic behavior of the coefficients of expansion of the evolution operator kernel in powers of the time interval $\Dt$ was obtained. It is found that for the nonpolynomial potentials the coefficients may increase as $n!$. But increasing may be more slow if the contributions with opposite signs c...
1994-12-01
2009-10-28
[ "hep-th" ]
V. A. Slobodenyuk
hep-th/9412006
Exact Correlators of Two-Matrix Models
We compute exact solutions of two--matrix models, i.e. detailed genus by genus expressions for the correlation functions of these theories, calculated without any approximation. We distinguish between two types of models, the unconstrained and the constrained ones. Unconstrained two--matrix models represent perturbatio...
1994-12-01
2009-10-28
[ "hep-th" ]
L.Bonora, C.P.Constantinidis, C.S.Xiong
hep-th/9411241
Solutions of the Yang-Baxter Equation with Extra Non-Additive Parameters II: $U_q(gl(m|n))$}
The type-I quantum superalgebras are known to admit non-trivial one-parameter families of inequivalent finite dimensional irreps, even for generic $q$. We apply the recently developed technique to construct new solutions to the quantum Yang-Baxter equation associated with the one-parameter family of irreps of $U_q(gl(m...
1994-12-01
2009-10-28
[ "hep-th", "math.QA", "q-alg" ]
Gustav W. Delius, Mark D. Gould, Jon R. Links and Yao-Zhong Zhang
hep-th/9411243
Representations of Super Yangian
We present in detail the classification of the finite dimensional irreducible representations of the super Yangian associated with the Lie superalgebra $gl(1|1)$.
1994-12-01
2009-10-28
[ "hep-th" ]
R. B. Zhang
hep-th/9411239
Dynamical Chiral Symmetry Breaking, Goldstone's Theorem and the Consistency of the Schwinger--Dyson and Bethe--Salpeter Equations
A proof of Goldstone's theorem is given for the case in which global chiral symmetry is dynamically broken. The proof highlights a needed consistency between the exact Schwinger--Dyson equation for the fermion propagator and the exact Bethe--Salpeter equation for fermion--antifermion bound states. A criterion, based on...
1994-11-30
2011-07-19
[ "hep-th", "hep-ph" ]
H.J. Munczek
hep-th/9411226
Critical Temperature and Amplitude Ratios from a Finite-Temperature Renormalization Group
We study $\l\f^4$ theory using an environmentally friendly finite-temperature renormalization group. We derive flow equations, using a fiducial temperature as flow parameter, develop them perturbatively in an expansion free from ultraviolet and infrared divergences, then integrate them numerically from zero to temperat...
1994-11-30
2015-06-26
[ "hep-th", "cond-mat" ]
M.A. van Eijck, Denjoe O'Connor and C.R. Stephens
hep-th/9411237
Discrete spectral shift in an anisotropic universe
In this paper we calculate the particle creation as seen by a stationary observer in an anisotropic universe. By using an observer and geometry dependent time to quantise a massive scalar field we show that a discrete energy spectrum shift occurs. The length scale associated with the geometry provides the energy scale ...
1994-11-30
2009-10-28
[ "hep-th", "gr-qc" ]
D.J.Lamb, A.Z.Capri and M. Kobayashi
hep-th/9411236
Exclusion statistics and many-particle states
The thermodynamic distribution function for exclusion statistics is derived. Creation and annihilation operators for particles obeying such statistics are discussed. A connection with anyons is pointed out.
1994-11-30
2007-05-23
[ "hep-th", "cond-mat" ]
P. Mitra
hep-th/9411235
Covariant Duality Symmetric Actions
A manifestly Lorentz and diffeomorphism invariant form for the abelian gauge field action with local duality symmetry of Schwarz and Sen is given. Some of the underlying symmetries of the covariant action are further considered. The Noether conserved charge under continuous local duality rotations is found. The covaria...
1994-11-30
2009-10-28
[ "hep-th" ]
A. Khoudeir and N. Pantoja
hep-th/9411233
Oscar Klein and Gauge Theory
In this talk, delivered at the Oscar Klein Centenary Symposium in Stockholm, I review the 1938 conference held in Warsaw devoted to \lq \lq New Theories in Physics". I review all of the talks presented at this meeting and discuss in detail Klein's paper where he proposed a unified model of electromagnetism and the nucl...
