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hep-th/9409032
Finite Unification and Top Quark Mass
In unified gauge theories there exist renormalization group invariant relations among gauge and Yukawa couplings that are compatible with perturbative renormalizability, which could be considered as a Gauge-Yukawa Unification. Such relations are even necessary to ensure all-loop finiteness in Finite Unified Theories, w...
1994-09-05
2008-02-03
[ "hep-th" ]
Jisuke Kubo, Myriam Mondragon, George Zoupanos
hep-th/9409026
On Classification of Deformations of the Gardner Bracket Over Local Infinitesimal Transformations
The Lie algebra specified by space of local functionals with commutator determined by the Gardner bracket was under survey. Problem of classification of deformations of this bracket over local infinitesimal transformations of functionals was interpreted as a problem of computing the appropriate cohomology group of orde...
1994-09-05
2007-05-23
[ "hep-th" ]
V.L.Vereschagin
hep-th/9409028
Quantum Invariants of Knots and 3-Manifolds
Removed because of inappropriateness for e-print archives.
1994-09-05
2007-05-23
[ "hep-th" ]
V. Turaev
hep-th/9409030
Interaction Hierarchy
We analyse a new class of statistical systems, which simulate different systems of random surfaces on a lattice. Geometrical hierarchy of the energy functionals on which these theories are based produces corresponding hierarchy of the surface dynamics and of the phase transitions. We specially consider 3D gonihedric sy...
1994-09-05
2008-11-26
[ "hep-th" ]
G.K.Savvidy and K.G.Savvidy
hep-th/9409027
$SU_3$ coherent state operators and invariant correlation functions and their quantum group counterparts
Coherent state operators (CSO) are defined as operator valued functions on G=SL(n,C), homogeneous with respect to right multiplication by lower triangular matrices. They act on a model space containing all holomorphic finite dimensional representations of G with multiplicity 1. CSO provide an analytic tool for studying...
1994-09-05
2009-10-28
[ "hep-th" ]
H. Sazdjian, Y.S. Stanev and I.T. Todorov
hep-th/9409029
Mirror Symmetry and An Exact Calculation of N-2 Point Correlation Function on Calabi-Yau Manifold embedded in CP^{N-1}
We consider an (N-2)-dimensional Calabi-Yau manifold which is defined as the zero locus of the polynomial of degree N (of Fermat type) in CP^{N-1} and its mirror manifold. We introduce the (N-2)-point correlation function (generalized Yukawa coupling) and evaluate it both by solving the Picard-Fuchs equation for period...
1994-09-05
2015-06-26
[ "hep-th" ]
Masao Jinzenji and Masaru Nagura (Department of Phisics, The University of Tokyo)
hep-th/9409024
Finite W_3 Transformations in a Multi-time Approach
Classical {\W}$_3$ transformations are discussed as restricted diffeomorphism transformations (\W-Diff) in two-dimensional space. We formulate them by using Riemannian geometry as a basic ingredient. The extended {\W}$_3$ generators are given as particular combinations of Christoffel symbols. The defining equations of ...
1994-09-05
2011-08-17
[ "hep-th" ]
J. Gomis, J. Herrero, K. Kamimura, J. Roca
hep-th/9409033
On a Generalized Kepler-Coulomb System: Interbasis Expansions
This paper deals with a dynamical system that generalizes the Kepler-Coulomb system and the Hartmann system. It is shown that the Schr\"odinger equation for this generalized Kepler-Coulomb system can be separated in prolate spheroidal coordinates. The coefficients of the interbasis expansions between three bases (spher...
1994-09-05
2007-05-23
[ "hep-th" ]
M. Kibler, L.G. Mardoyan, and G.S. Pogosyan
hep-th/9409025
Yangians and Classical Lie Algebras
We study in detail the structure of the Yangian Y(gl(N)) and of some new Yangian-type algebras called twisted Yangians. The algebra Y(gl(N)) is a `quantum' deformation of the universal enveloping algebra U(gl(N)[x]), where gl(N)[x] is the Lie algebra of gl(N)-valued polynomial functions. The twisted Yangians are quanti...
1994-09-05
2008-02-03
[ "hep-th" ]
A. Molev, M. Nazarov, G. Olshanskii
hep-th/9409031
Dual Statistical Systems and Geometrical String
We analyse statistical system with interface energy proportional to the length of the edges of interface. We have found the dual system high temperature expansion of which equally well generates surfaces with linear amplitude. These dual systems are in the same relation as 3D Ising ferromagnet to the 3D Gauge spin syst...
1994-09-05
2009-10-28
[ "hep-th" ]
G.K.Savvidy, K.G.Savvidy and P.G.Savvidy
hep-th/9409023
Proper Time Formalism, Gauge Invariance and the Effects of a Finite World Sheet Cutoff in String Theory
We discuss the issue of going off-shell in the proper time formalism. This is done by keeping a finite world sheet cutoff. We construct one example of an off-shell covariant Klein Gordon type interaction. For a suitable choice of the gauge transformation of the scalar field, gauge invariance is maintained off mass shel...
1994-09-04
2011-08-17
[ "hep-th" ]
B. Sathiapalan
hep-th/9409016
W-Algebras from Soliton Equations and Heisenberg Subalgebras
We derive sufficient conditions under which the ``second'' Hamiltonian structure of a class of generalized KdV-hierarchies defines one of the classical $\cal W$-algebras obtained through Drinfel'd-Sokolov Hamiltonian reduction. These integrable hierarchies are associated to the Heisenberg subalgebras of an untwisted af...
