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hep-th/9412145
Observables and Gauge Fixing in Spontaneously Broken Gauge Theories
Gauge fixing and the observable fields for both abelian and non-abelian gauge theories with spontaneous breaking of gauge symmetry are studied. We explicitly show that it is possible to globally fix the gauge in the broken sector and hence construct physical fields even in the non-abelian theory. We predict that any hi...
1994-12-16
2009-10-28
[ "hep-th" ]
Martin Lavelle and David McMullan
hep-th/9412149
Phase Diagram of Gross-Neveu Model at Finite Temperature, Density and Constant Curvature
We discuss a phase structure of chiral symmetry breaking in the Gross-Neveu model at finite temperature, density and constant curvature. The effective potential is evaluated in the leading order of the $1/N$-expansion and in a weak curvature approximation. The third order critical line is found on the critical surface ...
1994-12-16
2015-06-26
[ "hep-th" ]
S. Kanemura and H.-T. Sato
hep-th/9412150
Black Hole Solutions in String Theory
We present two-parameter solutions of the low-energy four-dimensional heterotic string which in the extremal limit reduce to supersymmetric monopole, string and domain wall solutions. The effective scalar coupling to the Maxwell field, $e^{-\alpha \phi} F_{\mu\nu} F^{\mu\nu}$, gives rise to a new string black hole with...
1994-12-16
2007-05-23
[ "hep-th" ]
Ramzi R. Khuri
hep-th/9412146
Becchi-Rouet-Stora-Tyutin quantization of a soliton model in 2+1 dimensions
The Becchi-Rouet-Stora-Tyutin (BRST) method is applied to the quantization of the solitons of the non-linear $O(3)$ model in $2+1$ dimensions. We show that this method allows for a simple and systematic treatment of zero-modes with a non-commuting algebra. We obtain the expression of the BRST hamiltonian and show that ...
1994-12-16
2009-10-28
[ "hep-th" ]
J. P. Garrahan, L. M. Kruczenski, C. L. Schat, D. R. Bes and N. N. Scoccola
hep-th/9412144
Entropies of Scalar Fields on Three Dimensional Black Holes
Thermodynamics of scalar fields is investigated in three dimensional black hole backgrounds in two approaches. One is mode expansion and direct computation of the partition sum, and the other is the Euclidean path integral approach. We obtain a number of exact results, for example, mode functions, Hartle-Hawking Green ...
1994-12-16
2008-11-26
[ "hep-th", "gr-qc" ]
Ikuo Ichinose and Yuji Satoh
hep-th/9412138
Quantum Mechanics of Black Holes
These lectures give a pedagogical review of dilaton gravity, Hawking radiation, the black hole information problem, and black hole pair creation. (Lectures presented at the 1994 Trieste Summer School in High Energy Physics and Cosmology)
1994-12-16
2007-05-23
[ "hep-th", "gr-qc" ]
Steven B. Giddings
hep-th/9412148
Geometry of the transport equation in multicomponent WKB approximations
Although the WKB approximation for multicomponent systems has been intensively studied in the literature, its geometric and global aspects are much less well understood than in the scalar case. In this paper we give a completely geometric derivation of the transport equation, without using local sections and without as...
1994-12-16
2015-06-26
[ "hep-th" ]
C. Emmrich and A. Weinstein
hep-th/9412143
Signatures of Confinement in Axial Gauge QCD
A comparative dynamical study of axial gauge QED and QCD is presented. Elementary excitations associated with particular field configurations are investigated. Gluonic excitations analogous to linearly polarized photons are shown to acquire infinite energy. Suppression of this class of excitations in QCD results from q...
1994-12-16
2015-06-26
[ "hep-th" ]
F. Lenz, E. J. Moniz, and M. Thies (MIT and University of Erlangen-N\"urnberg)
hep-th/9412147
(N,p,q) Harmonic Superspace
A family of harmonic superspaces associated with four-dimensional spacetime is described. Some applications to supersymmetric field theories, including supergravity, are given.
1994-12-16
2009-10-28
[ "hep-th" ]
G.G. Hartwell and P.S. Howe
hep-th/9412128
Bosonization of ZF Algebras: Direction Toward Deformed Virasoro Algebra
These lectures were prepared to be presented at A.A. Belavin seminar on CFT at Landau Institute for Theoretical Physics. We review bosonization of CFT and show how it can be applied to the studying of representations of Zamolodchikov-Faddeev (ZF) algebras. In the bosonic construction we obtain explicit realization of c...
1994-12-15
2007-05-23
[ "hep-th" ]
Sergei Lukyanov, Yaroslav Pugai
hep-th/9412129
Elementary Derivation of the Chiral Anomaly
An elementary derivation of the chiral gauge anomaly in all even dimensions is given in terms of noncommutative traces of pseudo-differential operators.
1994-12-15
2009-10-28
[ "hep-th" ]
Edwin Langmann and Jouko Mickelsson
hep-th/9412136
Relativistically Covariant Symmetry in QED
We construct a relativistically covariant symmetry of QED. Previous local and nonlocal symmetries are special cases. This generalized symmetry need not be nilpotent, but nilpotency can be arranged with an auxiliary field and a certain condition. The Noether charge generating the symmetry transformation is obtained, and...
1994-12-15
2009-10-28
[ "hep-th" ]
Zhong Tang and David Finkelstein
hep-th/9412137
Dirac versus reduced phase space quantization
The relationship between the Dirac and reduced phase space quantizations is investigated for spin models belonging to the class of Hamiltonian systems having no gauge conditions. It is traced out that the two quantization methods may give similar, or essentially different physical results, and, moreover, it is shown th...