1994-11-30
2007-05-23
[ "hep-th" ]
David J. Gross (Princeton University)
hep-th/9411240
Integrable Systems with Pairwise Interactions and Functional Equations
A new ansatz is presented for a Lax pair describing systems of particles on the line interacting via (possibly nonsymmetric) pairwise forces. Particular cases of this yield the known Lax pairs for the Calogero-Moser and Toda systems, as well as their relativistic generalisations. The ansatz leads to a system of functio...
1994-11-30
2008-02-03
[ "hep-th" ]
H. W. Braden, V. M. Buchstaber
hep-th/9411230
Tachyonic neutrinos?
It is shown that tachyons are associated with unitary representations of Poincare mappings induced from SO(2) little group instead of SO(2,1) one. This allows us to treat more seriously possibility that neutrinos are fermionic tachyons according to the present experimental data.
1994-11-30
2008-02-03
[ "hep-th", "astro-ph", "gr-qc", "hep-ph" ]
J. Rembielinski
hep-th/9411234
Arithmetic Properties of Mirror Map and Quantum Coupling
We study some arithmetic properties of the mirror maps and the quantum Yukawa coupling for some 1-parameter deformations of Calabi-Yau manifolds. First we use the Schwarzian differential equation, which we derived previously, to characterize the mirror map in each case. For algebraic K3 surfaces, we solve the equation ...
1994-11-30
2009-10-28
[ "hep-th", "alg-geom", "math.AG" ]
Bong H. Lian and Shing-Tung Yau
hep-th/9411229
The generalized chiral Schwinger model on the two-sphere
A family of theories which interpolate between vector and chiral Schwinger models is studied on the two--sphere $S^{2}$. The conflict between the loss of gauge invariance and global geometrical properties is solved by introducing a fixed background connection. In this way the generalized Dirac--Weyl operator can be glo...
1994-11-30
2009-10-28
[ "hep-th" ]
A. Bassetto and L. Griguolo
hep-th/9411227
Indications for Gluon Condensation from Nonperturbative Flow Equations
We employ nonperturbative flow equations for the description of the effective action in Yang-Mills theories. We find that the perturbative vacuum with vanishing gauge field strength does not correspond to the minimum of the Euclidean effective action. The true ground state is characterized by a nonvanishing gluon conde...
1994-11-30
2008-02-03
[ "hep-th" ]
M. Reuter, C. Wetterich
hep-th/9411238
The $\zeta$-function answer to parity violation in three dimensional gauge theories
We study parity violation in $2+1$-dimensional gauge theories coupled to massive fermions. Using the $\zeta$-function regularization approach we evaluate the ground state fermion current in an arbitrary gauge field background, showing that it gets two different contributions which violate parity invariance and induce a...
1994-11-30
2015-06-26
[ "hep-th" ]
R.E.Gamboa Saravi, G.L.Rossini and F.A.Schaposnik
hep-th/9411228
Lattice Regularization of Gauge Theories Without Loss of Chiral Symmetry
A lattice regularization procedure for gauge theories is proposed in which fermions are given a special treatment such that all chiral flavor symmetries that are free of Adler-Bell-Jackiw anomalies are kept intact. There is no doubling of fermionic degrees of freedom. A price paid for this feature is that the number of...
1994-11-30
2009-10-28
[ "hep-th", "hep-lat", "hep-ph" ]
G. 't Hooft (Institute for Theoretical Physics, Utrecht University)
hep-th/9411232
On Field Theories of Loops
We apply stochastic quantization method to matrix models for the second quantization of loops in both discretized and continuum levels. The fictitious time evolution described by the Langevin equation is interpreted as the time evolution in a field theory of loops. The corresponding Fokker-Planck hamiltonian defines a ...
1994-11-30
2009-10-28
[ "hep-th" ]
N. Nakazawa
hep-th/9411231
Transonic Elastic Model for Wiggly Goto-Nambu String
The hitherto controversial proposition that a ``wiggly" Goto-Nambu cosmic string can be effectively represented by an elastic string model of exactly transonic type (with energy density $U$ inversely proportional to its tension $T$) is shown to have a firm mathematical basis.