1994-09-03
2016-09-06
[ "hep-th" ]
C.R. Fernandez-Pousa, M.V. Gallas, J.L. Miramontes and J. Sanchez Guillen
hep-th/9409017
The BRST Charge for the $\hat{D}(2,1;\a)$ Non-Linear Quasi-Superconformal Algebra
The quantum BRST charge for the most general, two-dimensional, non-linear, $N=4$ quasi-superconformal algebra $\hat{D}(1,2;\a)$, whose linearisation is the so-called `large' $N=4$ superconformal algebra, is constructed. The $\hat{D}(1,2;\a)$ algebra has $\Hat{su(2)}_{k^+}\oplus \Hat{su(2)}_{k^-}\oplus\Hat{u(1)}$ Ka\v{c...
1994-09-03
2015-06-26
[ "hep-th" ]
Sergei V. Ketov
hep-th/9409022
Algorithmic information and simplicity in statistical physics
Given a list of $N$ states with probabilities $0<p_1\leq\cdots\leq p_N$, the average conditional algorithmic information $\bar I$ to specify one of these states obeys the inequality $H\leq\bar I<H+O(1)$, where $H=-\sum p_j\log_2p_j$ and $O(1)$ is a computer-dependent constant. We show how any universal computer can be ...
1994-09-03
2009-09-25
[ "hep-th" ]
R. Schack (University of New Mexico)
hep-th/9409021
A New Class of Exact Solutions in String Theory
We prove that a large class of leading order string solutions which generalize both the plane-wave and fundamental string backgrounds are, in fact, exact solutions to all orders in \alpha'. These include, in particular, the traveling waves along the fundamental string. The key features of these solutions are a null sym...
1994-09-03
2008-11-26
[ "hep-th", "gr-qc" ]
Gary T. Horowitz and A.A. Tseytlin
hep-th/9409020
How Many $N=4$ Strings Exist ?
Possible ways of constructing extended fermionic strings with $N=4$ world-sheet supersymmetry are reviewed. String theory constraints form, in general, a non-linear quasi(super)conformal algebra, and can have conformal dimensions $\geq 1$. When $N=4$, the most general $N=4$ quasi-superconformal algebra to consider for ...
1994-09-03
2010-04-06
[ "hep-th" ]
Sergei V. Ketov
hep-th/9409019
Spontaneous symmetry breaking of (1+1)-dimensional $\bf \phi^4$ theory in light-front field theory (III)
We investigate (1+1)-dimensional $\phi^4$ field theory in the symmetric and broken phases using discrete light-front quantization. We calculate the perturbative solution of the zero-mode constraint equation for both the symmetric and broken phases and show that standard renormalization of the theory yields finite resul...
1994-09-03
2009-10-28
[ "hep-th" ]
John Hiller, Steve Pinsky, and Brett van de Sande
hep-th/9409018
Geometric Interpretation of Electromagnetism in a Gravitational Theory with Space--Time Torsion
A complete geometric unification of gravity and electromagnetism is proposed by considering two aspects of torsion: its relation to spin established in Einstein--Cartan theory and the possible interpretation of the torsion trace as the electromagnetic potential. Starting with a Lagrangian built of Dirac spinors, orthon...
1994-09-03
2007-05-23
[ "hep-th" ]
Kenichi Horie (Institut f"ur Physik, Johannes Gutenberg--Universit"at Mainz, D--55099 Mainz, Germany)
hep-th/9409014
Noncommutative Differential Calculus on the Kappa-Minkowski Space
Following the construction of the $\kappa$-Minkowski space from the bicrossproduct structure of the $\kappa$-Poincare group, we investigate possible differential calculi on this noncommutative space. We discuss then the action of the Lorentz quantum algebra and prove that there are no 4D bicovariant differential calcul...
1994-09-02
2011-07-18
[ "hep-th" ]
Andrzej Sitarz
hep-th/9409012
Introduction to Quantum Algebras
The concept of a quantum algebra is made easy through the investigation of the prototype algebras $u_{qp}(2)$, $su_q(2)$ and $u_{qp}(1,1)$. The latter quantum algebras are introduced as deformations of the corresponding Lie algebras~; this is achieved in a simple way by means of $qp$-bosons. The Hopf algebraic structur...
1994-09-02
2008-02-03
[ "hep-th", "math.QA" ]
Maurice R. Kibler
hep-th/9409006
Quantum Aspects of Supersymmetric Maxwell Chern-Simons Solitons
We study the various quantum aspects of the $N=2$ supersymmetric Maxwell Chern-Simons vortex systems. The fermion zero modes around the vortices will give rise the degenerate states of vortices. We analyze the angular momentum of these zero modes and apply the result to get the supermultiplet structures of the vortex. ...
1994-09-02
2011-07-19
[ "hep-th" ]
Bum-Hoon Lee(Hanyang U.) and Hyunsoo Min(Seoul City U.)
hep-th/9409008
Darboux Transformations for Supersymmetric Korteweg - de Vries Equations
\hspace{.2in}We consider the Darboux type transformations for the spectral problems of supersymmetric KdV systems. The supersymmetric analogies of Darboux and Darboux-Levi transformations are established for the spectral problems of Manin-Radul-Mathieu sKdV and Manin-Radul sKdV. Several B\"acklund transformations are d...
1994-09-02
2009-10-28
[ "hep-th" ]
Q.P. Liu
hep-th/9409015
Off-shell Closed String Amplitudes: Towards a Computation of the Tachyon Potential
We derive an explicit formula for the evaluation of the classical closed string action for any off-shell string field, and for the calculation of arbitrary off-shell amplitudes. The formulae require a parametrization, in terms of some moduli space coordinates, of the family of local coordinates needed to insert the off...
1994-09-02
2010-11-01
[ "hep-th" ]
Alexander Belopolsky, Barton Zwiebach
hep-th/9409013
Instabilities of Magnetically Charged Black Holes
The stability of the magnetically charged Reissner-Nordstrom black hole solution is investigated in the context of a theory with massive charged vector mesons. By exploiting the spherical symmetry of the problem, the linear perturbations about the Reissner-Nordstrom solution can be decomposed into modes of definite ang...
