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hep-th/9408111
Hilbert Space Representation of an Algebra of Observables for q-Deformed Relativistic Quantum Mechanics
Using a representation of the q-deformed Lorentz algebra as differential operators on quantum Minkowski space, we define an algebra of observables for a q-deformed relativistic quantum mechanics with spin zero. We construct a Hilbert space representation of this algebra in which the square of the mass $ p^2 $ is diagon...
1994-08-19
2010-11-01
[ "hep-th" ]
W. Zippold
hep-th/9408112
Conformal Invariance of Interacting WZNW Models
We consider two level $k$ WZNW models coupled to each other through a generalized Thirring-like current-current interaction. It is shown that in the large $k$ limit, this interacting system can be presented as a two-parameter perturbation around a nonunitary WZNW model. The perturbation operators are the sigma model ki...
1994-08-19
2007-05-23
[ "hep-th" ]
O. A. Soloviev
hep-th/9408110
Computation of Yukawa Couplings for Calabi-Yau Hypersurfaces in Weighted Projective Spaces
Greene, Morrison and Plesser \cite{GMP} have recently suggested a general method for constructing a mirror map between a $d$-dimensional Calabi-Yau hypersurface and its mirror partner for $d > 3$. We apply their method to smooth hypersurfaces in weighted projective spaces and compute the Chern numbers of holomorphic cu...
1994-08-19
2009-10-28
[ "hep-th" ]
Yakov Kanter
hep-th/9408106
Crossed modules and quantum groups in braided categories II
This is the second part of the paper. Results of the first part about crossed modules are applied here to study of quantum groups in braided categories. Correct cross product in the class of quantum braided groups is built. Criterion when quantum braided group is cross product is otained.
1994-08-18
2008-02-03
[ "hep-th", "math.QA" ]
Yuri Bespalov
hep-th/9408104
Affine Lie Algebraic Origin of Constrained KP Hierarchies
We present an affine $sl (n+1)$ algebraic construction of the basic constrained KP hierarchy. This hierarchy is analyzed using two approaches, namely linear matrix eigenvalue problem on hermitian symmetric space and constrained KP Lax formulation and we show that these approaches are equivalent. The model is recognized...
1994-08-18
2009-10-28
[ "hep-th" ]
H. Aratyn, J.F. Gomes and A.H. Zimerman
hep-th/9408107
A Feynman-graph generator for any order of coupling constants
A computer program has been developed which generates Feynman graphs automatically for scattering and decay processes in non-Abelian gauge theory of high-energy physics. A new acceleration method is presented for both generating and eliminating graphs. This method has been shown to work quite efficiently for any order ...
1994-08-18
2009-10-28
[ "hep-th" ]
Toshiaki Kaneko
hep-th/9408108
A Manifestly Gauge-Invariant Approach to Quantum Theories of Gauge Fields
In gauge theories, physical histories are represented by space-time connections modulo gauge transformations. The space of histories is thus intrinsically non-linear. The standard framework of constructive quantum field theory has to be extended to face these {\it kinematical} non-linearities squarely. We first present...
1994-08-18
2007-05-23
[ "hep-th" ]
A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourao, T. Thiemann
hep-th/9408109
Free field realizations in representation theory and conformal field theory
Invited lecture at the International Congress of Mathematicians, Zuerich, August 3-11, 1994 (extended version), reviews free field realizations of affine Kac-Moody and W-algebras and their applications.
1994-08-18
2008-02-03
[ "hep-th", "math.QA" ]
Edward Frenkel
hep-th/9408103
Potential energy in quantum gravity
We give a general expression for the static potential energy of the gravitational interaction of two massive particles, in terms of an invariant vacuum expectation value of the quantized gravitational field. This formula holds for functional integral formulations of euclidean quantum gravity, regularized to avoid confo...
1994-08-18
2009-10-28
[ "hep-th" ]
Giovanni Modanese (Max-Planck-Institut fuer Physik, Werner-Heisenberg-Institut, Muenchen.)
hep-th/9408105
The Exponential Map for the Conformal Group 0(2,4)
We present a general method to obtain a closed, finite formula for the exponential map from the Lie algebra to the Lie group, for the defining representation of the orthogonal groups. Our method is based on the Hamilton-Cayley theorem and some special properties of the generators of the orthogonal group, and is also in...
1994-08-18
2011-07-19
[ "hep-th" ]
A.O.Barut, J.R.Zeni, A.J.Laufer
hep-th/9408102
Crossed modules and quantum groups in braided categories I
Let $H$ be a Hopf algebra in braided category $\cal C$. Crossed modules over $H$ are objects with both module and comodule structures satisfying some comatibility condition. Category ${\cal C}^H_H$ of crossed modules is braided and is concrete realization of general categorical construction. For quantum braided group $...
1994-08-18
2008-02-03
[ "hep-th", "math.QA" ]
Yuri Bespalov
hep-th/9408101
Conformal Factor Dynamics in the 1/N Expansion
We suggest to consider conformal factor dynamics as applying to composite boundstates, in frames of the $1/N$ expansion. In this way, a new model of effective theory for quantum gravity is obtained. The renormalization group (RG) analysis of this model provides a framework to solve the cosmological constant problem, si...
1994-08-17
2009-09-17
[ "hep-th" ]
E. Elizalde and S.D. Odintsov
hep-th/9408099
Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
We study four dimensional $N=2$ supersymmetric gauge theories with matter multiplets. For all such models for which the gauge group is $SU(2)$, we derive the exact metric on the moduli space of quantum vacua and the exact spectrum of the stable massive states. A number of new physical phenomena occur, such as chiral sy...