1994-11-30
2009-10-28
[ "hep-th", "astro-ph", "gr-qc", "hep-ph" ]
Brandon Carter
hep-th/9411211
Asymptotics of Solutions of the Discrete String Equation
The main subject of the paper is the so-called Discrete Painlev\'e-1 Equation (DP1). Solutions of DP1 are classified under criterion of their behavior while argument tends to infinity. The Isomonodromic Deformations Method yields asymptotic formulae for regular solutions of DP1. DP1 is an integrable system, what allows...
1994-11-29
2008-02-03
[ "hep-th" ]
V.L.Vereschagin
hep-th/9411208
Models for Operads
We study properties of differential graded (dg) operads modulo weak equivalences, that is, modulo the relation given by the existence of a chain of dg operad maps inducing a homology isomorphism. This approach, naturally arising in string theory, leads us to consider various versions of models. Besides of some applicat...
1994-11-29
2008-02-03
[ "hep-th", "math.QA", "q-alg" ]
Martin Markl
hep-th/9411217
Classical Solutions of 2D String Theory in any Curved Spacetime
The complete set of solutions of two dimensional classical string theory are constructed for any curved spacetime. They describe folded strings moving in curved spacetime. Surprizing stringy behavior becomes evident at singularities such as black holes.The solutions are given in the form ofa map from the world sheet to...
1994-11-29
2007-05-23
[ "hep-th" ]
Itzhak Bars
hep-th/9411218
The symmetry algebra of the N-dimensional anisotropic quantum harmonic oscillator with rational ratios of frequencies and the Nilsson model
The symmetry algebra of the N-dimensional anisotropic quantum harmonic oscillator with rational ratios of frequencies is constructed by a method of general applicability to quantum superintegrable systems. The special case of the 3-dim oscillator is studied in more detail, because of its relevance in the description of...
1994-11-29
2007-05-23
[ "hep-th" ]
Dennis Bonatsos, C. Daskaloyannis, P. Kolokotronis, D. Lenis
hep-th/9411223
Gauge Field Theories on Riemann Surfaces
In this paper the free gauge field theories on a Riemann surface of any genus are quantized in the covariant gauge. The propagators of the gauge fields are explicitly derived and their properties are analysed in details. As an application, the correlation functions of a Yang-Mills field theory with gauge group $SU(N)$ ...
1994-11-29
2014-11-18
[ "hep-th" ]
Franco Ferrari
hep-th/9411225
Massive particle creation in a static 1+1 dimensional spacetime
We show explicitly that there is particle creation in a static spacetime. This is done by studying the field in a coordinate system based on a physical principle which has recently been proposed. There the field is quantized by decomposing it into positive and negative frequency modes on a particular spacelike surface....
1994-11-29
2015-06-26
[ "hep-th", "gr-qc" ]
D.J.Lamb, A.Z.Capri and S.M. Roy
hep-th/9411222
The All-Genus String Effective Action
We use the off-shell string effective action method developed by E.S. Fradkin and A.A. Tseytlin to obtain the formula for all-genus string effective action with and without compactification at the low-energy approximation in the massless background fields. We find that for the bosonic string, one can determine the dila...
1994-11-29
2007-05-23
[ "hep-th" ]
Rulin Xiu
hep-th/9411209
Irrational Conformal Field Theory on the Sphere and the Torus
I review the foundations of irrational conformal field theory (ICFT), which includes rational conformal field theory as a small subspace. Highlights of the review include the Virasoro master equation and the generalized Knizhnik-Zamolodchikov equations for the correlators of ICFT on the sphere and the torus.
1994-11-29
2008-02-03
[ "hep-th" ]
M.B. Halpern
hep-th/9411212
Relativistic Elastomechanics is a Gauge--Type Theory
A new approach to relativistic elasticity theory is proposed. In this approach the theory becomes a gauge--type theory, with the diffeomorphisms of the material space playing the role of gauge transformations. The dynamics of the elastic material is expressed in terms of three independent, hyperbolic, second order part...