1994-09-02
2010-11-01
[ "hep-th" ]
S. Alexander Ridgway and Erick J. Weinberg
hep-th/9409010
High Temperature Phase Transitions in Two-Scalar Theories with Large $N$ Techniques
We consider a theory of a scalar one-component field $\phi$ coupled to a scalar $N$-component field $\chi$. Using large $N$ techiques we calculate the effective potential in the leading order in $1/N$. We show that this is equivalent to a resummation of an infinite subclass of graphs in perturbation theory, which invol...
1994-09-02
2010-11-01
[ "hep-th" ]
J.A. Adams and N. Tetradis
hep-th/9409011
Remarks on Non-Abelian Duality
A class of two-dimensional globally scale-invariant, but not conformally invariant, theories is obtained. These systems are identified in the process of discussing global and local scaling properties of models related by duality transformations, based on non-semisimple isometry groups. The construction of the dual part...
1994-09-02
2009-10-28
[ "hep-th" ]
S. Elitzur, A. Giveon, E. Rabinovici, A. Schwimmer and G. Veneziano
hep-th/9409009
Renormalization group flow in one- and two-matrix models
Large-$N$ renormalization group equations for one- and two-matrix models are derived. The exact renormalization group equation involving infinitely many induced interactions can be rewritten in a form that has a finite number of coupling constants by taking account of reparametrization identities. Despite the nonlinear...
1994-09-02
2014-03-25
[ "hep-th" ]
Saburo Higuchi, Chigak Itoi, Shinsuke Nishigaki and Norisuke Sakai
hep-th/9408177
Quantum supergroups and topological invariants of three - manifolds
The Reshetikhin - Turaeve approach to topological invariants of three - manifolds is generalized to quantum supergroups. A general method for constructing three - manifold invariants is developed, which requires only the study of the eigenvalues of certain central elements of the quantum supergroup in irreducible repre...
1994-09-01
2009-10-28
[ "hep-th", "math.QA" ]
R. B. Zhang
hep-th/9409004
Renormalization Group 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. The harmonic oscillator and the propagation on curved spaces are presented as examples. The hamiltonian and the lagrangian scaling relations are obtained. These evolutio...
1994-09-01
2009-10-28
[ "hep-th" ]
Janos Polonyi
hep-th/9408178
Gravitational Instantons and Moduli Spaces of Topological 2-form Gravity
A topological version of four-dimensional (Euclidean) Einstein gravity which we propose regards anti-self-dual 2-forms and an anti-self-dual part of the frame connections as fundamental fields. The theory describes the moduli spaces of conformally self-dual Einstein manifolds for the non-zero cosmological constant case...
1994-09-01
2011-09-09
[ "hep-th" ]
Mitsuko Abe, A. Nakamichi and T. Ueno
hep-th/9409003
Gauge-Yukawa Unification in Asymptotically Non-free Theories
We study asymptotically non-free gauge theories and search for renormalization group invariant (i.e. technically natural) relations among the couplings which lead to successful gauge-Yukawa unification. To be definite, we consider a supersymmetric model based on $SU(4)\times SU(2)_{R}\times SU(2)_{L}$. It is found th...
1994-09-01
2009-10-28
[ "hep-th" ]
Jisuke Kubo, Myriam Mondragon, Nicholas D. Tracas and George Zoupanos
hep-th/9409002
Effective Field Theories from QCD
We present a method for extracting effective Lagrangians from QCD. The resulting effective Lagrangians are based on exact rewrites of cut-off QCD in terms of these new collective field degrees of freedom. These cut-off Lagrangians are thus ``effective'' in the sense that they explicitly contain some of the physical lon...
1994-09-01
2009-10-28
[ "hep-th", "hep-ph" ]
R. Sollacher
hep-th/9409007
BRST Charge for the Orthogonal Series of Bershadsky-Knizhnik Quasi-Superconformal Algebras
The quantum BRST charges for the Bershadsky-Knizhnik orthogonal quasi-superconformal algebras are constructed. These two-dimensional superalgebras have the $N$-extended non-linearly realised supersymmetry and the $SO(N)$ internal symmetry. The BRST charge nilpotency conditions are shown to have a unique solution at $N>...
1994-09-01
2007-05-23
[ "hep-th" ]
Sergei V. Ketov
hep-th/9408179
Differential calculus on quantum groups: Constructive procedure
A brief review of the construction and classifiaction of the bicovariant differential calculi on quantum groups is given.
1994-09-01
2007-05-23
[ "hep-th" ]
B. Jurco
hep-th/9409001
Geometrical formulation for the Siegel superparticle}
In the superspace $z^M = (x^\mu,\theta_R,\theta_L)$ the global symmetries for $d$ = 10 superparticle model with kinetic terms both for Bose and Fermi variables are shown to form a superalgebra, which includes the Poincar\'e superalgebra as a subalgebra. The subalgebra is realized in the space of variables of the theory...
1994-09-01
2007-05-23
[ "hep-th" ]
A.A. Deriglazov and A.V.Galajinsky
hep-th/9409005
Charged Cosmic String Nucleation in de Sitter Space
We investigate the quantum nucleation of pairs of charged circular cosmic strings in de Sitter space. By including self-gravity we obtain the classical potential energy barrier and compute the quantum mechanical tunneling probability in the semiclassical approximation. We also discuss the classical evolution of charged...
1994-09-01
2010-11-01
[ "hep-th" ]
Minos Axenides and Arne L. Larsen
hep-th/9408174
Gauge-Invariant Variables and Mandelstam Constraints in SU(2) Gauge Theory
The recent solution of the Mandelstam constraints for SU(2) is reviewed. This enables the subspace of physical configurations of an SU(2) pure gauge theory on the lattice (introduced solely to regulate the number of fields) with 3N physical degrees of freedom to be fully described in terms of 3N gauge-invariant continu...