1994-08-17
2010-04-07
[ "hep-th", "hep-ph" ]
N. Seiberg and E. Witten
hep-th/9408096
Topology and quantization of abelian sigma model in (1+1) dimensions
It is known that there exist an infinite number of inequivalent quantizations on a topologically nontrivial manifold even if it is a finite-dimensional manifold. In this paper we consider the abelian sigma model in (1+1) dimensions to explore a system having infinite degrees of freedom. The model has a field variable $...
1994-08-17
2009-10-28
[ "hep-th" ]
Shogo Tanimura
hep-th/9408100
Field Redefinition Invariance and "Extra Terms"
We investigate the issue of coordinate redefinition invariance by carefully performing nonlinear transformations in the discretized quantum mechanical path integral. By resorting to hamiltonian path integral methods, we provide the first complete derivation of the extra terms (beyond the usual jacobian term) which aris...
1994-08-17
2009-10-28
[ "hep-th", "cond-mat", "hep-ph" ]
K.M. Apfeldorf and C.R. Ordonez
hep-th/9408098
Strings on a Cone and Black Hole Entropy
String propagation on a cone with deficit angle $2\pi (1- \frac{1}{N} ) $ is described by constructing a non-compact orbifold of a plane by a $Z_{N}$ subgroup of rotations. It is modular invariant and has tachyons in the twisted sectors that are localized to the tip of the cone. A possible connection with the quantum c...
1994-08-17
2009-10-28
[ "hep-th" ]
Atish Dabholkar
hep-th/9408095
The Effective Action in Gauged Supergravity on Hyperbolic Background and Induced Cosmological Constant
The one-loop effective action for 4-dimensional gauged supergravity with negative cosmological constant, is investigated in space-times with compact hyperbolic spatial section. The explicit expansion of the effective action as a power series of the curvature on hyperbolic background is derived, making use of heat-kerne...
1994-08-17
2009-09-17
[ "hep-th" ]
A.A. Bytsenko, S.D. Odintsov and s. Zerbini
hep-th/9408093
On equivalence between Bose/Fermi Virasoro characters
On the basis of the Andrews--Bailey construction, we derive fermionic sum representations of Virasoro characters of non unitary minimal models ${\cal M}(k,kp+p-1)$ and ${\cal M}(k,kp+1)$. These expressions include certain expressions conjectured by the Stony Brook group as special cases.
1994-08-17
2016-09-06
[ "hep-th", "math.QA" ]
Yas-Hiro Quano
hep-th/9408097
Combinatorial Quantization of the Hamiltonian Chern-Simons Theory II
This paper further develops the combinatorial approach to quantization of the Hamiltonian Chern Simons theory advertised in \cite{AGS}. Using the theory of quantum Wilson lines, we show how the Verlinde algebra appears within the context of quantum group gauge theory. This allows to discuss flatness of quantum connecti...
1994-08-17
2015-06-26
[ "hep-th" ]
A. Yu. Alekseev, H. Grosse, V. Schomerus
hep-th/9408094
Bracket Symmetries of the Classical N=1 String
We show that it is possible to extend Moore's analysis of the classical scattering amplitudes of the bosonic string to those of the N=1 superstring. Using the bracket relations we are able to show that all possible amplitudes involving both bosonic and fermionic string states at arbitrary mass levels can be expressed i...
1994-08-17
2007-05-23
[ "hep-th" ]
Jonathan D. Edwards
hep-th/9408089
Geometric Entropy, Wave Functionals, and Fermions
We develop techniques for calculating the ground state wave functional and the geometric entropy for some simple field theories. Special attention is devoted to fermions, which present special technical difficulties in this regard. Explicit calculations are carried through for free mass bosons and fermions in two dimen...
1994-08-16
2015-06-26
[ "hep-th", "gr-qc" ]
Finn Larsen and Frank Wilczek
hep-th/9408085
Anomalous Magnetic Moment of Anyons
The anomalous magnetic moment of anyons is calculated to leading order in a 1/N expansion. It is shown that the gyromagnetic ratio g remains 2 to the leading order in 1/N. This result strongly supports that obtained in \cite{poly}, namely that g=2 is in fact exact.
1994-08-16
2009-10-28
[ "hep-th", "cond-mat" ]
Gil Gat and Rashmi Ray
hep-th/9408087
General branching functions of affine Lie algebras
Explicit expressions are presented for general branching functions for cosets of affine Lie algebras $\hat{g}$ with respect to subalgebras $\hat{g}^\prime$ for the cases where the corresponding finite dimensional algebras $g$ and $g^\prime$ are such that $g$ is simple and $g^\prime$ is either simple or sums of $u(1)$ t...
1994-08-16
2011-07-19
[ "hep-th" ]
Stephen Hwang and Henric Rhedin
hep-th/9408092
Conserved charges and soliton solutions in affine Toda theory
We study the conserved charges of affine Toda field theories by making use of the conformally invariant extension of these theories. We compute the values of all charges for the single soliton solutions, and show that these are related to eigenvectors of the Cartan matrix of the finite-dimensional Lie algebra underlyin...
1994-08-16
2009-10-28
[ "hep-th" ]
Michael Freeman
hep-th/9408090
Split Involution Coupled to Actual Gauge Symmetry
The split involution quantization scheme, proposed previously for pure second--class constraints only, is extended to cover the case of the presence of irreducible first--class constraints. The explicit Sp(2)--symmetry property of the formalism is retained to hold. The constraint algebra generating equations are formul...
1994-08-16
2015-06-26
[ "hep-th" ]
I. A. Batalin, S.L.Lyakhovich and I. V. Tyutin
hep-th/9408086
Virasoro character identities from the Andrews--Bailey construction
We prove $q$-series identities between bosonic and fermionic representations of certain Virasoro characters. These identities include some of the conjectures made by the Stony Brook group as special cases. Our method is a direct application of Andrews' extensions of Bailey's lemma to recently obtained polynomial identi...
