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hep-th/9410134
Topological Sectors of Spin 1 Theories} in 2+1 Dimensions}
It is shown that the Topological Massive and ``Self-dual'' theories, which are known to provide locally equivalent descriptions of spin 1 theories in 2+1 dimensions, have different global properties when formulated over topologically non-trivial regions of space-time. The partition function of these theories, when cons...
1994-10-18
2014-11-18
[ "hep-th" ]
P.J.Arias and A.Restuccia
hep-th/9410133
OPE's and the Dilaton Beta-Function for the 2-D N=1 Supersymmetric Non-Linear $\sigma$-Model
Using the superspace formalism, we compute for the two-dimensional N=1 supersymmetric non-linear $\sigma$-model, the order $(\alpha^{\prime})^{2}$ $(R_{mnpq})^2$ (three-loop) correction to the central charge via the operator product expansion of the supercurrent with itself. The contribution vanishes, in agreement with...
1994-10-18
2009-10-28
[ "hep-th" ]
Marcia E. Wehlau
hep-th/9410127
Supersymmetry and Solitons: N=2 and N=0
This talk summarizes our recent work establishing an algebraic, model-independent basis for the existence of \B bounds and \B equations for topologically non-trivial solitons and instantons. Our arguments use supersymmetry in an essential way to understand both supersymmetric and non-supersymmetric theories. Our argume...
1994-10-18
2007-05-23
[ "hep-th" ]
Zvonimir Hlousek and Donald Spector
hep-th/9410123
A New Action Principle for Witten's Topological Field Theory
In this letter a new gauge invariant, metric independent action is introduced from which Witten's Topological Quantum Field Theory may be obtained after gauge fixing using standard BRST techniques. In our model the BRST algebra of transformations, under which the effective action is invariant, close off-shell in distin...
1994-10-18
2009-10-28
[ "hep-th" ]
R.Gianvittorio, A.Restuccia and J.Stephany
hep-th/9410129
Potential Scattering on $R^3\otimes s^1
In this paper we consider non-relativistic quantum mechanics on a space with an additional internal compact dimension, i.e. $R^3\otimes S^1$ instead of $R^3$. More specifically we study potential scattering for this case and the analyticity properties of the forward scattering amplitude, $T_{nn}(K)$, where $K^2$ is the...
1994-10-18
2015-06-26
[ "hep-th", "hep-ph" ]
N. N. Khuri
hep-th/9410121
O(1/N^3) Conformal Bootstrap Solution of the SU(2) x SU(2) Nambu--Jona-Lasinio Model
Using the full conformal bootstrap method an analytic expression is given in d-dimensions for the anomalous dimension of the fermion at O(1/N^3) in a large N expansion of the Nambu--Jona-Lasinio model with SU(2) x SU(2) continuous chiral symmetry.
1994-10-18
2009-10-28
[ "hep-th" ]
J.A. Gracey
hep-th/9410132
Mass Spectrum of Strings in Anti de Sitter Spacetime
We perform string quantization in anti de Sitter (AdS) spacetime. The string motion is stable, oscillatory in time with real frequencies $\omega_n= \sqrt{n^2+m^2\alpha'^2H^2}$ and the string size and energy are bounded. The string fluctuations around the center of mass are well behaved. We find the mass formula which i...
1994-10-18
2009-10-28
[ "hep-th", "astro-ph", "gr-qc" ]
A.L. Larsen and N. Sanchez
hep-th/9410128
Invariant Indentities in the Heisenberg Algebra
Polynomial relations between the generators of $q$--deformed Heisenberg algebra invariant under the quantization and $q$-deformation are discovered. One of the examples of such relations is the following: if two elements $a$ and $b$, obeying the relation \[ ab - q ba = p, \] where $p, q$ are any complex numbers, then f...
1994-10-18
2016-09-06
[ "hep-th", "funct-an", "math.FA" ]
Alexander Turbiner
hep-th/9410131
Group-Theoretical Determination of the Mixing Angle in the Electroweak Gauge Group
The assumption that the Weinberg rotation between the gauge fields associated with the third component of the ``weak isospin" ($T_3$) and the hypercharge ($Y$) proceeds in a natural way from a global homomorphism of the $SU(2)\otimes U(1)$ gauge group in some locally isomorphic group (which proves to be $U(2)$), impose...
1994-10-18
2007-05-23
[ "hep-th" ]
V. Aldaya, M. Calixto and J. Guerrero
hep-th/9410120
Quantum Gravity via Random Triangulations of R^4 and Gravitons as Goldstone Bosons of SL(4)/O(4)
A model of random triangulations of a domain in $R^{(4)}$ is presented. The global symmetries of the model include SL(4) transformations and translations. If a stable microscopic scale exists for some range of parameters, the model should be in a translation invariant phase where SL(4) is spontaneously broken to O(4). ...