1994-12-15
2007-05-23
[ "hep-th" ]
Mikhail S. Plyushchay and Alexander V. Razumov
hep-th/9412133
Fractional Supersymmetry
A Symmetry between bosonic coordinates and some Grassmannian-type coordinates is presented. Commuting two of these Grassmannian-type variables results in an arbitrary phase (not just a minus sign). This symmetry is also realised at the level of the field theory.
1994-12-15
2015-06-26
[ "hep-th", "hep-ph" ]
Noureddine Mohammedi
hep-th/9412135
Solvable Models in Two-Dimensional N=2 Theories
N=2 supersymmetric field theories in two dimensions have been extensively studied in the last few years. Many of their properties can be determined along the whole renormalization group flow, like their coupling dependence and soliton spectra. We discuss here several models which can be solved completely, when the numb...
1994-12-15
2007-05-23
[ "hep-th" ]
Michele Bourdeau
hep-th/9412130
A New Approach to Spin and Statistics
We give an algebraic proof of the spin-statistics connection for the parabosonic and parafermionic quantum topological charges of a theory of local observables with a modular PCT-symmetry. The argument avoids the use of the spinor calculus and also works in 1+2 dimensions. It is expected to be a progress towards a gene...
1994-12-15
2008-11-26
[ "hep-th" ]
Bernd Kuckert
hep-th/9412131
Lectures On Black Hole Evaporation and Information Loss
Trieste Spring School Lectures describing the author's opinions about black hole evaporation and information loss. The remnant, or cornucopion scenario for the endpoint of Hawking evaporation is described in detail. In this picture information can be lost to the original asymptotic observer without violating the rules ...
1994-12-15
2009-10-28
[ "hep-th" ]
Thomas Banks (Rutgers University)
hep-th/9412127
Solitons, Tau-functions and Hamiltonian Reduction for Non-Abelian Conformal Affine Toda Theories
We consider the Hamiltonian reduction of the two-loop Wess-Zumino-Novikov-Witten model (WZNW) based on an untwisted affine Kac-Moody algebra $\cgh$. The resulting reduced models, called {\em Generalized Non-Abelian Conformal Affine Toda (G-CAT)}, are conformally invariant and a wide class of them possesses soliton solu...
1994-12-15
2009-10-28
[ "hep-th" ]
L.A. Ferreira, J.L. Miramontes and J. Sanchez Guillen
hep-th/9412132
Massive fields dynamics in open bosonic string theory
We consider the theory of open bosonic string in massive background fields. The general structure of renormalization is investigated. A general covariant action for a string in background fields of the first massive level is suggested and its symmetries are described. Equations of motion for the background fields are o...
1994-12-15
2010-11-01
[ "hep-th" ]
I.L. Buchbinder, V.A. Krykhtin, V.D. Pershin
hep-th/9412134
BRST formalism for systems with higher order derivatives of gauge parameters
For a wide class of mechanical systems, invariant under gauge transformations with higher (arbitrary) order time derivatives of gauge parameters, the equivalence of Lagrangian and Hamiltonian BRST formalisms is proved. It is shown that the Ostrogradsky formalism establishes the natural rules to relate the BFV ghost can...
1994-12-15
2015-06-26
[ "hep-th" ]
Khazret S. Nirov
hep-th/9412126
Lie group weight multiplicities from conformal field theory
Dominant weight multiplicities of simple Lie groups are expressed in terms of the modular matrices of Wess-Zumino-Witten conformal field theories, and related objects. Symmetries of the modular matrices give rise to new relations among multiplicities. At least for some Lie groups, these new relations are strong enough ...
1994-12-14
2009-10-28
[ "hep-th" ]
T. Gannon, C. Jakovljevic, M.A. Walton
hep-th/9412124
Bispectral KP Solutions and Linearization of Calogero-Moser Particle Systems
A new construction using finite dimensional dual grassmannians is developed to study rational and soliton solutions of the KP hierarchy. In the rational case, properties of the tau function which are equivalent to bispectrality of the associated wave function are identified. In particular, it is shown that there exists...
1994-12-14
2009-10-28
[ "hep-th", "math.QA", "nlin.SI", "q-alg", "solv-int" ]
Alex Kasman (Boston University)
hep-th/9412120
The Continuum Limit of the Schwinger-Dyson Equations of the One and Two Matrix Model with Finite Loop Length
We take the continuum limit of the \sdeq s of the one and two matrix model without expanding them in the length of the loop. The resulting equations agree with those proposed for string field theory in the temporal gauge. We find that the loop operators are required to mix in the two matrix model case and determine the...
1994-12-14
2009-10-28
[ "hep-th" ]
M. Ikehara
hep-th/9412121
Renormalization without regularization and R-operation
Definition of Feynman integrals as solutions of some well defined systems of differential equations is proposed. This definition is equivalent to usual one but needs no regularization and application of $R$-operation. It is argued that proposed renormalization scheme maintains all symmetries that can be maintained in p...
1994-12-14
2007-05-23
[ "hep-th" ]
F.A.Lunev
hep-th/9412123
Geometrical Properties of Conformal Field Theories Coupled to Two-Dimensional Quantum Gravity
In this work we discuss an approach due to F. David to the geometry of world sheets of non-critical strings in quasiclassical approximation. The gravitational dressed conformal dimension is related to the scaling behavior of the two-point function with respect to a distance variable. We show how this approach reproduce...
1994-12-14
2010-11-01
[ "hep-th" ]
S. Braune, HU Berlin
hep-th/9412118
Modular Invariance and (Quasi)-Galois symmetry in Conformal Field Theory
A brief heuristic explanation is given of recent work with Juergen Fuchs, Beatriz Gato-Rivera and Christoph Schweigert on the construction of modular invariant partition functions from Galois symmetry in conformal field theory. A generalization, which we call quasi-Galois symmetry, is also described. As an application ...