1994-08-16
2016-09-06
[ "hep-th", "math.QA" ]
Omar Foda and Yas-Hiro Quano
hep-th/9408088
Postmodern String Theory: Stochastic Formulation
In this paper we study the dynamics of a statistical ensemble of strings, building on a recently proposed gauge theory of the string geodesic field. We show that this stochastic approach is equivalent to the Carath\'eodory formulation of the Nambu-Goto action, supplemented by an averaging procedure over the family of c...
1994-08-16
2019-08-17
[ "hep-th" ]
A.Aurilia, E.Spallucci, I.Vanzetta
hep-th/9408091
On the Coleman-Hill Theorem
The Coleman-Hill theorem prohibits the appearance of radiative corrections to the topological mass (more precisely, to the parity-odd part of the vacuum polarization tensor at zero momentum) in a wide class of abelian gauge theories in 2+1 dimensions. We re-express the theorem in terms of the effective action rather th...
1994-08-16
2009-10-28
[ "hep-th" ]
Avinash Khare, R. MacKenzie and M.B. Paranjape
hep-th/9408081
A variational approach to the QCD wave functional:Dynamical mass generation and confinement
We perform a variational calculation in the SU(N) Yang Mills theory in 3+1 dimensions. Our trial variational states are explicitly gauge invariant, and reduce to simple Gaussian states in the zero coupling limit. Our main result is that the energy is minimized for the value of the variational parameter away form the pe...
1994-08-15
2009-10-28
[ "hep-th", "hep-ph" ]
Ian I. Kogan and Alex Kovner
hep-th/9408084
Superradiance around Rotating Dilatonic Black Hole
We consider a superradiance effect around rotating dilatonic black holes. We analyze two cases: one is an exact solution with the coupling constant $\alpha=\sqrt{3}$, which effective action is reduced from the 5-dimensional Kaluza-Klein theory, and the other is a slowly rotating dilatonic black holes with arbitrary cou...
1994-08-15
2009-10-28
[ "hep-th", "gr-qc" ]
Jun-ichirou Koga and Kei-ichi Maeda
hep-th/9408082
Extension of the N=2 Virasoro algebra by two primary fields of dimension 2 and 3
We explicitly construct the extension of the N=2 super Virasoro algebra by two super primary fields of dimension two and three with vanishing u(1)-charge. Using a super covariant formalism we obtain two different solutions both consistent for generic values of the central charge c. The first one can be identified with ...
1994-08-15
2009-10-28
[ "hep-th" ]
Ralph Blumenhagen and Andreas Wisskirchen
hep-th/9408083
Strong-Weak Coupling Duality in Three Dimensional String Theory
Following an old result of Marcus and Schwarz we argue that in the heterotic string theory compactified on a seven dimensional torus, the target space duality group O(7,23;Z) and the strong-weak coupling duality transformations combine into the group O(8,24;Z). We discuss symmetry of the combined spectrum of elementary...
1994-08-15
2009-09-15
[ "hep-th" ]
Ashoke Sen
hep-th/9408080
The Dynamical Algebra of the Hydrogen Atom as a Twisted Loop Algebra
We show that the dynamical symmetry of the hydrogen atom leads in a natural way to an infinite-dimensional algebra, which we identify as the positive subalgebras of twisted Kac-Moody algebras of $ so(4)$. We also generalize our results to the $N$-dimensional hydrogen atom. For odd $N$, we identify the dynamical algebra...
1994-08-14
2008-02-03
[ "hep-th" ]
C. Daboul, J. Daboul and P. Slodowy
hep-th/9408077
Mapping Between Antisymmetric Tensor And Weinberg Formulations
In the framework of the classical field theory a mapping between antisymmetric tensor matter fields and Weinberg's $2(2j+1)$ component "bispinor" fields is considered. It is shown that such a mapping exists and equations which describe the $j=1$ antisymmetric tensor field coincide with the Hammer-Tucker equations compl...
1994-08-13
2011-04-20
[ "hep-th" ]
Valeri V. Dvoeglazov (Universidad Autonoma de Zacatecas)
hep-th/9408078
Representations of tensor categories and Dynkin diagrams
In this note we illustrate by a few examples the general principle: interesting algebras and representations defined over Z_+ come from category theory, and are best understood when their categorical origination has been discovered. We show that indecomposable Z_+-representations of the character ring of SU(2) satisfyi...
1994-08-13
2008-02-03
[ "hep-th", "math.QA" ]
Pavel Etingof and Mikhail Khovanov
hep-th/9408079
The Chern-Simons Coefficient in the Higgs Phase
We study one-loop corrections to the Chern-Simons coefficient $\kappa$ in abelian self-dual Chern-Simons Higgs systems and their $N=2$ and $N=3$ supersymmetric generalizations in both symmetric and asymmetric phases. One-loop corrections to the Chern-Simons coefficient of these systems turn out to be integer multiples ...
1994-08-13
2011-07-19
[ "hep-th", "cond-mat" ]
H.-C. Kao, K. Lee, C. Lee and T. Lee
hep-th/9408071
Dynamics of relativistic particle with Lagrangian dependent on acceleration
Models of relativistic particle with Lagrangian ${\cal L}(k_1)$, depending on the curvature of the worldline $k_1$, are considered. By making use of the Frenet basis, the equations of motion are reformulated in terms of the principal curvatures of the worldline. It is shown that for arbitrary Lagrangian function ${\cal...