1994-08-31
2009-10-28
[ "hep-th", "hep-lat" ]
N.J. Watson
hep-th/9408175
Some beautiful equations of mathematical physics
The basic ideas and the important role of gauge principles in modern elementary particle physics are outlined. There are three theoretically consistent gauge principles in quantum field theory: the spin-1 gauge principle of electromagnetism and the standard model, the spin-2 gauge principle of general relativity, and t...
1994-08-31
2008-02-03
[ "hep-th", "math-ph", "math.MP" ]
Daniel Z. Freedman
hep-th/9408173
$U_q(sl(n))$ Difference Operator Realization
A unified and systematic scheme for constraction of differential opreator realization of any irreducible representation of $sl(n)$ is developed. The $q$-analogue of this unified scheme is used to constract $q$-difference operator realization of any irreducible representation of $U_q(sl(n))$. Explicit results for $U_q(s...
1994-08-31
2009-10-28
[ "hep-th", "math.QA" ]
Azizollah Shafiekhani (ISTPM, Tehran, Iran)
hep-th/9408176
The Weinberg Propagators
An analog of the $j=1/2$ Feynman-Dyson propagator is presented in the framework of the $j=1$ Weinberg's theory. The basis for this construction is the concept of the Weinberg field as a system of four field functions differing by parity and by dual transformations.
1994-08-31
2011-04-20
[ "hep-th" ]
Valeri Dvoeglazov (Universidad Autonoma de Zacatecas)
hep-th/9408167
Deformed Minimal Models and Generalized Toda Theory
We introduce a generalization of $A_{r}$-type Toda theory based on a non-abelian group G, which we call the $(A_{r},G)$-Toda theory, and its affine extensions in terms of gauged Wess-Zumino-Witten actions with deformation terms. In particular, the affine $(A_{1},SU(2))$-Toda theory describes the integrable deformation ...
1994-08-30
2009-10-28
[ "hep-th" ]
Q-Han Park and H.J.Shin
hep-th/9408169
On Gravitational Shock Waves in Curved Spacetimes
Some years ago Dray and 't Hooft found the necessary and sufficient conditions to introduce a gravitational shock wave in a particular class of vacuum solutions to Einstein's equations. We extend this work to cover cases where non-vanishing matter fields and cosmological constant are present. The sources of gravitation...
1994-08-30
2009-10-28
[ "hep-th", "gr-qc" ]
Konstadinos Sfetsos
hep-th/9408171
Target Space Duality In Orbifolds With Continuous And Discrete Wilson Lines
Duality Symmetry is studied for heterotic string orbifold compactifications in the presence of a general background which in addition to the metric and antisymmetric tensor contains both discrete and continuous Wilson lines background.
1994-08-30
2010-11-01
[ "hep-th" ]
D. Bailin, A. Love, W. A. Sabra and S. Thomas
hep-th/9408170
Cartan Calculus: Differential Geometry for Quantum Groups
A rigid framework for the Cartan calculus of Lie derivatives, inner derivations, functions, and forms is proposed. The construction employs a semi-direct product of two graded Hopf algebras, the respective super-extensions of the deformed universal enveloping algebra and the algebra of functions on a quantum group. Rel...
1994-08-30
2008-02-03
[ "hep-th", "math.QA" ]
Peter Schupp
hep-th/9408172
Decoherence and Vacuum Fluctuations
The interference pattern of coherent electrons is effected by coupling to the quantized electromagnetic field. The amplitudes of the interference maxima are changed by a factor which depends upon a double line integral of the photon two-point function around the closed path of the electrons. The interference pattern is...
1994-08-30
2011-04-15
[ "hep-th", "cond-mat" ]
L.H. Ford (Tufts Univ.)
hep-th/9408168
Instanton Moduli and Topological Soliton Dynamics
It has been proposed by Atiyah and Manton that the dynamics of Skyrmions may be approximated by motion on a finite dimensional manifold obtained from the moduli space of SU(2) Yang-Mills instantons. Motivated by this work we describe how similar results exist for other soliton and instanton systems. We describe in deta...
1994-08-30
2009-10-28
[ "hep-th" ]
Paul Sutcliffe
hep-th/9408166
The Dirac Equation Revisited
A peculiar representation of the Lorentz group is suggested as a starting point for a consistent approach to relativistic quantum theory.
1994-08-30
2008-02-03
[ "hep-th" ]
F. Antonuccio
hep-th/9408161
On evaluation of two-loop self-energy diagram with three propogator
Small momentum expansion of the "sunset" diagram with three different masses is obtained. Coefficients at powers of $p^2$ are evaluated explicitly in terms of dilogarithms and elementary functions. Also some power expansions of "sunset" diagram in terms of different sets of variables are given.
1994-08-29
2009-10-28
[ "hep-th" ]
F.A.Lunev
hep-th/9408163
Topology of a Nontopological Magnetic Monopole
Certain nontopological magnetic monopoles, recently found by Lee and Weinberg, are reinterpreted as topological solitons of a non-Abelian gauged Higgs model. Our study makes the nature of the Lee-Weinberg monopoles more transparent, especially with regard to their singularity structure.
1994-08-29
2009-10-28
[ "hep-th" ]
Choonkyu Lee and Piljin Yi
hep-th/9408165
Representations of Clifford Algebras and its Applications
A real representation theory of real Clifford algebra has been studied in further detail, especially in connection with Fierz identities. As its application, we have constructed real octonion algebras as well as related octonionic triple system in terms of 8-component spinors associated with the Clifford algebras $C(0,...
1994-08-29
2007-05-23
[ "hep-th" ]
Susumu Okubo
hep-th/9408164
Yang-Mills Fields and Riemannian Geometry
It is possible to define new, gauge invariant variables in the Hilbert space of Yang-Mills theories which manifestly implement Gauss' law on physical states. These variables have furthermore a geometrical meaning, and allow one to uncover further constraints physical states must satisfy. For gauge group $SU(2)$, the un...