1994-12-14
2007-05-23
[ "hep-th" ]
A.N. Schellekens (NIKHEF, Amsterdam)
hep-th/9412125
Pauli-Villars Regularization of Globally Supersymmetric Theories
It is shown that the one-loop ultraviolet divergences in renormalizable supersymmetric theories can be regulated by the introduction of heavy Pauli-Villars chiral supermultiplets, provided the generators of the gauge group are traceless in the matter representation. The procedure is extended to include supersymmetric g...
1994-12-14
2009-10-28
[ "hep-th", "hep-ph" ]
Mary K. Gaillard
hep-th/9412119
Solution of the Three--Anyon Problem
We solve, by separation of variables, the problem of three anyons with a harmonic oscillator potential. The anyonic symmetry conditions from cyclic permutations are separable in our coordinates. The conditions from two-particle transpositions are not separable, but can be expressed as reflection symmetry conditions on ...
1994-12-14
2009-10-28
[ "hep-th", "cond-mat" ]
Stefan Mashkevich, Jan Myrheim, K{\aa}re Olaussen and Ronald Rietman
hep-th/9412122
Multi-Hamiltonian Structure of Lotka-Volterra and Quantum Volterra Models
We consider evolution equations of the Lotka-Volterra type, and elucidate especially their formulation as canonical Hamiltonian systems. The general conditions under which these equations admit several conserved quantities (multi-Hamiltonians) are analysed. A special case, which is related to the Liouville model on a l...
1994-12-14
2016-09-06
[ "hep-th" ]
C. Cronstrom, M. Noga
hep-th/9412114
The classical basis for $\kappa$-deformed Poincar\'e (super)algebra and the second $\kappa$-deformed supersymmetric Casimir
We present here the general solution describing generators of \kdef \poin algebra as the functions of classical \poin algebra generators as well as the inverse formulae. Further we present analogous relations for the generators of N=1 D=4 \kdef \poin superalgebra expressed by the classical \poin superalgebra generators...
1994-12-13
2015-06-26
[ "hep-th" ]
P. Kosi\'nski, J. Lukierski, P. Ma\'slanka and J. Sobczyk
hep-th/9412110
Wilson Loops in 2D Yang Mills: Euler characters and Loop equations
We give a simple diagrammatic algorithm for writing the chiral large $N$ expansion of intersecting Wilson loops in $2D$ $SU(N)$ and $U(N) $Yang Mills theory in terms of symmetric groups, generalizing the result of Gross and Taylor for partition functions. We prove that these expansions compute Euler characters of a spa...
1994-12-13
2015-06-26
[ "hep-th" ]
Sanjaye Ramgoolam
hep-th/9412112
Anomaly Cancellations and String Symmetries in the Effective Field Theory
This contribution briefly describes some developments of the use of string symmetries and anomaly cancellation mechanisms to include string loop corrections in the construction of the low-energy effective supergravity of superstrings. (Presented at the 27th International Conference on High Energy Physics, Glasgow, July...
1994-12-13
2016-09-06
[ "hep-th" ]
J.-P. Derendinger
hep-th/9412111
On inserter regularization method
There exist certain intrinsic relations between the ultraviolet divergent graphs and the convergent ones at the same loop order in renormalizable quantum field theories. Whereupon we present a new method, the inserter regularization method, to regulate those divergent graphs. In this letter, we demonstrate this method ...
1994-12-13
2007-05-23
[ "hep-th" ]
Han-Ying Guo, Yu Cai and Hong-Bo Teng
hep-th/9412117
Mirror Symmetry for Calabi-Yau Hypersurfaces in Weighted P_4 and Extensions of Landau Ginzburg Theory
Recently two groups have listed all sets of weights (k_1,...,k_5) such that the weighted projective space P_4^{(k_1,...,k_5)} admits a transverse Calabi-Yau hypersurface. It was noticed that the corresponding Calabi-Yau manifolds do not form a mirror symmetric set since some 850 of the 7555 manifolds have Hodge numbers...
1994-12-13
2009-10-28
[ "hep-th", "alg-geom", "math.AG" ]
Philip Candelas, Xenia de la Ossa and Sheldon Katz
hep-th/9412113
Quantum Mechanics of the Vacuum State in Two-Dimensional QCD with Adjoint Fermions
A study of two-dimensional QCD on a spatial circle with Majorana fermions in the adjoint representation of the gauge groups SU(2) and SU(3) has been performed. The main emphasis is put on the symmetry properties related to the homotopically non-trivial gauge transformations and the discrete axial symmetry of this model...
1994-12-13
2009-10-28
[ "hep-th" ]
F. Lenz, M. Shifman, and M. Thies (University of Erlangen-N\"urnberg)
hep-th/9412116
Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems
We clarify the algebraic structure of continuous and discrete quasi-exactly solvable spectral problems by embedding them into the framework of the quantum inverse scattering method. The quasi-exactly solvable hamiltonians in one dimension are identified with traces of quantum monodromy matrices for specific integrable ...
1994-12-13
2014-11-18
[ "hep-th" ]
A.V.Zabrodin
hep-th/9412101
Poisson homogeneous spaces
General framework for Poisson homogeneous spaces of Poisson groups is introduced. Poisson Minkowski spaces are discussed as a particular example.
1994-12-12
2007-05-23
[ "hep-th" ]
S. Zakrzewski
hep-th/9412100
Extended phase space for a spinning particle
Extended phase space of an elementary (relativistic) system is introduced in the spirit of the Souriau's definition of the `space of motions' for such system. Our formulation is generally applicable to any homogeneous space-time (e.g. de Sitter) and also to Poisson actions. Calculations concerning the Minkowski case fo...