1994-08-12
2009-10-28
[ "hep-th" ]
V.V. Nesterenko, A. Feoli, and G. Scarpetta
hep-th/9408068
On "Non-Geometric" Contribution To The Entropy Of Black Hole Due To Quantum Corrections
The quantum corrections to the entropy of charged black holes are calculated. The Reissner-Nordstrem and dilaton black holes are considered. The appearance of logarithmically divergent terms not proportional to the horizon area is demonstrated. It is shown that the complete entropy which is sum of classical Bekenstein-...
1994-08-12
2011-05-05
[ "hep-th" ]
S.N.Solodukhin
hep-th/9408076
From Weak to Strong Coupling in Two-Dimensional Gravity
The strong coupling physics of two dimensional gravity at C=7, 13, 19 is deciphered, by building up on previous works along the same line (for a recent review, of the background material, see hep-th/9408069). It is shown that chirality becomes deconfined. The string suceptibility is derived, and found to be real contra...
1994-08-12
2009-10-28
[ "hep-th" ]
Jean-Loup Gervais, Jean-Fran\c{c}ois Roussel
hep-th/9408072
Boundary terms in Nambu-Goto string action
We investigate classical strings defined by the Nambu-Goto action with the boundary term added. We demonstrate that the latter term has a significant bearing on the string dynamics. It is confirmed that new action terms that depend on higher order derivatives of string coordinates cannot be considered as continuous per...
1994-08-12
2009-10-28
[ "hep-th" ]
Leszek Hadasz and Pawel Wegrzyn (Jagellonian Univ.)
hep-th/9408074
A Strong Coupling Test of S-Duality
By studying the partition function of $N=4$ topologically twisted supersymmetric Yang-Mills on four-manifolds, we make an exact strong coupling test of the Montonen-Olive strong-weak duality conjecture. Unexpected and exciting links are found with two-dimensional rational conformal field theory.
1994-08-12
2010-04-07
[ "hep-th" ]
Cumrun Vafa and Edward Witten
hep-th/9408075
A Note on Abelian Conversion of Constraints
We show that for a system containing a set of general second class constraints which are linear in the phase space variables, the Abelian conversion can be obtained in a closed form and that the first class constraints generate a generalized shift symmetry. We study in detail the example of a general first order Lagran...
1994-08-12
2008-11-26
[ "hep-th" ]
Ricardo Amorim and Ashok Das
hep-th/9408070
Algebras with Operator and Campbell--Hausdorff Formula
We introduce some new classes of algebras and estabilish in these algebras Campbell--Hausdorff like formula. We describe the application of these constructions to the problem of the connectivity of the Feynman graphs corresponding to the Green functions in Quantum Fields Theory.
1994-08-12
2009-10-28
[ "hep-th", "math.QA" ]
O. M. Khudaverdian (Yerevan State University)
hep-th/9408073
Tree-Level Unitarity Constraints on the Gravitational Couplings of Higher-Spin Massive Fields
We analyse the high-energy behavior of tree-level graviton Compton amplitudes for particles of mass m and arbitrary spin, concentrating on a combination of forward amplitudes that will be unaffected by eventual cross- couplings to other, higher spins. We first show that for any spin larger than 2, tree-level unitarity ...
1994-08-12
2008-11-26
[ "hep-th", "gr-qc" ]
A.Cucchieri, S. Deser and M. Porrati
hep-th/9408069
Quantum deformations of $sl(2)$: The hard core of two dimensional gravity
The quantum group structure of the Liouville theory is reviewd and shown to be an important tool for solving the theory.
1994-08-12
2009-09-25
[ "hep-th" ]
Jean-Loup Gervais
hep-th/9408066
Black-hole thermodynamics and renormalization
Ultraviolet regime in quantum theory with horizons, contrary to ordinary theory, depends on the temperature of the system due to additional surface divergences in the effective action. We evaluate their general one-loop structure paying attention to effects of the curvature of the space-time near the horizon. In partic...
1994-08-11
2009-10-28
[ "hep-th" ]
Dmitri Fursaev
hep-th/9408067
Algebraic renormalization of antisymmetric tensor matter fields
The algebraic renormalization of a recently proposed abelian axial gauge model with antisymmetric tensor matter fields is presented.
1994-08-11
2009-10-28
[ "hep-th" ]
Vitor Lemes, Ricardo Renan and S. P. Sorella
hep-th/9408065
Global Aspects of the WZNW Reduction to Toda Theories
It is well-known that the Toda Theories can be obtained by reduction from the Wess-Zumino-Novikov-Witten (WZNW) model, but it is less known that this WZNW $\rightarrow$ Toda reduction is \lq incomplete'. The reason for this incompleteness being that the Gauss decomposition used to define the Toda fields from the WZNW f...
1994-08-11
2008-11-26
[ "hep-th" ]
I. Tsutsui and L. Feher
hep-th/9408059
On The Inhomogeneous Quantum Groups
Using the multi-parametric deformation of the algebra of functions on $ \GL{n+1} $ and the universal enveloping algebra $ \U{\igl{n+1}} $, we construct the multi-parametric quantum groups $ \IGLq{n} $ and $ \Uq{\igl{n}} $.
1994-08-10
2008-02-03
[ "hep-th", "math.QA" ]
A. Shariati and A. Aghamohammadi
hep-th/9408062
Harmonic Superspaces in Low Dimensions
Harmonic superspaces for spacetimes of dimension $d\leq 3$ are constructed. Some applications are given.
1994-08-10
2010-04-06
[ "hep-th" ]
P.S.Howe and M.I.Leeming
hep-th/9408063
Tachyon Condensates and Anisotropic Universe
We investigate the cosmological solutions in closed bosonic string theory in the presence of non zero tachyon condensate. We specifically obtain time dependent solutions which describe an anisotropic universe. We also discuss the nature of such time dependent solutions when small tachyon fluctuations around the condens...