1994-10-18
2007-05-23
[ "hep-th", "gr-qc", "hep-lat" ]
Yigal Shamir
hep-th/9410125
On Renormalization Group Flows and Polymer Algebras
In this talk methods for a rigorous control of the renormalization group (RG) flow of field theories are discussed. The RG equations involve the flow of an infinite number of local partition functions. By the method of exact beta-function the RG equations are reduced to flow equations of a finite number of coupling con...
1994-10-18
2009-10-28
[ "hep-th", "hep-lat" ]
A. Pordt
hep-th/9410119
Comment on "Obstructions to the Existence of Static Cosmic Strings in an Abelian Higgs Model"
There has been considerable interest in the possible cosmic string configurations and Y. Yang has recently derived intriguing obstructions to the existence of cylindrically symmetric solutions in the Bogomol'nyi critical phase of the Einstein-Maxwell-Higgs system. In this comment, we would like to mention some earlier ...
1994-10-18
2007-05-23
[ "hep-th", "gr-qc" ]
Chanju Kim and Yoonbai Kim
hep-th/9410122
Successive Superalgebraic Truncations from the Four-Dimensional Maximal Supergravity
We study the four-dimensional {\it N}=8 maximal supergravity in the context of Lie superalgebra SU(8/1). All possible successive superalgebraic truncations from four-dimensional {\it N}=8 theory to {\it N}=7, 6, $\cdots$, 1 supergravity theories are systematically realized as sub-superalgebra chains of SU(8/1) by using...
1994-10-18
2014-11-18
[ "hep-th" ]
Chang-Ho Kim, Young-Jai Park, Kee Yong Kim, and Yongduk Kim
hep-th/9410130
Two-Loop Quark Self-Energy in a New Formalism: (I) Overlapping Divergences
A new integration technique for multi-loop Feynman integrals, called the matrix method, is developed and then applied to the divergent part of the overlapping two-loop quark self-energy function $\,i\Sigma\,$ in the light- cone gauge. It is shown that the coefficient of the double-pole term is strictly local, even off ...
1994-10-18
2009-10-28
[ "hep-th" ]
George Leibbrandt, Jimmy Williams
hep-th/9410126
Fermion Determinants in Static, Inhomogeneous Magnetic Fields
The renormalized fermionic determinant of QED in 3 + 1 dimensions, $\mbox{det}_{{ren}}$, in a static, unidirectional, inhomogeneous magnetic field with finite flux can be calculated from the massive Euclidean Schwinger model's determinant, $\mbox{det}_{{Sch}}$, in the same field by integrating $\mbox{det}_{{Sch}}$, ove...
1994-10-18
2009-10-28
[ "hep-th" ]
M. P. Fry
hep-th/9410112
The Large Distance Limit of the Gravitational Effective Action in Hyperbolic Backgrounds
The one-loop effective action for D-dimensional quantum gravity 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-kernel an...
1994-10-17
2010-04-06
[ "hep-th" ]
A.A. Btsenko, A.D. Odintsov and S. Zerbini
hep-th/9410114
Finite W Algebras and Intermediate Statistics
New realizations of finite W algebras are constructed by relaxing the usual constraint conditions. Then, finite W algebras are recognized in the Heisenberg quantization recently proposed by Leinaas and Myrheim, for a system of two identical particles in d dimensions. As the anyonic parameter is directly associated to t...
1994-10-17
2009-10-28
[ "hep-th" ]
F. Barbarin, E. Ragoucy and P. Sorba
hep-th/9410111
Derivative Expansion in Quantum Theory of Gravitation
The cosmological term prevents perturbation based on derivative expansion in Einstein gravity. We consider quantum theory of gravitation invariant under volume-preserving diffeomorphism and Weyl transformation, which is suitable for derivative expansion.
1994-10-17
2010-11-01
[ "hep-th" ]
K.-I. Izawa
hep-th/9410117
Correlation Functions Along a Massless Flow
A non-perturbative method based on the Form Factor bootstrap approach is proposed for the analysis of correlation functions of 2-D massless integrable theories and applied to the massless flow between the Tricritical and the Critical Ising Models.
1994-10-17
2009-12-30
[ "hep-th", "cond-mat" ]
G. Delfino, G. Mussardo and P. Simonetti
hep-th/9410116
Background gauge invariance in the antifield formalism for theories with open gauge algebras
We show that any BRST invariant quantum action with open or closed gauge algebra has a corresponding local background gauge invariance. If the BRST symmetry is anomalous, but the anomaly can be removed in the antifield formalism, then the effective action possesses a local background gauge invariance. The presence of a...
1994-10-17
2009-10-28
[ "hep-th" ]
Kostas Skenderis
hep-th/9410115
Scattering States of Plektons (PARTICLES with Braid Group Statistics) in 2+1 Dimensional Quantum Field Theory
A Haag-Ruelle scattering theory for particles with braid group statistics is developed, and the arising structure of the Hilbert space of multiparticle states is analyzed.