1994-08-29
2009-10-28
[ "hep-th" ]
Peter E. Haagensen and Kenneth Johnson
hep-th/9408157
Matrix Realization of Gauge Theory on Discrete Group $Z_2$
We construct a $2\times 2$ matrix algebra as representation of functions on discrete group $Z_2$ and develop the gauge theory on discrete group proposed by Starz in the matrix algebra. Accordingly, we show that the non-commutative geometry model built by R.Conquereax, G.Esposito-Farese and G.Vaillant results from this ...
1994-08-29
2007-05-23
[ "hep-th" ]
Jianming Li
hep-th/9408160
On the Classification of Modular Fusion Algebras
We introduce the notion of (nondegenerate) strong-modular fusion algebras. Here strongly-modular means that the fusion algebra is induced via Verlinde's formula by a representation of the modular group SL(2,Z) whose kernel contains a congruence subgroup. Furthermore, nondegenerate means that the conformal dimensions of...
1994-08-29
2009-10-28
[ "hep-th" ]
Wolfgang Eholzer
hep-th/9408159
Gauge theory on $Z_2 \times Z_2 \ti Z_2 $ Discrete Group and a Spontaneous $CP$ Violation Toy Model
In the spirit of Non-commutative differential calculus on discrete group, we construct a toy model of spontaneous $CP$ violation (SCPV). Our model is different from the well-known Weinberg-Branco model although it involves three Higgs doublets and preserve neutral flavor current conservation (NFC) after using the $Z_2 ...
1994-08-29
2019-08-17
[ "hep-th" ]
Bin Chen, Hao-Gang Ding and Ke Wu
hep-th/9408158
Representation Theory of The $W_{1+\infty}$ Algebra
We review the recent development in the representation theory of the $W_{1+\infty}$ algebra. The topics that we concern are, Quasifinite representation, Free field realizations, (Super) Matrix Generalization, Structure of subalgebras such as $W_\infty$ algebra, Determinant formula, Character formula. (Invited talk at `...
1994-08-29
2008-11-26
[ "hep-th" ]
H.Awata, M.Fukuma, Y.Matsuo, S.Odake
hep-th/9408162
The $\eta$-Invariant as a Lagrangian of a Topological Quantum Field Theory
We dicuss functorial consequences of way the eta invariant of Dirac operators behaves under gluing and change of boundary conditions.
1994-08-29
2007-05-23
[ "hep-th" ]
Ulrich Bunke
hep-th/9408154
Weak Measurements
Weak measurement is a standard measuring procedure with two changes: it is performed on pre- and post-selected quantum systems and the coupling to the measuring device is weakened. The outcomes of weak measurements, ``weak values'' are very different for the eigenvalues of the measured operators. The weak values yield ...
1994-08-28
2009-09-25
[ "hep-th" ]
Lev Vaidman
hep-th/9408153
The Meaning of Protective Measurements
Protective measurements, which we have introduced recently, allow to measure properties of the state of a single quantum system and even the Schr\"odinger wave itself. These measurements require a protection, sometimes due to an additional procedure and sometimes due to the potential of the system itself. The analysis ...
1994-08-28
2007-05-23
[ "hep-th" ]
Yakir Aharonov, Jeeva Anandan and Lev Vaidman
hep-th/9408152
Standard Model With Higgs As Gauge Field On Fourth Homotopy Group
Based upon a first principle, the generalized gauge principle, we construct a general model with $G_L\times G'_R \times Z_2$ gauge symmetry, where $Z_2=\pi_4(G_L)$ is the fourth homotopy group of the gauge group $G_L$, by means of the non-commutative differential geometry and reformulate the Weinberg-Salam model and th...
1994-08-28
2011-04-20
[ "hep-th" ]
Hanying Guo, Jianming Li and Ke Wu
hep-th/9408151
A $SU(2)$ Generalized Gauge Field Model With Higgs Mechanism
By means of the non-commutative differential geometry, we construct an $SU(2)$ generalized gauge field model. It is of $SU(2) \times \pi_4(SU(2))$ gauge invariance. We show that this model not only includes the Higgs field automatically on the equal footing with ordinary Yang-Mills gauge potentials but also is stable a...
1994-08-28
2019-08-15
[ "hep-th" ]
Hanying Guo and Jianming Li, 7 pages, Latex, ASITP-94-25
hep-th/9408150
The $\sigma$-Model and Non-commutative Geometry
In terms of non-commutative geometry, we show that the $\sigma$--model can be built up by the gauge theory on discrete group $Z_2$. We introduce a constraint in the gauge theory, which lead to the constraint imposed on linear $\sigma$ model to get nonlinear $\sigma$ model .
1994-08-28
2007-05-23
[ "hep-th" ]
Hanying Guo, Jianming Li and Ke Wu, 10 pages, Latex ASITP-93-67
hep-th/9408155
Phases of N=1 supersymmetric gauge theories in four dimensions
We exhibit $N=1$ supersymmetric field theories in confining, Coulomb and Higgs phases. The superpotential and the gauge kinetic terms are holomorphic and can be determined exactly in the various phases. The Coulomb phase generically has points with massless monopoles. When they condense, the theory undergoes a phase tr...
1994-08-28
2009-09-15
[ "hep-th", "hep-ph" ]
K. Intriligator and N. Seiberg
hep-th/9408144
Conformally Exact Black Hole Perturbed by a Marginal Operator
We have examined effective theory induced by gauged WZW models, in which the tachyon field is added as a marginal operator. Due to this operator added, we must further add the higher order corrections, which modifies the original configuration, to make the theory full-conformally invariant. It has been found that 2d is...