1994-08-10
2009-10-28
[ "hep-th" ]
Swapna Mahapatra and Sudipta Mukherji
hep-th/9408061
Vacuum Mass Spectra for SU(N) Self-Dual Chern-Simons-Higgs Systems
We study the $SU(N)$ self-dual Chern-Simons-Higgs systems with adjoint matter coupling, and show that the sixth order self-dual potential has $p(N)$ gauge inequivalent degenerate minima, where $p(N)$ is the number of partitions of $N$. We compute the masses of the gauge and scalar excitations in these different vacua, ...
1994-08-10
2009-10-28
[ "hep-th" ]
Gerald Dunne
hep-th/9408064
$A_\infty$ Algebras and the Cohomology of Moduli Spaces
We introduce the notion of cyclic cohomology of an A-infinity algebra and show that the deformations of an A-infinity algebra which preserve an invariant inner product are classified by this cohomology. We use this result to construct some cycles on the moduli space of algebraic curves. The paper also contains a review...
1994-08-10
2008-02-03
[ "hep-th", "math.QA" ]
Michael Penkava and Albert Schwarz
hep-th/9408060
O(d,d;R) Deformations of Complex Structures and Extended Worldsheet Supersymmetry
It is shown that the O(d,d;R) deformations of the superstring vacua and the O(d,d+16;R) deformations of the heterotic string vacua preserve extended worldsheet supersymmetry and, hence, generate superconformal deformations. The transformations of the complex structures are given explicitly and the action of the discret...
1994-08-10
2009-10-28
[ "hep-th" ]
S. F. Hassan
hep-th/9408058
Exact, E=0, Solutions for General Power-Law Potentials. II. Quantum Wave Functions
For zero energy, $E=0$, we derive exact, quantum solutions for {\it all} power-law potentials, $V(r) = -\gamma/r^{\nu}$, with $\gamma > 0$ and $-\infty < \nu < \infty$. The solutions are, in general, Bessel functions of powers of $r$. For $\nu > 2$ and $l \ge 1$ the solutions are normalizable; they correspond to states...
1994-08-09
2007-05-23
[ "hep-th" ]
Jamil Daboul and Michael Martin Nieto
hep-th/9408051
The topological string associated with a simple singularity of type $D$
The partition function of $D_{N+1}$ topological string, the coupled system of topological gravity and $D_{N+1}$ topological minimal matter , is proposed in the framework of KP hierarchy. It is specified by the elements of $GL(\infty)$ which constitute the deformed family from the $A_{2N-1}$ topological string. Its disp...
1994-08-09
2014-11-18
[ "hep-th" ]
Toshio Nakatsu
hep-th/9408054
High Temperature Field Theory Beyond Perturbation Theory
For realistic values of the Higgs boson mass the high temperature electroweak phase transition cannot be described perturbatively. The symmetric phase is governed by a strongly interacting $SU(2)$ gauge theory. Typical masses of excitations and scales of condensates are set by the ``high temperature confinement scale''...
1994-08-09
2008-02-03
[ "hep-th" ]
Christof Wetterich
hep-th/9408052
Spatial Geometry of Hamiltonian Gauge Theories
The Hamiltonians of $SU(2)$ and $SU(3)$ gauge theories in 3+1 dimensions can be expressed in terms of gauge invariant spatial geometric variables, i.e., metrics, connections and curvature tensors which are simple local functions of the non-Abelian electric field. The transformed Hamiltonians are local. New results from...
1994-08-09
2009-10-28
[ "hep-th" ]
Daniel Z. Freedman
hep-th/9408057
Exact, E=0, Solutions for General Power-Law Potentials. I. Classical Orbits
For zero energy, $E=0$, we derive exact, classical solutions for {\em all} power-law potentials, $V(r)=-\gamma/r^\nu$, with $\gamma>0$ and $-\infty <\nu<\infty$. When the angular momentum is non-zero, these solutions lead to the orbits $\r(t)= [\cos \mu (\th(t)-\th_0(t))]^{1/\mu}$, for all $\mu \equiv \nu/2-1 \ne 0$. W...
1994-08-09
2009-10-28
[ "hep-th" ]
Jamil Daboul and Michael Martin Nieto
hep-th/9408055
Geometry and Dynamics with Time-Dependent Constraints
We describe how geometrical methods can be applied to a system with explicitly time-dependent second-class constraints so as to cast it in Hamiltonian form on its physical phase space. Examples of particular interest are systems which require time-dependent gauge fixing conditions in order to reduce them to their physi...
1994-08-09
2007-05-23
[ "hep-th", "gr-qc" ]
Jonathan M. Evans and Philip A. Tuckey
hep-th/9408053
Background Independent Algebraic Structures in Closed String Field Theory
We construct a Batalin-Vilkovisky (BV) algebra on moduli spaces of Riemann surfaces. This algebra is background independent in that it makes no reference to a state space of a conformal field theory. Conformal theories define a homomorphism of this algebra to the BV algebra of string functionals. The construction begin...
1994-08-09
2016-09-06
[ "hep-th" ]
Ashoke Sen and Barton Zwiebach
hep-th/9408050
The Exact Renormalization Group and Approximations
We review the Exact Renormalization Group equations of Wegner and Houghton in an approximation which permits both numerical and analytical studies of nonperturbative renormalization flows. We obtain critical exponents numerically and with the local polynomial approximation (LPA), and discuss the advantages and shortcom...