1994-11-29
2007-05-23
[ "hep-th" ]
Jerzy Kijowski
hep-th/9411213
$W_\infty$ Algebra and Geometric Formulation of QCD$_2$
We review the gauge invariant formulation of 2-dim. QCD. We show that the non-linear gauge invariant phase space is the coset $W_\infty/W_{+\infty}\times W_{-\infty}$ ,which is specified by the $N=\infty$ master-field of this model. The meson fields correspond to the local coordinates of the coset. We comment on the st...
1994-11-29
2007-05-23
[ "hep-th" ]
Spenta R. Wadia
hep-th/9411221
On the Lagrangian Realization of Non-Critical ${\cal W}$-Strings
A large class of non-critical string theories with extended worldsheet gauge symmetry are described by two coupled, gauged Wess-Zumino-Witten Models. We give a detailed analysis of the gauge invariant action and in particular the gauge fixing procedure and the resulting BRST symmetries. The results are applied to the e...
1994-11-29
2016-08-24
[ "hep-th" ]
Alex Deckmyn, Ruud Siebelink, Walter Troost and Alexander Sevrin
hep-th/9411214
The heat kernel for deformed spheres
We derive the asymptotic expansion of the heat kernel for a Laplace operator acting on deformed spheres. We calculate the coefficients of the heat kernel expansion on two- and three-dimensional deformed spheres as functions of deformation parameters. We find that under some deformation the conformal anomaly for free sc...
1994-11-29
2009-10-28
[ "hep-th" ]
N. Shtykov and D.V.Vassilevich
hep-th/9411219
Effect of Self-Interaction on Charged Black Hole Radiance
We extend our previous analysis of the modification of the spectrum of black hole radiance due to the simplest and probably most quantitatively important back-reaction effect, that is self-gravitational interaction, to the case of charged holes. As anticipated, the corrections are small for low-energy radiation when th...
1994-11-29
2010-04-06
[ "hep-th", "gr-qc" ]
Per Kraus and Frank Wilczek
hep-th/9411216
Higher Derivative Four-Fermion Model in Curved Spacetime
We discuss the phase structure of a higher derivative four-fermion model in four dimensions in curved spacetime in frames of the $\frac{1}{N_c}$-expansion. First, we evaluate in our model the effective potential of two composite scalars in the linear curvature approximation using a local momentum representation in curv...
1994-11-29
2009-09-25
[ "hep-th" ]
E. Elizalde, S. Leseduarte and S.D. Odintsov
hep-th/9411224
Canonical Quantization of the Maxwell-Chern-Simons Theory in the Coulomb Gauge
The Maxwell-Chern-Simons theory is canonically quantized in the Coulomb gauge by using the Dirac bracket quantization procedure. The determination of the Coulomb gauge polarization vector turns out to be intrincate. A set of quantum Poincar\'e densities obeying the Dirac-Schwinger algebra, and, therefore, free of anoma...
1994-11-29
2015-06-26
[ "hep-th" ]
F. P. Devecchi, M. Fleck, H. O. Girotti (UFRGS-Brasil), M. Gomes and A. J. da Silva (USP-Brasil)
hep-th/9411220
Chern-Simons and WZNW Theories and the Quark-Gluon Plasma
Summation over hard thermal loops, by themselves and as insertions in higher order Feynman diagrams, is important in thermal perturbation theory for Quantum Chromodynamics, so that all contributions of a given order in the coupling constant can be consistently taken into account. I review some of the basic properties o...
1994-11-29
2007-05-23
[ "hep-th" ]
V.P. Nair
hep-th/9411215
Fixed points, saddle points and universality
It is pointed out that the universality might seriously be violated by models with several fixed points.
1994-11-29
2007-05-23
[ "hep-th" ]
Janos Polonyi
hep-th/9411206
Nodes as Composite Operators in Matrix Models
Riemann surfaces with nodes can be described by introducing simple composite operators in matrix models. In the case of the Kontsevich model, it is sufficient to add the quadratic, but ``non-propagating'', term (tr[X])^2 to the Lagrangian. The corresponding Jenkins-Strebel differentials have pairwise identified simple ...