1994-12-12
2009-10-28
[ "hep-th" ]
S. Zakrzewski
hep-th/9412094
Endomorphism Semigroups and Lightlike Translations
Certain criteria are demonstrated for a spatial derivation of a von Neumann algebra to generate a one-parameter semigroup of endomorphisms of that algebra. These are then used to establish a converse to recent results of Borchers and of Wiesbrock on certain one-parameter semigroups of endomorphisms of von Neumann algeb...
1994-12-12
2015-06-26
[ "hep-th" ]
D. R. Davidson
hep-th/9412093
Complex-time path-integral formalism for quantum tunneling
The complex-time formalism is developed in the framework of the path-integral formalism, to be used for analysis of the quantum tunneling phenomena. We show that subleading complex-time saddle-points do not account for the right WKB result. Instead, we develop a reduction formula, which enables us to construct Green fu...
1994-12-12
2011-07-19
[ "hep-th" ]
Hideaki Aoyama and Toshiyuki Harano
hep-th/9412095
Discrete Gauge States and$w_\infty$ Charges in c=1 2d Gravity
We give a general formula for gauge states at the discrete momenta in Liouville theory. These discrete gauge states carry the $w_\infty$ charges. As in the case of the 26D (or 10D) string theory, they are decoupled from the correlation functions and can be considered as the symmetry parameters in the old covariant quan...
1994-12-12
2009-10-28
[ "hep-th" ]
Tze-Dan Chung and Jen-Chi Lee
hep-th/9412096
Double Scaling Limits and Catastrophes of the zerodimensional O(N) Vector Sigma Model: The A-Series
We evaluate the partition functions in the neighbourhood of catastrophes by saddle point integration and express them in terms of generalized Airy functions.
1994-12-12
2009-09-25
[ "hep-th" ]
Werner Ruehl
hep-th/9412115
The Moduli Space of N = 2 Superconformal Field Theories
We review the structure of the moduli space of particular N = (2,2) superconformal field theories. We restrict attention to those of particular use in superstring compactification, namely those with central charge c = 3d for some integer d and whose NS fields have integer U(1) charge. The cases d = 1, 2 and 3 are analy...
1994-12-12
2007-05-23
[ "hep-th" ]
Paul Aspinwall
hep-th/9412105
Different factorizations of the relativistic finite-difference Schroedinger equation and q-oscillators
The concept of the one -- dimensional quantum mechanics in the relativistic configurational space (RQM) is reviewed briefly. The Relativistic Schroedinger equation (RSE) arising here is the finite-difference equation with the step equal to the Compton wave length of the particle. The different generalizations of the Di...
1994-12-12
2008-02-03
[ "hep-th" ]
R.M.Mir -- Kasimov
hep-th/9412104
Broken phase of the O(N) \phi^4 model in light cone quantization and 1/N expansion
The solution of the O$(N) \phi^4$ scalar field theory in the broken phase is given in the framework of light cone quantization and a 1/N expansion. It involves the successive building of operator solutions to the equation of motion and constraints including operator zero modes of the fields which are the LC counterpart...
1994-12-12
2009-10-28
[ "hep-th" ]
A.Borderies, P. Grang\'e, E. Werner
hep-th/9412098
On the classical $\kappa$-particle
The dependence of velocity on momentum for the free massive particle obeying the $\kappa $-Poincar\'{e} Poisson symmetry is calculated in terms of intrinsic non-commuting space-time coordinates and shown to have a monotonic character, with upper limit of velocity equal to 1.
1994-12-12
2007-05-23
[ "hep-th" ]
S. Zakrzewski
hep-th/9412107
Topological Structures in QCD at High ${T}$
These days, as high energy particle colliders become unavailable for testing speculative theoretical ideas, physicists are looking to other environments that may provide extreme conditions where theory confronts physical reality. One such circumstance may arise at high temperature $T$, which perhaps can be attained in ...
1994-12-12
2010-11-01
[ "hep-th" ]
R. Jackiw
hep-th/9412106
Effective Tachyonic Potential in Closed String Field Theory
We calculate the effective tachyonic potential in closed string field theory up to the quartic term in the tree approximation. This involves an elementary four-tachyon vertex and a sum over the infinite number of Feynman graphs with an intermediate massive state. We show that both the elementary term and the sum can be...
1994-12-12
2010-11-01
[ "hep-th" ]
Alexander Belopolsky (MIT)
hep-th/9412097
Entropy of random coverings and 4D quantum gravity
We discuss the counting of minimal geodesic ball coverings of $n$-dimensional riemannian manifolds of bounded geometry, fixed Euler characteristic and Reidemeister torsion in a given representation of the fundamental group. This counting bears relevance to the analysis of the continuum limit of discrete models of quant...
1994-12-12
2015-06-26
[ "hep-th", "gr-qc" ]
C. Bartocci, U. Bruzzo, M. Carfora and A. Marzuoli
hep-th/9412103
p-Adic Field Theory limit of TGD is free of UV divergences
The p-adic description of Higgs mechanism in TGD framework provides excellent predictions for elementary particle and hadrons masses (hep-th@xxx.lanl.gov 9410058-62). The gauge group of TGD is just the gauge group of the standard model so that it makes sense to study the p-adic counterpart of the standard model as a ca...
1994-12-12
2008-02-03
[ "hep-th" ]
Matti Pitk\"anen
hep-th/9412102
The Weinberg - Faddeev solution to the problems of quantum field theory and quantum gravity:quantum spacetime
In this paper a fundamental length is introduced into physics. This is done in a way which respects special relativity and quantum field theory. The theory has formal similarity to quantum field theory though its properties are far better: divergences are got rid of. The problem of quantizing gravity is straightforward...