1994-08-09
2009-09-25
[ "hep-th" ]
Peter E. Haagensen, Yuri Kubyshin, Jos\'e Ignacio Latorre and E. Moreno
hep-th/9408056
Anyonic FRT construction
The Faddeev-Reshetikhin-Takhtajan method to construct matrix bialgebras from non-singular solutions of the quantum Yang-Baxter equation is extended to the anyonic or $\Z_n$-graded case. The resulting anyonic quantum matrices are braided groups in which the braiding is given by a phase factor.
1994-08-09
2009-10-28
[ "hep-th" ]
Shahn Majid and M.J. Rodriguez-Plaza
hep-th/9408046
Large N Phase Transitions and Multi-Critical Behaviour in Generalized 2D QCD
Using matrix model techniques we investigate the large N limit of generalized 2D Yang-Mills theory. The model has a very rich phase structure. It exhibits multi-critical behavior and reveals a third order phase transitions at all genera besides {\it torus}. This is to be contrasted with ordinary 2D Yang-Mills which, at...
1994-08-08
2009-10-28
[ "hep-th" ]
B.Rusakov and S.Yankielowicz
hep-th/9408044
Symplectic Quantization for Reducible Systems
We study an extension of the symplectic formalism in order to quantize reducible systems. We show that a procedure like {\it ghost-of-ghost} of the BFV method can be applied in terms of Lagrange multipliers. We use the developed formalism to quantize the antisymmetric Abelian gauge fields.
1994-08-08
2015-06-26
[ "hep-th" ]
J. Barcelos-Neto and M.B.D. Silva
hep-th/9408048
N=2 Current Algebras for Non-Semi-Simple Groups
We examine the problem of constructing N=2 superconformal algebras out of N=1 non-semi-simple affine Lie algebras. These N=2 superconformal theories share the property that the super Virasoro central charge depends only on the dimension of the Lie algebra. We find, in particular, a construction having a central charge ...
1994-08-08
2010-11-01
[ "hep-th" ]
N. Mohammedi
hep-th/9408043
Finite Fermion Density Effects on the Electroweak String
We consider an Electroweak string in the background of a uniform distribution of cold fermionic matter. As a consequence of the fermion number non-conservation in the Weinberg-Salam model, the string produces a long-range magnetic field.
1994-08-08
2009-10-28
[ "hep-th", "hep-ph" ]
G.Bimonte and G.Lozano
hep-th/9408049
A Nonstandard Supersymmetric KP Hierarchy
We show that the supersymmetric nonlinear Schr\"odinger equation can be written as a constrained super KP flow in a nonstandard representation of the Lax equation. We construct the conserved charges and show that this system reduces to the super mKdV equation with appropriate identifications. We construct various flows...
1994-08-08
2015-06-26
[ "hep-th" ]
J. C. Brunelli and A. Das
hep-th/9408047
Inequivalence of the Massive Vector Meson and Higgs Models on a Manifold with Boundary
The exact quantization of two models, the massive vector meson model and the Higgs model in the London limit, both describing massive photons, is presented. Even though naive arguments (based on gauge-fixing) may indicate the equivalence of these models, it is shown here that this is not true in general when we conside...
1994-08-08
2014-11-18
[ "hep-th", "cond-mat" ]
L. Chandar, E. Ercolessi
hep-th/9408045
Constrained Analysis of Topologically Massive Gravity
We quantize the Einstein gravity in the formalism of weak gravitational fields by using the constrained Hamiltonian method. Special emphasis is given to the 2+1 spacetime dimensional case where a (topological) Chern-Simons term is added to the Lagrangian.
1994-08-08
2009-10-28
[ "hep-th" ]
J. Barcelos-Neto and T.G. Dargam
hep-th/9408042
Lotka--Volterra Type Equations and their Explicit Integration
In the present note we give an explicit integration of some two--dimensionalised Lotka--Volterra type equations associated with simple Lie algebras, other than the familiar $A_n$ case, possessing a representation without branching. This allows us, in particular, to treat the first fundamental representations of $A_r$, ...
1994-08-08
2009-10-28
[ "hep-th" ]
Jean-Loup Gervais, Mikhail V. Saveliev
hep-th/9408041
Current-Like Variables in Massive and Massless Integrable Models
Lectures delivered at the International School of Physics "Enrico Fermi", held in Villa Monastero, Varenna, Italy, 94.
1994-08-07
2007-05-23
[ "hep-th" ]
L.D. Faddeev
hep-th/9408040
Extremal black holes as exact string solutions
We show that the leading order solution describing an extremal electrically charged black hole in string theory is, in fact, an exact solution to all orders in $\a'$ when interpreted in a Kaluza-Klein fashion. This follows from the observation that it can be obtained via dimensional reduction from a five dimensional ba...
1994-08-06
2009-09-17
[ "hep-th", "gr-qc" ]
G.T. Horowitz and A.A. Tseytlin
hep-th/9408037
Realizations of the Monster Lie algebra
We study aspects of the theory of generalized Kac-Moody Lie algebras (or Borcherds algebras) and their standard modules. It is shown how such an algebra with no mutually orthogonal imaginary simple roots, including Borcherds' Monster Lie algebra $\frak m$, can be naturally constructed from a certain Kac-Moody subalgebr...
1994-08-05
2008-02-03
[ "hep-th", "math.QA" ]
Elizabeth Jurisich, James Lepowsky and R. L. Wilson
hep-th/9408033
Superstrings from Hamiltonian Reduction
In any string theory there is a hidden, twisted superconformal symmetry algebra, part of which is made up by the BRST current and the anti-ghost. We investigate how this algebra can be systematically constructed for strings with $N\!-\!2$ supersymmetries, via quantum Hamiltonian reduction of the Lie superalgebras $osp(...