1994-11-28
2010-04-06
[ "hep-th" ]
Damiano Anselmi
hep-th/9411205
Gauged Hyperinstantons and Monopole Equations
The monopole equations in the dual abelian theory of the N=2 gauge-theory, recently proposed by Witten as a new tool to study topological invariants, are shown to be the simplest elements in a class of instanton equations that follow from the improved topological twist mechanism introduced by the authors in previous pa...
1994-11-28
2009-10-28
[ "hep-th" ]
Damiano Anselmi and Pietro Fre'
hep-th/9411202
Conserved currents and gauge invariance in Yang-Mills theory
It is shown that in the absence of free abelian gauge fields, the conserved currents of (classical) Yang-Mills gauge models coupled to matter fields can be always redefined so as to be gauge invariant. This is a direct consequence of the general analysis of the Wess-Zumino consistency condition for Yang-Mills theory th...
1994-11-28
2009-10-28
[ "hep-th" ]
Glenn Barnich, Friedemann Brandt and Marc Henneaux
hep-th/9411203
ADE functional dilogarithm identities and integrable models
We describe a new infinite family of multi-parameter functional equations for the Rogers dilogarithm, generalizing Abel's and Euler's formulas. They are suggested by the Thermodynamic Bethe Ansatz approach to the Renormalization Group flow of 2D integrable, ADE-related quantum field theories. The known sum rules for th...
1994-11-28
2009-10-28
[ "hep-th", "math.QA", "q-alg" ]
F.Gliozzi and R.Tateo
hep-th/9411199
Quantum Canonical Transformations revisited
A preferred form for the path integral discretization is suggested that allows the implementation of canonical transformations in quantum theory.
1994-11-28
2009-10-28
[ "hep-th", "funct-an", "hep-lat", "math.FA" ]
A.Y. Shiekh
hep-th/9411207
N-point matrix elements of dynamical vertex operators of the higher spin XXZ model
We extend the concept of conjugate vertex operators, first introduced by Dotsenko in the case of the bosonization of the $su(2)$ conformal field theory, to the bosonization of the dynamical vertex operators (type II in the classification of the Kyoto school) of the higher spin XXZ model. We show that the introduction o...
1994-11-28
2009-10-28
[ "hep-th" ]
A.H. Bougourzi
hep-th/9411201
Thirring Model as a Gauge Theory
We reformulate the Thirring model in $D$ $(2 \le D < 4)$ dimensions as a gauge theory by introducing $U(1)$ hidden local symmetry (HLS) and study the dynamical mass generation of the fermion through the Schwinger-Dyson (SD) equation. By virtue of such a gauge symmetry we can greatly simplify the analysis of the SD equa...
1994-11-28
2009-10-28
[ "hep-th", "hep-lat", "hep-ph" ]
Taichi Itoh, Yoonbai Kim, Masaki Sugiura, and Koichi Yamawaki
hep-th/9411204
c>1 Non-Critical Strings and Large-N Matrix Field Theory
Motivated by a possible relativistic string description of hadrons we use a discretised light-cone quantisation and Lanczos algorithm to investigate the phase structure of phi^3 matrix field theory in the large N limit. In 1+1 dimensions we confirm the existence of Polyakov's non-critical string theory at the boundary ...
1994-11-28
2009-10-28
[ "hep-th", "hep-lat" ]
F.Antonuccio and S.Dalley
hep-th/9411200
Finite dimensional representations of the quantum group $GL_{p,q}(2)$ using the exponential map from $U_{p,q}(gl(2))$
Using the Fronsdal-Galindo formula for the exponential mapping from the quantum algebra $U_{p,q}(gl(2))$ to the quantum group $GL_{p,q}(2)$, we show how the $(2j+1)$-dimensional representations of $GL_{p,q}(2)$ can be obtained by `exponentiating' the well-known $(2j+1)$-dimensional representations of $U_{p,q}(gl(2))$ f...
1994-11-28
2009-10-28
[ "hep-th", "math.QA", "q-alg" ]
R. Jagannathan and J. Van der Jeugt
hep-th/9411198
Melvin solution in string theory
We identify a string theory counterpart of the dilatonic Melvin D=4 background describing a "magnetic flux tube" in low-energy field theory limit. The corresponding D=5 bosonic string model containing extra compact Kaluza-Klein dimension is a direct product of the D=2 Minkowski space and a D=3 conformal sigma model. Th...