1994-12-12
2007-05-23
[ "hep-th" ]
G.H.Gadiyar
hep-th/9412109
On the operator content of nilpotent orbifold models
Let $V$ be a simple vertex operator algebra and $G$ be a finite nilpotent group of automorphisms of $V.$ We prove the following in this paper: (1) There is a Galois correspondence between subgroups of $G$ and the vertex operator subalgebras of $V$ which contain $V^G$ given by the map $H\mapsto V^H.$ (2) Assume that for...
1994-12-12
2008-02-03
[ "hep-th", "math.QA", "q-alg" ]
Chongying Dong and Geoffrey Mason
hep-th/9412099
Poisson Poincare groups
We present almost complete list of normal forms of classical $r$-matrices on the Poincar\'{e} group.
1994-12-12
2008-02-03
[ "hep-th", "math.QA", "q-alg" ]
S. Zakrzewski
hep-th/9412108
Spinon basis for higher level SU(2) WZW models
We propose a spinon basis for the integrable highest weight modules of $\hsltw$ at levels $k\geq1$, and discuss the underlying Yangian symmetry. Evaluating the characters in this spinon basis provides new quasi-particle type expressions for the characters of these integrable modules, and explicitly exhibits the structu...
1994-12-12
2009-10-28
[ "hep-th" ]
Peter Bouwknegt, Andreas Ludwig and Kareljan Schoutens
hep-th/9412092
Off--shell formulation of N = 2 Super Yang--Mills theories coupled to matter without auxiliary fields
N=2 supersymmetric Yang--Mills theories coupled to matter are considered in the Wess--Zumino gauge. The supersymmetries are realized nonlinearly and the anticommutator between two susy charges gives, in addition to translations, gauge transformations and equations of motion. The difficulties hidden in such an algebraic...
1994-12-11
2010-11-01
[ "hep-th" ]
Nicola Maggiore
hep-th/9412091
Solutions of n-simplex Equation from Solutions of Braid Group Representation
It is shown that a kind of solutions of n-simplex equation can be obtained from representations of braid group. The symmetries in its solution space are also discussed.
1994-12-11
2009-10-28
[ "hep-th" ]
You-Quan Li and Zhan-Ning Hu
hep-th/9412090
Phase transition in one-dimensional lattice gauge theories
Considering one-dimensional nonminimally-coupled lattice gauge theories, a class of nonlocal one-dimensional systems is presented, which exhibits a phase transition. It is shown that the transition has a latent heat, and, therefore, is a first order phase transition.
1994-12-10
2007-05-23
[ "hep-th" ]
M. Khorrami
hep-th/9412077
Scaling Behavior in String Theory
In Calabi--Yau compactifications of the heterotic string there exist quantities which are universal in the sense that they are present in every Calabi--Yau string vacuum. It is shown that such universal characteristics provide numerical information, in the form of scaling exponents, about the space of ground states in ...
1994-12-09
2010-11-01
[ "hep-th" ]
Rolf Schimmrigk
hep-th/9412089
Discrete Gravity in One Dimension
A model for quantum gravity in one (time) dimension is discussed, based on Regge's discrete formulation of gravity. The nature of exact continuous lattice diffeomorphisms and the implications for a regularized gravitational measure are examined. After introducing a massless scalar field coupled to the edge lengths, the...
1994-12-09
2009-10-28
[ "hep-th" ]
Herbert W. Hamber and Ruth M. Williams
hep-th/9412081
String Quantization in Curved Spacetimes: Null String Approach
We study quantum strings in strong gravitational fields. The relevant small parameter is $g=R_c{\sqrt T_0}$, where $R_c$ is the curvature of the spacetime and $T_0$ is the string tension. Within our systematic expansion we obtain to zeroth order the null string (string with zero tension), while the first order correcti...
1994-12-09
2015-06-26
[ "hep-th" ]
H. J. de Vega, I. Giannakis, A. Nicolaidis
hep-th/9412085
Reconstruction of Hidden Symmetries
Representations of a group $G$ in vector spaces over a field $K$ form a category. One can reconstruct the given group $G$ from its representations to vector spaces as the full group of monoidal automorphisms of the underlying functor. This is a special example of Tannaka-Krein theory. This theory was used in recent yea...
1994-12-09
2008-02-03
[ "hep-th" ]
Bodo Pareigis
hep-th/9412082
Some Aspects of $q$- and $qp$-Boson Calculus
A set of compatible formulas for the Clebsch-Gordan coefficients of the quantum algebra $U_{q}({\rm su}_2)$ is given in this paper. These formulas are $q$-deformations of known formulas, as for instance: Wigner, van der Waerden, and Racah formulas. They serve as starting points for deriving various realizations of the ...
1994-12-09
2007-05-23
[ "hep-th" ]
M.R. Kibler, R.M. Asherova, and Yu.F. Smirnov
hep-th/9412083
Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras
Lie bialgebra contractions are introduced and classified. A non-degenerate coboundary bialgebra structure is implemented into all pseudo-orthogonal algebras $so(p,q)$ starting from the one corresponding to $so(N+1)$. It allows to introduce a set of Lie bialgebra contractions which leads to Lie bialgebras of quasi-ortho...
1994-12-09
2009-10-28
[ "hep-th", "math.QA", "q-alg" ]
A. Ballesteros, N.A. Gromov, F.J. Herranz, M.A. del Olmo and M. Santander
hep-th/9412088
Confined two-dimensional fermions at finite density
We introduce the chemical potential in a system of two-dimensional massless fermions, confined to a finite region, by imposing twisted boundary conditions in the Euclidean time direction. We explore in this simple model the application of functional techniques which could be used in more complicated situations.