1994-08-05
2009-10-28
[ "hep-th" ]
A. Boresch, K. Landsteiner, W. Lerche, A. Sevrin
hep-th/9408032
Projective Invariance and One-Loop Effective Action in Affine-Metric Gravity Interacting with Scalar Field
We investigate the influence of the projective invariance on the renormalization properties of the theory. One-loop counterterms are calculated in the most general case of interaction of gravity with scalar field.
1994-08-05
2010-04-06
[ "hep-th", "gr-qc" ]
M.Yu.Kalmykov, P.I.Pronin and K.V.Stepanyantz
hep-th/9408038
BFT Quantization of Chiral-Boson Theories
We use the method due to Batalin, Fradkin and Tyutin (BFT) for the quantization of chiral boson theories. We consider the Floreanini-Jackiw (FJ) formulation as well as others with linear constraints.
1994-08-05
2009-10-28
[ "hep-th" ]
R. Amorim and J. Barcelos-Neto
hep-th/9408034
Solutions of the Master Virasoro Equations as Conformal Points of Perturbed WZNW Model
It is shown that the master equation of the affine-Virasoro construction on the unitary affine algebra naturally emerges in the fusion algebra of the nonunitary level $k$ WZNW model. Operators corresponding to solutions of the master equation are suitable for performing one-parametrical renormalizable perturbation arou...
1994-08-05
2007-05-23
[ "hep-th" ]
O. A. Soloviev
hep-th/9408029
Critical Scaling and Continuum Limits in the D>1 Kazakov-Migdal Model
I investigate the Kazakov-Migdal (KM) model -- the Hermitean gauge-invariant matrix model on a D-dimensional lattice. I utilize an exact large-N solution of the KM model with a logarithmic potential to examine its critical behavior. I find critical lines associated with gamma_{string}=-1/2 and gamma_{string}=0 as well ...
1994-08-05
2009-10-28
[ "hep-th", "hep-lat" ]
Yu. Makeenko
hep-th/9408039
Breakdown of the semiclassical approximation at the black hole horizon
The definition of matter states on spacelike hypersurfaces of a 1+1 dimensional black hole spacetime is considered. The effect of small quantum fluctuations of the mass of the black hole due to the quantum nature of the infalling matter is taken into account. It is then shown that the usual approximation of treating th...
1994-08-05
2010-11-01
[ "hep-th", "gr-qc" ]
E. Keski-Vakkuri, G. Lifschytz, S.D. Mathur and M.E. Ortiz
hep-th/9408031
Inhomogeneous quantum groups IGL_{q,r}(N): Universal enveloping algebra and differential calculus
A review of the multiparametric linear quantum group GL_qr(N), its real forms, its dual algebra U(gl_qr(N)) and its bicovariant differential calculus is given in the first part of the paper. We then construct the (multiparametric) linear inhomogeneous quantum group IGL_qr(N) as a projection from GL_qr(N+1), or equiva...
1994-08-05
2009-09-02
[ "hep-th", "math.QA" ]
P. Aschieri and L. Castellani
hep-th/9408030
Yang-Mills gauge anomalies in the presence of gravity with torsion
The BRST transformations for the Yang-Mills gauge fields in the presence of gravity with torsion are discussed by using the so-called Maurer-Cartan horizontality conditions. With the help of an operator $\d$ which allows to decompose the exterior spacetime derivative as a BRST commutator we solve the Wess-Zumino consis...
1994-08-05
2010-04-06
[ "hep-th" ]
O. Moritsch, M. Schweda and T. Sommer
hep-th/9408036
On the Geometry of Moduli Space of Vacua in N=2 Supersymmetric Yang-Mills Theory
We consider generic properties of the moduli space of vacua in $N=2$ supersymmetric Yang--Mills theory recently studied by Seiberg and Witten. We find, on general grounds, Picard--Fuchs type of differential equations expressing the existence of a flat holomorphic connection, which for one parameter (i.e. for gauge grou...
1994-08-05
2017-09-07
[ "hep-th" ]
A. Ceresole, R. D'Auria and S. Ferrara
hep-th/9408035
The integrable hierarchy constructed from a pair of KdV-type hierarchies and its associated $W$ algebra
For any two arbitrary positive integers `$n$' and `$m$', using the $m$--th KdV hierarchy and the $(n+m)$--th KdV hierarchy as building blocks, we are able to construct another integrable hierarchy (referred to as the $(n,m)$--th KdV hierarchy). The $W$--algebra associated to the \shs\, of the $(n,m)$--th KdV hierarchy ...
1994-08-05
2009-10-28
[ "hep-th" ]
L. Bonora, Q.P. Liu and C.S. Xiong
hep-th/9408028
A superspace formulation of the BV action
We show that the BV (Batalin Vilkovisky) action, formulated with an extended BRST symmetry (including the shift symmetry), is also invariant under an extended anti-BRST transformation (where the antifields are the parameters of the transformation), when the gauge fixing Lagrangian is both BRST and anti-BRST invariant. ...
1994-08-04
2008-11-26
[ "hep-th" ]
Nelson R.F. Braga and Ashok Das
hep-th/9408020
On Quantum Jumps, Events and Spontaneous Localization Models
We propose a definite meaning to the concepts of "experiment", "measurement" and "event" in the event-enhanced formalism of quantum theory. A minimal piecewise deterministic process is given that can be used for a computer simulation of real time series of experiments on single quantum objects. As an example a generali...
1994-08-04
2016-09-06
[ "hep-th" ]
A. Jadczyk
hep-th/9408024
Non-Standard Fermion Propagators from Conformal Field Theory
It is shown that Weyl spinors in 4D Minkowski space are composed of primary fields of half-integer conformal weights. This yields representations of fermionic 2-point functions in terms of correlators of primary fields with a factorized transformation behavior under the Lorentz group. I employ this observation to deter...