1994-08-26
2009-10-28
[ "hep-th" ]
Kazuo Ghoroku
hep-th/9408145
The exponential map for the unitary group SU(2,2)
In this article we extend our previous results for the orthogonal group, $SO(2,4)$, to its homomorphic group $SU(2,2)$. Here we present a closed, finite formula for the exponential of a $4\times 4$ traceless matrix, which can be viewed as the generator (Lie algebra elements) of the $SL(4,C)$ group. We apply this result...
1994-08-26
2009-10-28
[ "hep-th", "math.QA" ]
A. O. Barut, J. R. Zeni, A. J. Laufer
hep-th/9408141
Mathematical remarks on the cohomology of gauge groups and anomalies
Anomalies can be viewed as arising from the cohomology of the Lie algebra of the group of gauge transformations and also from the topological cohomology of the group of connections modulo gauge transformations. We show how these two approaches are unified by the transgression map. We discuss the geometry behind the cur...
1994-08-26
2007-05-23
[ "hep-th" ]
A.L. Carey and M.K. Murray
hep-th/9408148
Spontaneous Breakdown of the Lorentz Invariance in Three-Dimensional Gauge Theories
In a class of renormalizable three-dimensional abelian gauge theory the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field $B$. The true ground state resembles that of the quantum Hall effect. An originally topologically massive photon becomes gapless, fulfilling the role of the Namb...
1994-08-26
2007-05-23
[ "hep-th" ]
Yutaka Hosotani
hep-th/9408143
Quantum groups and zeta-functions
A $q$-analogue of the Hurwitz zeta-function is introduced through considerations on the spectral zeta-function of quantum group $SU_{q}(2)$, and its analytic aspects are studied via the Euler-MacLaurin summation formula. Asymptotic formulas of some relevant $q$-functions are discussed.
1994-08-26
2008-02-03
[ "hep-th", "math.QA" ]
Kimio Ueno and Michitomo Nishizawa
hep-th/9408142
Explicit supertring vacua in a background of gravitational waves and dilaton
We present an explicit solution of superstring effective equations, represented by gravitational waves and dilaton backgrounds. Particular solutions will be examined in a forthcoming note.
1994-08-26
2009-08-25
[ "hep-th" ]
A. Petermann, A. Zichichi
hep-th/9408156
Bounce in Valley: Study of the extended structures from thick-wall to thin-wall vacuum bubbles
The valley structure associated with quantum meta-stability is examined. It is defined by the new valley equation, which enables consistent evaluation of the imaginary-time path-integral. We study the structure of this new valley equation and solve these equations numerically. The valley is shown to contain the bounce ...
1994-08-26
2009-10-28
[ "hep-th" ]
Hideaki Aoyama and Shinya Wada
hep-th/9408147
Zero Modes of Gauss' Constraint in Gaugeless Reduction of Yang - Mills Theory
The physical variables for pure Yang - Mills theory in four - dimensional Minkowskian space time are constructed without using a gauge fixing condition} by the explicit resolving of the non - Abelian Gauss constraint and by the Bogoliubov transformation that diagonalizes the kinetic term in reduced action (action on co...
1994-08-26
2011-07-19
[ "hep-th" ]
A. Khvedelidze, V. Pervushin
hep-th/9408149
Pauli-Villars Regularization of Supergravity Coupled to Chiral and Yang-Mills Matter
It is shown that the one-loop quadratic divergences of standard supergravity can be regulated by the introduction of heavy Pauli-Villars fields belonging to chiral and abelian gauge multiplets. The resulting one-loop correction can be interpreted as a renormalization of the K\"ahler potential. Regularization of the dil...
1994-08-26
2009-10-28
[ "hep-th" ]
Mary K. Gaillard
hep-th/9408146
What Particles Are Described by the Weinberg Theory?
The main goal of the paper is to study the origins of a contradiction between the Weinberg theorem B-A=\lambda and the `longitudinality' of an antisymmetric tensor field (and of a Weinberg field which is equivalent to it), transformed on the (1,0)\oplus (0,1) Lorentz group representation. On the basis of analysis of dy...
1994-08-26
2011-04-20
[ "hep-th" ]
Valeri Dvoeglazov (Universidad Autonoma de Zacatecas)
hep-th/9408136
Exceptional structure of the dilute A$_3$ model: E$_8$ and E$_7$ Rogers--Ramanujan identities
The dilute A$_3$ lattice model in regime 2 is in the universality class of the Ising model in a magnetic field. Here we establish directly the existence of an E$_8$ structure in the dilute A$_3$ model in this regime by expressing the 1-dimensional configuration sums in terms of fermionic sums which explicitly involve t...
1994-08-25
2016-09-06
[ "hep-th", "nlin.SI", "solv-int" ]
Ole Warnaar and Paul A. Pearce
hep-th/9408140
Two dimensional QCD is a string theory
This text, written as dissertation within the M.Sc. course in particle theory at the Centre for Particle Theory, University of Durham, during the academic year 1993/94, reviews two articles by D.Gross and by D.Gross and W.Taylor which interpret the 1/N- expansion of the partition function of $QCD_2$ as string perturbat...
1994-08-25
2016-08-15
[ "hep-th" ]
S{\o}ren K\"oster
hep-th/9408137
Quantum Corrections for a Cosmological String Solution
We investigate quantum corrections for a cosmological solution of the string effective action. Starting point is a classical solution containing an antisymmetric tensor field, a dilaton and a modulus field which has singularities in the scalar fields. As a first step we quantize the scalar fields near the singularity w...
1994-08-25
2007-05-23
[ "hep-th", "gr-qc" ]
K. Behrndt
hep-th/9408139
Remarks on the Star-Triangle Relation in the Baxter-Bazhanov Model
In this letter we show that the restricted star-triangle relation introduced by Bazhanov and Baxter can be obtained either from the star-triangle relation of chiral Potts model or from the star-square relation which is proposed by Kashaev $et ~al$ and give a response of the guess which is suggested by Bazhanov and Baxt...