1994-12-09
2008-11-26
[ "hep-th" ]
M. De Francia, H. Falomir, M. Loewe and E. M. Santangelo
hep-th/9412079
Gaugino Condensation in the Chiral and Linear Representation of the Dilaton
String effective theories with N=1 supersymmetry in four dimensions are subject of the discussion. Gaugino condensation in the chiral representation of the dilaton is reviewed in the truncated formalism in the $U_{K}(1)$-superspace. Using the supersymmetric duality of the dilaton the same investigation is made in the l...
1994-12-09
2009-10-07
[ "hep-th" ]
Ingo Gaido and Dieter Lust
hep-th/9412086
The Linear Multiplet and Quantum String Effective Actions
Quantum symmetries of four-dimensional superstrings are frequently realized in an anomaly-cancellation mode in the effective low-energy supergravity. The massless antisymmetric tensor plays an important r\^ole in this mechanism and the choice of its supersymmetric description, using either a chiral or a linear multiple...
1994-12-09
2007-05-23
[ "hep-th" ]
J.-P. Derendinger (Neuchatel Univ.)
hep-th/9412078
Higher dimensional uniformisation and W-geometry
We formulate the uniformisation problem underlying the geometry of W_n-gravity using the differential equation approach to W-algebras. We construct W_n-space (analogous to superspace in supersymmetry) as an (n-1) dimensional complex manifold using isomonodromic deformations of linear differential equations. The W_n-man...
1994-12-09
2009-10-28
[ "hep-th" ]
Suresh Govindarajan
hep-th/9412076
Charged Dilaton Black Holes with a Cosmological Constant
The properties of static spherically symmetric black holes, which are either electrically or magnetically charged, and which are coupled to the dilaton in the presence of a cosmological constant, are considered. It is shown that such solutions do not exist if the cosmological constant is positive (in arbitrary spacetim...
1994-12-09
2010-11-01
[ "hep-th", "gr-qc" ]
S.J. Poletti, J. Twamley and D.L. Wiltshire
hep-th/9412075
Residue Formulas for the Large k Asymptotics of Witten's Invariants of Seifert Manifolds. The Case of SU(2)
We derive the large k asymptotics of the surgery formula for SU(2) Witten's invariants of general Seifert manifolds. The contributions of connected components of the moduli space of flat connections are identified. The contributions of irreducible connections are presented in a residue form. This form is similar to the...
1994-12-09
2009-10-28
[ "hep-th", "math.QA", "q-alg" ]
L. Rozansky
hep-th/9412087
Effective Action for High-Energy Scattering in Gravity
The multi-Regge effective action is derived directly from the linearized gravity action. After excluding the redundant field components we separate the fields into momentum modes and integrate over modes which correspond neither to the kinematics of scattering nor to the one of exchanged particles. The effective vertic...
1994-12-09
2009-10-28
[ "hep-th" ]
R. Kirschner and L. Szymanowski
hep-th/9412080
A Matrix Model for Random Surfaces with Dynamical Holes
A matrix model to describe dynamical loops on random planar graphs is analyzed. It has similarities with a model studied by Kazakov, few years ago, and the O(n) model by Kostov and collaborators. The main difference is that all loops are coherently oriented and empty. The free energy is analytically evaluated and the t...
1994-12-09
2008-11-26
[ "hep-th" ]
G.M.Cicuta, L.Molinari, E.Montaldi, S.Stramaglia
hep-th/9412071
Some Results on (0,2) Z_N Orbifold Theories with Continuous Wilson Lines
We discuss recent results on orbifold compactifications with (0,2) world sheet supersymmetry and continuous Wilson lines, emphasizing the role of modular symmetries. (This work is a contribution to the proceedings of the joint US Polish Workshop on Physics from the Planck scale to the Electro-Weak scale, Warsaw, 21.9. ...
1994-12-08
2007-05-23
[ "hep-th" ]
Gabriel Lopes Cardoso, Dieter Lust, Thomas Mohaupt
hep-th/9412074
Spacelike Singularities and String Theory
An interpretation of spacelike singularities in string theory uses target space duality to relate the collapsing Schwarzschild geometry near the singularity to an inflationary cosmology in dual variables. An appealing picture thus results whereby gravitational collapse seeds the formation of a new universe.
1994-12-08
2010-04-06
[ "hep-th", "gr-qc" ]
Emil Martinec
hep-th/9412084
Representations of Composite Braids and Invariants for Mutant Knots and Links in Chern-Simons Field Theories
We show that any of the new knot invariants obtained from Chern-Simons theory based on an arbitrary non-abelian gauge group do not distinguish isotopically inequivalent mutant knots and links. In an attempt to distinguish these knots and links, we study Murakami (symmetrized version) $r$-strand composite braids. Salien...
1994-12-08
2009-10-28
[ "hep-th", "alg-geom", "math.AG", "math.QA", "q-alg" ]
P. Ramadevi, T.R. Govindarajan and R.K. Kaul
hep-th/9412073
Differential Geometry on the Space of Connections via Graphs and Projective Limits
In a quantum mechanical treatment of gauge theories (including general relativity), one is led to consider a certain completion, $\agb$, of the space $\ag$ of gauge equivalent connections. This space serves as the quantum configuration space, or, as the space of all Euclidean histories over which one must integrate in ...