1994-11-27
2009-09-17
[ "hep-th", "gr-qc" ]
A.A. Tseytlin
hep-th/9411197
Normalization of scattering states and Levinson's theorem: reply to a Comment by R. G. Newton
Recently R. G. Newton published a comment criticizing the methods and the results of a paper published by the author. His criticism touches on a few key points of the subject and hence deserves a detailed reply. Here is the reply, point by point, to his criticism.
1994-11-27
2007-05-23
[ "hep-th", "nucl-th" ]
Nathan Poliatzky
hep-th/9411196
Protective Measurements
Protective measurements yield properties of the quantum state of a single quantum system without affecting the quantum state. A protective measurement involves adiabatic coupling to the measuring device together with a procedure to protect the state from changing. For nondegenerate energy eigenstates the protection is ...
1994-11-27
2009-10-28
[ "hep-th", "quant-ph" ]
Yakir Aharonov and Lev Vaidman
hep-th/9411194
Minor Identities for Quasideterminants and Quantum Determinants
We present several identities involving quasi-minors of noncommutative generic matrices. These identities are specialized to quantum matrices, yielding q-analogues of various classical determinantal formulas.
1994-11-26
2009-10-28
[ "hep-th", "math.QA", "q-alg" ]
D. Krob and B. Leclerc
hep-th/9411195
Duality and Four-Dimensional Black Holes
We consider the effects of abelian duality transformations on static, spherically-symmetric, asymptotically flat string spacetimes in four dimensions, where the dilaton, axion, metric, and gauge fields are allowed to be nonzero. Independent of the alpha' expansion, there is a six-parameter family of such configurations...
1994-11-26
2008-11-26
[ "hep-th", "gr-qc" ]
C.P. Burgess, R.C. Myers and F. Quevedo
hep-th/9411188
E_{10} for beginners
We present a nontechnical introduction to the hyperbolic Kac Moody algebra E_{10} and summarize our recent attempt to understand the root spaces of Kac Moody algebras of hyperbolic type in terms of a DDF construction appropriate to a subcritical compactified bosonic string.
1994-11-25
2015-06-26
[ "hep-th" ]
R.W. Gebert and H. Nicolai
hep-th/9411190
Relevant Perturbations of the SU(1,1)/U(1) Coset
It is shown that the space of cohomology classes of the $SU(1,1)/U(1)$ coset at negative level $k$ contains states of relevant conformal dimensions. These states correspond to the energy density operator of the associated nonlinear sigma model. We exhibit that there exists a subclass of relevant operators forming a clo...
1994-11-25
2009-10-28
[ "hep-th" ]
Oleg A. Soloviev
hep-th/9411187
Black Hole Solutions in Heterotic String Theory on a Torus
We construct the general electrically charged, rotating black hole solution in the heterotic string theory compactified on a six dimensional torus and study its classical properties. This black hole is characterized by its mass, angular momentum, and a 28 dimensional electric charge vector. We recover the axion-dilaton...
1994-11-25
2009-09-15
[ "hep-th", "gr-qc" ]
Ashoke Sen
hep-th/9411191
Improved actions, the perfect action, and scaling by perturbation theory in Wilsons renormalization group: the two dimensional $O(N)$-invariant non linear $\sigma$-model in the hierarchical approximation
We propose a method using perturbation theory in the running coupling constant and the idea of scaling to determine improved actions for lattice field theories combining Wilson's renormalization group with Symanzik's improvement program . The method is based on the analysis of a single renormalization group transformat...
1994-11-25
2009-10-28
[ "hep-th", "hep-lat" ]
C. Wieczerkowski, Y. Xylander
hep-th/9411193
Information Loss in Black Holes and/or Conscious Beings?
In 1976 Stephen Hawking proposed that information may be lost from our universe as a pure quantum state collapses gravitationally into a black hole, which then evaporates completely into a mixed state of thermal radiation. Although this proposal is controversial, it is tempting to consider analogous processes that migh...
1994-11-25
2008-02-03
[ "hep-th", "gr-qc", "quant-ph" ]
Don N. Page (CIAR Cosmology Program, University of Alberta)