1994-08-25
2009-10-28
[ "hep-th" ]
Zhan-Ning Hu, Bo-Yu Hou
hep-th/9408135
Functional Relations and Analytic Bethe Ansatz for Twisted Quantum Affine Algebras
Functional relations are proposed for transfer matrices of solvable vertex models associated with the twisted quantum affine algebras $U_q(X^{(\kappa)}_n)$ where $X^{(\kappa)}_n = A^{(2)}_n, D^{(2)}_n, E^{(2)}_6$ and $D^{(3)}_4$. Their solutions are obtained for $A^{(2)}_n$ and conjectured for $D^{(3)}_4$ in the dresse...
1994-08-25
2009-10-28
[ "hep-th" ]
Atsuo Kuniba and Junji Suzuki
hep-th/9408138
Baxter-Bazhanov Model, Frenkel-Moore Equation and the Braid Group
In this paper the three-dimensional vertex model is given, which is the duality of the three-dimensional Baxter-Bazhanov (BB) model. The braid group corresponding to Frenkel-Moore equation is constructed and the transformations $R, I$ are found. These maps act on the group and denote the rotations of the braids through...
1994-08-25
2009-09-25
[ "hep-th" ]
Zhan-Ning Hu
hep-th/9408132
Coleman-Weinberg Phase Transition in Two-Scalar Models
We explore the Coleman-Weinberg phase transition in regions outside the validity of perturbation theory. For this purpose we study a Euclidean field theory with two scalars and discrete symmetry in four dimensions. The phase diagram is established by a numerical solution of a suitable truncation of exact non-perturbati...
1994-08-24
2014-11-18
[ "hep-th", "hep-ph" ]
S. Bornholdt, N. Tetradis, and C. Wetterich
hep-th/9408134
Hot String Soup
Above the Hagedorn energy density closed fundamental strings form a long string phase. The dynamics of weakly interacting long strings is described by a simple Boltzmann equation which can be solved explicitly for equilibrium distributions. The average total number of long strings grows logarithmically with total energ...
1994-08-24
2010-11-01
[ "hep-th" ]
D.A. Lowe and L. Thorlacius
hep-th/9408131
Equations for Correlation Functions of Eight-Vertex Model: Ferromagnetic and Disordered Phases
The Kyoto group (Jimbo, Miwa, Nakayashikiet al.) showed that the partition function and correlation funtions of the eight-vertex model in antiferromagnetic phases can be calculated using simple analytical properties of the $R$-matrix. We extend these methods to ferromagnetic and disordered phases. We use Baxter's symme...
1994-08-24
2008-02-03
[ "hep-th" ]
M. Yu. Lashkevich
hep-th/9408130
Nonlocal Matrix Generalizations of N=2 Super Virasoro Algebra
We study the generalization of second Gelfand-Dickey bracket to the superdifferential operators with matrix-valued coefficients. The associated Miura transformation is derived. Using this bracket we work out a nonlocal and nonlinear N=2 superalgebra which contains the N=2 super Virasoro algebra as a subalgebra. The bos...
1994-08-24
2011-07-19
[ "hep-th" ]
Wen-Jui Huang
hep-th/9408133
Solitons and Helices: The Search for a Math-Physics Bridge
We present evidence for an undiscovered link between N=2 supersymmetric quantum field theories and the mathematical theory of helices of coherent sheaves. We give a thorough review for nonspecialists of both the mathematics and physics involved, and invite the reader to take up the search for this elusive connection.
1994-08-24
2009-10-28
[ "hep-th", "alg-geom", "math.AG" ]
Eric Zaslow
hep-th/9408126
Supersymmetry, Vacuum Statistics, and the Fundamental Theorem of Algebra
I give an interpretation of the fundamental theorem of algebra based on supersymmetry and the Witten index. The argument gives a physical explanation of why a real polynomial of degree $n$ need not have $n$ real zeroes, while a complex polynomial of degree $n$ must have $n$ complex zeroes. This paper also addresses in ...
1994-08-23
2009-10-28
[ "hep-th" ]
Donald Spector
hep-th/9408127
Algebraic characterization of anomalies in chiral WW_{3} gravity
The anomalies which occur in chiral WW_{3} gravity are characterized by solving the BRS consistency condition.
1994-08-23
2015-06-26
[ "hep-th" ]
Marcelo Carvalho, Luiz Claudio Queiroz Vilar and S.P. Sorella
hep-th/9408123
On Little Groups and Boosts of $\kappa$-deformed Poincare Group
We show how Wigner's little group approach to the representation theory of Poincar\'e group may be generalized to the case of $\kappa$-deformed Poincar\'e group. We also derive the deformed Lorentz transformations of energy and momentum. We find that if the $\kappa$-deformed Poincar\'e group is adopted as the fundame...
1994-08-23
2007-05-23
[ "hep-th" ]
S. Rouhani and A. Shariati
hep-th/9408121
Duality of Orbifoldized Elliptic Genera
We discuss duality and mirror symmetry phenomena of Landau-Ginzburg orbifolds considering their elliptic genera. Under the duality (or mirror) transform performed by orbifoldizing the Landau-Ginzburg model via some discrete group of the superpotential we observe that the roles of the untwisted and twisted sectors are e...
1994-08-23
2008-11-26
[ "hep-th" ]
Toshiya Kawai and Sung-Kil Yang
hep-th/9408128
Fermionic Operators from Bosonic Fields in 3+1 Dimensions
We present a construction of fermionic operators in 3+1 dimensions in terms of bosonic fields in the framework of $QED_4$. The basic bosonic variables are the electric fields $E_i$ and their conjugate momenta $A_i$. Our construction generalizes the analogous constuction of fermionic operators in 2+1 dimensions. Loosely...