1994-08-04
2015-06-26
[ "hep-th" ]
Rainer Dick
hep-th/9408027
Relations between some analytic representations of one-loop scalar integrals
We compare several parametrized analytic expressions for an arbitrary off-shell one-loop $n$-point function in scalar field theory in $D$-dimensional space-time, and show their equivalence both directly and through path-integral methods.
1994-08-04
2009-10-28
[ "hep-th", "hep-ph" ]
J.W. van Holten
hep-th/9408026
Circular Strings in De Sitter Spacetime
String propagation is investigated in de Sitter and black hole backgrounds using both exact and approximative methods. The circular string evolution in de Sitter space is discussed in detail with respect to energy and pressure, mathematical solution and physical interpretation, multi-string solutions etc. We compare wi...
1994-08-04
2009-09-25
[ "hep-th" ]
A.L. Larsen
hep-th/9408023
Stationarity of Inflation and Predictions of Quantum Cosmology
We describe several different regimes which are possible in inflationary cosmology. The simplest one is inflation without self-reproduction of the universe. In this scenario the universe is not stationary. The second regime, which exists in a broad class of inflationary models, is eternal inflation with the self-reprod...
1994-08-04
2009-09-29
[ "hep-th", "astro-ph", "gr-qc", "hep-ph" ]
Juan Garcia-Bellido and Andrei Linde
hep-th/9408025
The cosmon model for an asymptotically vanishing time-dependent cosmological ``constant''
We investigate the coupled system of gravity and a scalar with exponential potential. The energy momentum tensor of the scalar field induces a time-dependent cosmological ``constant''. This adjusts itself dynamically to become in the ``late'' universe (including today) proportional to the energy density of matter and r...
1994-08-04
2011-05-23
[ "hep-th", "astro-ph" ]
Christoph Wetterich
hep-th/9408021
On Quantum Jumps, Events and Spontaneous Localization Models
We propose a definite meaning to the concepts of "experiment", "measurement" and "event" in the event-enhanced formalism of quantum theory. A minimal piecewise deterministic process is given that can be used for a computer simulation of real time series of experiments on single quantum objects. As an example a generali...
1994-08-04
2016-09-06
[ "hep-th", "cond-mat", "gr-qc" ]
A. Jadczyk
hep-th/9408015
Finite-size Analysis of $O(N)$ Nonlinear $\sigma$ Model on Semi-compact Spaces
Fisher's phenomenological renormalization method is used to calculate the mass gap and the correlation length of the $O(N)$ nonlinear $\sigma$ model on a semi-compact space $S^{1}\times {\bf R}^{2}$. This shows that the ultraviolet momentum cut-off does not conflict with the infrared cut-off along the $S^{1}$ direction...
1994-08-03
2007-05-23
[ "hep-th" ]
Akira Fujii
hep-th/9408017
Projectivised representations of $U_q osp(2,2)$
We construct representations of the enveloping algebra $U_q osp(2,2)$ in terms of finite difference operators and we discuss this result in the framework of quasi-exactly-solvable equations.
1994-08-03
2007-05-23
[ "hep-th" ]
Y. Brihaye, S. Giller and P. Kosinski
hep-th/9408016
Speed of Light in Non--Trivial Vacua
We unify all existing results on the change of the speed of low--energy photons due to modifications of the vacuum, finding that it is given by a universal constant times the quotient of the difference of energy densities between the usual and modified vacua over the mass of the electron to the fourth power. Whether ph...
1994-08-03
2016-09-06
[ "hep-th" ]
J.I. Latorre, P. Pascual and R. Tarrach
hep-th/9408019
W-symmetry and the rigid particle
We prove that $\W_3$ is the gauge symmetry of the scale-invariant rigid particle, whose action is given by the integrated extrinsic curvature of its world line. This is achieved by showing that its equations of motion can be written in terms of the Boussinesq operator. The $\W_3$ generators $T$ and $W$ then appear resp...
1994-08-03
2009-10-28
[ "hep-th" ]
E. Ramos and J. Roca
hep-th/9408022
Quantum Mechanics of Multi-Prong Potentials
We describe the bound state and scattering properties of a quantum mechanical particle in a scalar $N$-prong potential. Such a study is of special interest since these situations are intermediate between one and two dimensions. The energy levels for the special case of $N$ identical prongs exhibit an alternating patter...
1994-08-03
2009-10-28
[ "hep-th" ]
A. Gangopadhyaya, A. Pagnamenta and U. Sukhatme
hep-th/9408018
Generalized QCD$_2$ via the Bilocal Method
We use the bilocal method to derive the large $N$ solution of the most general $QCD_2$.
1994-08-03
2015-06-26
[ "hep-th" ]
I. Pesando
hep-th/9408008
The coherent states: old geometrical methods in new quantum clothes
A geometric characterization of transition amplitudes between coherent states, or equivalently, of the hermitian scalar product of holomorphic cross sections in the associated D - M tilda - module, in terms of the embedding of the cohe- rent state manifold M-tilda into a projective Hilbert space is proposed. Cohe- rent...
1994-08-02
2007-05-23
[ "hep-th" ]
Stefan Berceanu
hep-th/9408006
On Type-I Quantum Affine Superalgebras
The type-I simple Lie-superalgebras are $sl(m|n)$ and $osp(2|2n)$. We study the quantum deformations of their untwisted affine extensions $U_q(sl(m|n)^{(1)})$ and $U_q(osp(2|2n)^{(1)})$. We identify additional relations between the simple generators (``extra $q$-Serre relations") which need to be imposed to properly de...
1994-08-02
2009-10-28
[ "hep-th", "math.QA" ]
Gustav W. Delius, Mark D. Gould, Jon R. Links, Yao-Zhong Zhang