1994-12-08
2009-10-28
[ "hep-th", "gr-qc" ]
Abhay Ashtekar and Jerzy Lewandowski
hep-th/9412072
"Separation of Variables and Hamiltonian Formulation for the Ernst Equation"
It is shown that the vacuum Einstein equations for an arbitrary stationary axisymmetric space-time can be completely separated by re-formulating the Ernst equation and its associated linear system in terms of a non-autonomous Schlesinger-type dynamical system. The conformal factor of the metric coincides (up to some ex...
1994-12-08
2009-10-28
[ "hep-th", "gr-qc" ]
D. Korotkin and H. Nicolai (Hamburg University)
hep-th/9412066
Two-Loop Effective Action for Theories with Fermions
On the basis of a new approach proposed in our previous work we develope a formalism for calculating of the effective action for some models containing fermion fields. This method allows us to calculate the fermionic part of the effective action (up to two-loop level) properly. The two-loop contribution to the effectiv...
1994-12-07
2015-06-26
[ "hep-th" ]
B.A.Faizullaev, M.M.Musakhanov
hep-th/9412070
Amplification of the scattering cross section due to non-trivial topology of the spacetime
In previous articles it was demonstrated that the total cross section of the scattering of two light particles (zero modes of the Kaluza-Klein tower) in the six-dimensional $\lambda \phi^{4}$ model differs significantly from the cross section of the same process in the conventional $\lambda \phi^{4}$ theory in four spa...
1994-12-07
2014-11-18
[ "hep-th" ]
K. Kirsten and Yu. Kubyshin
hep-th/9412068
Thermal Decays in a Hot Fermi Gas
We present a study of the decay of metastable states of a scalar field via thermal activation, in the presence of a finite density of fermions. The process we consider is the nucleation of ``{\it droplets}'' of true vacuum inside the false one. We analyze a one-dimensional system of interacting bosons and fermions, con...
1994-12-07
2009-10-28
[ "hep-th", "cond-mat", "hep-ph" ]
E.S. Fraga and C.A.A. De Carvalho
hep-th/9412057
On O(N)-Symmetric Gauged $\phi^6{}_{2+1}$ Theory with Chern-Simons Term
I investigate the effects of the Chern-Simons coupling on high-energy behavior in $2+1$ dimensional U(1) gauged $\eta(\phi^\dagger\phi)^3$ theory with a Chern-Simons term. The effective potential and the $\beta$ function for $\eta$ are calculated to the next-to-leading order of the $1/N$ expansion as functions of $\the...
1994-12-07
2009-10-28
[ "hep-th", "hep-ph" ]
S. H. Park
hep-th/9412065
Stochastic Tachyon Fluctuations, Marginal Deformations and Shock Waves in String Theory
Starting with exact solutions to string theory on curved spacetimes we obtain deformations that represent gravitational shock waves. These may exist in the presence or absence of sources. Sources are effectively induced by a tachyon field that randomly fluctuates around a zero condensate value. It is shown that at the ...
1994-12-07
2016-08-24
[ "hep-th", "gr-qc" ]
Konstadinos Sfetsos
hep-th/9412069
Differential Calculi on Commutative Algebras
A differential calculus on an associative algebra A is an algebraic analogue of the calculus of differential forms on a smooth manifold. It supplies A with a structure on which dynamics and field theory can be formulated to some extent in very much the same way we are used to from the geometrical arena underlying class...
1994-12-07
2009-10-28
[ "hep-th" ]
H. C. Baehr, A. Dimakis and F. M\"uller-Hoissen
hep-th/9412060
Quantization of the Lie Algebra SO(2N+1) and of the Lie Superalgebra Osp(1/2N) with Preoscillator Generators
The Lie algebra $so(2n+1)$ and the Lie superalgebra $osp(1/2n)$ are quantized in terms of $3n$ generators, called preoscillator generators. Apart from $n$ "Cartan" elements the preoscillator generators are deformed para-Fermi operators in the case of $so(2n+1)$ and deformed para-Bose operators in the case of $osp(1/2n)...
1994-12-07
2011-04-15
[ "hep-th" ]
Tchavdar D. Palev
hep-th/9412063
Asymptotic Expansions in Momenta and Masses and Calculation of Feynman Diagrams
General results on asymptotic expansions of Feynman diagrams in momenta and/or masses are reviewed. It is shown how they are applied for calculation of massive diagrams.
1994-12-07
2015-06-26
[ "hep-th" ]
V.A. Smirnov
hep-th/9412067
Statistical Properties of Schr\"odinger Real and Imaginary Cat States
We study the Photon statistics in the superpositions of coherent states $|\alpha\rangle$ and $|\alpha^*\rangle$ named ``Schr\"odinger real and imaginary cat states''. The oscillatory character of photon distribution function (PDF) emerging due to the quantum interference between the two components is shown, and the phe...
1994-12-07
2015-06-26
[ "hep-th" ]
V.V.Dodonov, S.Yu.Kalmykov, V.I.Man'ko
hep-th/9412061
A Four-Dimensional Theory for Quantum Gravity with Conformal and Nonconformal Explicit Solutions
The most general version of a renormalizable $d=4$ theory corresponding to a dimensionless higher-derivative scalar field model in curved spacetime is explored. The classical action of the theory contains $12$ independent functions, which are the generalized coupling constants of the theory. We calculate the one-loop b...
1994-12-07
2010-04-06
[ "hep-th" ]
E. Elizalde, A.G. Jacksenaev, S.D. Odintsov and I.L. Shapiro
hep-th/9412058
On the structure of inhomogeneous quantum groups
We investigate inhomogeneous quantum groups G built from a quantum group H and translations. The corresponding commutation relations contain inhomogeneous terms. Under certain conditions (which are satisfied in our study of quantum Poincare groups [12]) we prove that our construction has correct `size', find the R-matr...