1994-08-23
2009-10-28
[ "hep-th" ]
A. Kovner and B. Rosenstein
hep-th/9408122
Kalb-Ramond interaction for a closed p-brane
The Kalb-Ramond action for an interacting string is generalized to the case of a high-dimensional object (p-brane). The interaction is found to be mediated by a gauge boson of a completely antisymmetric tensor of rank $p+1$.
1994-08-23
2019-08-17
[ "hep-th" ]
Motowo Yamanobe, Sumio Ishikawa, Yasuhiro Iwama, Tadashi Miyazaki, Kazuyoshi Yamamoto, Ritsu Yoshida
hep-th/9408125
Multiplicative BRST renormalization of the $SU(2)$ Higgs model
We reformulate the proof of the renormalization of a spontaneously broken gauge theory by multiplicatively renormalizing the vacuum expectation value of the Higgs field in the $SU(2)$~Higgs model.
1994-08-23
2009-10-28
[ "hep-th" ]
Anne Schilling and Peter van Nieuwenhuizen
hep-th/9408129
Barriers in Quantum Gravity
I discuss recent progress in our understanding of two barriers in quantum gravity: $c > 1$ in the case of 2d quantum gravity and $D > 2$ in the case of Euclidean Einstein-Hilbert gravity formulated in space-time dimensions $D >2$.
1994-08-23
2016-11-03
[ "hep-th" ]
Jan Ambjorn
hep-th/9408124
Search for Scaling Dimensions for Random Surfaces with c=1
We study numerically the fractal structure of the intrinsic geometry of random surfaces coupled to matter fields with $c=1$. Using baby universe surgery it was possible to simulate randomly triangulated surfaces made of 260.000 triangles. Our results are consistent with the theoretical prediction $d_H = 2+\sqrt{2}$ for...
1994-08-23
2009-10-28
[ "hep-th", "hep-lat" ]
J. Ambjorn P. Bialas, Z. Burda, J. Jurkiewicz and B. Petersson
hep-th/9408120
On Kinks and Bound States in the Gross-Neveu Model
We investigate static space dependent $\sigx=\lag\bar\psi\psi\rag$ saddle point configurations in the two dimensional Gross-Neveu model in the large N limit. We solve the saddle point condition for $\sigx$ explicitly by employing supersymmetric quantum mechanics and using simple properties of the diagonal resolvent of ...
1994-08-22
2016-08-24
[ "hep-th", "cond-mat", "hep-ph" ]
Joshua Feinberg (Theory Group, Physics Dept. The Univ. of Texas at Austin)
hep-th/9408119
The Classification of SU(m)_{k} Automorphism Invariants
In this paper we find all permutations of the level k weights of the affine algebra A_r^{(1)} which commute with both its S and T modular matrices. We find that all of these are simple current automorphisms and their conjugations. Previously, the A_{r,k}^{(1)} automorphism invariants were known only for r=1,2 \forall k...
1994-08-22
2007-05-23
[ "hep-th" ]
Terry Gannon
hep-th/9408118
A Random Surface Theory with Non-Trivial $\gamma_{string}$
We measure by Monte Carlo simulations $\g_{string}$ for a model of random surfaces embedded in three dimensional Euclidean space-time. The action of the string is the usual Polyakov action plus an extrinsic curvature term. The system undergoes a phase transition at a finite value $\l_c$ of the extrinsic curvature coupl...
1994-08-22
2009-10-28
[ "hep-th", "hep-lat" ]
J. Ambjorn, Z. Burda, J. Jurkiewicz and B. Petersson
hep-th/9408117
Production of soft photons from the quark-gluon plasma in hot QCD- Screening of mass singularities
It has been reported that, within the hard-thermal-loop resummation scheme, the production rate of soft real photons from a hot quark-gluon plasma exhibits unscreened mass singularities. We show that still higher-order resummations screen the mass singularities and obtain the finite soft-photon production rate to leadi...
1994-08-22
2016-08-14
[ "hep-th" ]
A. Ni\'egawa
hep-th/9408114
Discrete Differential Manifolds and Dynamics on Networks
A `discrete differential manifold' we call a countable set together with an algebraic differential calculus on it. This structure has already been explored in previous work and provides us with a convenient framework for the formulation of dynamical models on networks and physical theories with discrete space and time....
1994-08-21
2009-10-28
[ "hep-th", "gr-qc" ]
A. Dimakis, F. M"uller-Hoissen and F. Vanderseypen
hep-th/9408115
Large $N$ Phases of Chiral QCD_2
A matrix model is constructed which describes a chiral version of the large $N$ $U(N)$ gauge theory on a two-dimensional sphere of area $A$. This theory has three separate phases. The large area phase describes the associated chiral string theory. An exact expression for the free energy in the large area phase is used ...
1994-08-21
2009-10-28
[ "hep-th" ]
M. Crescimanno and W. Taylor
hep-th/9408116
The B model as a twisted spinning particle
The B-twisted topological sigma model coupled to topological gravity is supposed to be described by an ordinary field theory: a type of holomorphic Chern-Simons theory for the open string, and the Kodaira-Spencer theory for the closed string. We show that the B model can be represented as a PARTICLE theory, obtained by...
1994-08-21
2010-11-01
[ "hep-th" ]
Neil Marcus and Shimon Yankielowicz
hep-th/9408113
Dilogarithm identities
We study the dilogarithm identities from algebraic, analytic, asymptotic, $K$-theoretic, combinatorial and representation-theoretic points of view. We prove that a lot of dilogarithm identities (hypothetically all !) can be obtained by using the five-term relation only. Among those the Coxeter, Lewin, Loxton and Browki...
1994-08-20
2008-11-26
[ "hep-th", "math.CA", "math.QA" ]
Anatol N. Kirillov