1994-12-07
2009-10-28
[ "hep-th", "math.QA", "q-alg" ]
P. Podles and S.L. Woronowicz
hep-th/9412062
Massive Integrable Soliton Theories
Massive integrable field theories in $1+1$ dimensions are defined at the Lagrangian level, whose classical equations of motion are related to the ``non-abelian'' Toda field equations. They can be thought of as generalizations of the sine-Gordon and complex sine-Gordon theories. The fields of the theories take values in...
1994-12-07
2009-10-28
[ "hep-th" ]
Timothy J. Hollowood, J. Luis Miramontes and Q-Han Park
hep-th/9412064
Differential Renormalization, the Action Principle and Renormalization Group Calculations
General prescriptions of differential renormalization are presented. It is shown that renormalization group functions are straightforwardly expressed through some constants that naturally arise within this approach. The status of the action principle in the framework of differential renormalization is discussed.
1994-12-07
2009-10-28
[ "hep-th" ]
V.A. Smirnov
hep-th/9412059
On the classification of quantum Poincar\'e groups
Using the general theory of [10] ( hep-th 9412058 ), quantum Poincar\'e groups (without dilatations) are described and investigated. The description contains a set of numerical parameters which satisfy certain polynomial equations. For most cases we solve them and give the classification of quantum Poincar\'e groups. E...
1994-12-07
2011-07-18
[ "hep-th", "math.QA", "q-alg" ]
P. Podles, S. L. Woronowicz
hep-th/9412044
Folded Strings
Recent progress on the complete set of solutions of two dimensional classical string theory in any curved spacetime is reviewed. When the curvature is smooth the string solutions are deformed folded string solutions as compared to flat spacetime folded strings that were known for 19 years. However, surprizing new strin...
1994-12-06
2015-06-26
[ "hep-th" ]
Itzhak Bars
hep-th/9412054
Combinatorial constructions of modules for infinite-dimensional Lie algebras, I. Principal subspace
This is the first of a series of papers studying combinatorial (with no ``subtractions'') bases and characters of standard modules for affine Lie algebras, as well as various subspaces and ``coset spaces'' of these modules. In part I we consider certain standard modules for the affine Lie algebra $\ga,\;\g := sl(n+1,\C...
1994-12-06
2008-02-03
[ "hep-th", "math.QA", "q-alg" ]
Galin Georgiev (Rutgers)
hep-th/9412053
On a New Universal Class of Phase Transitions and Quantum Hall Effect
We study the possible phase transitions between (2+1)-dimensional abelian Chern-Simons theories. We show that they may be described by non-unitary rational conformal field theories with c_eff = 1. As an example we choose the fractional quantum Hall effect and derive all its main features from the discrete fractal struc...
1994-12-06
2008-02-03
[ "hep-th", "cond-mat" ]
Michael Flohr
hep-th/9412043
S matrix of collective field theory
By applying the Lehmann-Symanzik-Zimmermann (LSZ) reduction formalism, we study the S matrix of collective field theory in which fermi energy is larger than the height of potential. We consider the spatially symmetric and antisymmetric boundary conditions. The difference is that S matrices are proportional to momenta o...
1994-12-06
2009-10-28
[ "hep-th" ]
Dae-Yup Song
hep-th/9412050
Generalised Point Interactions for the Radial Schrodinger Equation via Unitary Dilations
We present an inverse scattering construction of generalised point interactions (GPI) -- point-like objects with non-trivial scattering behaviour. The construction is developed for single centre $S$-wave GPI models with rational $S$-matrices, and starts from an integral transform suggested by the scattering data. The t...
1994-12-06
2009-10-28
[ "hep-th" ]
C.J. Fewster
hep-th/9412034
A Note On Intrinsic Regularization Method
There exist certain intrinsic relations between the ultraviolet divergent graphs and the convergent ones at the same loop order in renormalizable quantum field theories. Whereupon we may establish a new method, the intrinsic regularization method, to regulate those divergent graphs. In this note, we present a proposal,...
1994-12-06
2007-05-23
[ "hep-th" ]
Han-Ying Guo, Yu Cai and Hong-Bo Teng
hep-th/9412051
RG flow in 2d field theory coupled to gravity
The renormalization group flow in two--dimensional field theories is modified if they are coupled to gravity. Beta function coefficients are changed, the $c$--theorem is no longer strictly valid, and flows from fixed points with central charge $c>25$ to fixed points with $c<25$ are forbidden. This is discussed in gener...
1994-12-06
2008-02-03
[ "hep-th" ]
Christof Schmidhuber
hep-th/9412045
Renormalization and Knot Theory
We investigate to what extent renormalization can be understood as an algebraic manipulation on concatenated one-loop integrals. We find that the resulting algebra indicates a useful connection to knot theory.
1994-12-06
2008-02-03
[ "hep-th", "hep-ph", "math.QA", "q-alg" ]
Dirk Kreimer
hep-th/9412046
Speedup in quantum computation is associated with attenuation of processing probability
Quantum coherence allows the computation of an arbitrary number of distinct computational paths in parallel. Based on quantum parallelism it has been conjectured that exponential or even larger speedups of computations are possible. Here it is shown that, although in principle correct, any speedup is accompanied by an ...
1994-12-06
2007-05-23
[ "hep-th", "quant-ph" ]
K. Svozil
hep-th/9412049
Mass Generation in Three Dimensions
I consider the dilute monopole gas expansion of the three dimensional Yang-Mills-Higgs system in the symmetry broken phase. The functional determinants which occur in such an expansion are computed in the heat kernel approximation for an arbitrary $SU(N)$ gauge group. Explicit expressions for the gauge boson mass in th...
1994-12-06
2008-02-03
[ "hep-th" ]
M. Oleszczuk