1994-10-17
2015-06-26
[ "hep-th" ]
K. Fredenhagen, M.R. Gaberdiel and S.M. Rueger
hep-th/9410113
Improved Effective Potential in Curved Spacetime and Quantum Matter - Higher Derivative Gravity Theory
\noindent{\large\bf Abstract.} We develop a general formalism to study the renormalization group (RG) improved effective potential for renormalizable gauge theories ---including matter-$R^2$-gravity--- in curved spacetime. The result is given up to quadratic terms in curvature, and one-loop effective potentials may be ...
1994-10-17
2009-09-25
[ "hep-th" ]
Emilio Elizalde, Sergei D. Odintsov and August Romeo
hep-th/9410118
Wilson loops, $q \bar{q}$ and $3 q$ potentials, Bethe--Salpeter equation
The derivation of the $ q \bar q $ and the $ 3q $ potential for two dynamical quarks in a Wilson--loop context is reviewed. Some improvements are introduced. Only the usual assumptions in the evaluation of the Wilson loop integrals and expansions in the quark velocities are required for the result. It is shown that und...
1994-10-17
2008-02-03
[ "hep-th", "hep-ph" ]
N. Brambilla and G.M. Prosperi
hep-th/9410107
True Functional Integrals in Algebraic Quantum Field Theory
The familiar generating functionals in QFT fail to be true measures since the Lebesgue measure in infinite-dimensional spaces is not defined in general. The problem lies in constructing representations of topological $^*$-algebras of quantum fields which are not normed. We restrict our consideration only to chronologic...
1994-10-16
2007-05-23
[ "hep-th" ]
G.Sardanashvily
hep-th/9410109
Inverting the Hamiltonian Reduction in String Theory
It is well known that many interesting realisations of string theories can be obtained via hamiltonian reduction from WZW models. I want to point out that string theories do in certain cases also provide the recipe to reconstruct the ambient space of the hamiltonian reduction, including Kac--Moody currents and the asso...
1994-10-16
2007-05-23
[ "hep-th" ]
A M Semikhatov
hep-th/9410110
Remarks on the entropy of 3-manifolds
We give a simple combinatoric proof of an exponential upper bound on the number of distinct 3-manifolds that can be constructed by successively identifying nearest neighbour pairs of triangles in the boundary of a simplicial 3-ball and show that all closed simplicial manifolds that can be constructed in this manner are...
1994-10-16
2009-10-28
[ "hep-th", "math.GT" ]
Bergfinnur Durhuus and Thordur Jonsson
hep-th/9410108
The Cohomology of Algebras over Moduli Spaces
The purpose of this paper is to introduce the cohomology of various algebras over an operad of moduli spaces including the cohomology of conformal field theories (CFT's) and vertex operator algebras (VOA's). This cohomology theory produces a number of invariants of CFT's and VOA's, one of which is the space of their in...
1994-10-15
2008-02-03
[ "hep-th", "math.QA" ]
Takashi Kimura (University of North Carolina) and Alexander A. Voronov (University of Pennsylvania)
hep-th/9410106
Multiparameter quantum function algebra at roots of 1
We study the theory of representations of a multiparameter deformation of the function algebra of a simple algebraic group (as defined by Reshetikhin) when the quantum parameter is a root of unity. We extend the technics of De Concini-Lyubashenko in the standard quantum case.
1994-10-15
2008-02-03
[ "hep-th", "math.QA" ]
M. Costantini and M. Varagnolo
hep-th/9410102
Quasiperiodic Solutions of the Fibre Optics Coupled Nonlinear Schr{\"o}dinger Equations
We consider travelling periodical and quasiperiodical waves in single mode fibres, with weak birefringence and under the action of cross-phase modulation. The problem is reduced to the ``1:2:1" integrable case of the two-particle quartic potential. A general approach for finding elliptic solutions is given. New solutio...
1994-10-14
2019-08-15
[ "hep-th" ]
P L Christiansen, J C Eilbeck, V Z Enolskii and N A Kostov
hep-th/9410104
Space Time Interpretation of S-Duality and Supersymmetry Violations of T-Duality
The S--duality transformations of the lowest order string effective theory admit a space time interpretation for 4-dim backgrounds with one Killing symmetry. Starting from pure gravity and performing a sequence of intertwined T-S-T duality transformations we obtain new solutions which are always pure gravitational. In ...
1994-10-14
2009-10-28
[ "hep-th" ]
Ioannis Bakas
hep-th/9410101
On the instability of the vacuum in multidimensional scalar theories
The 1-loop effective potential in a scalar theory with quartic interaction on the space $M^{4} \times T^{n}$ for $n=2$ is calculated and is shown to be unbounded from below. This is an indication of a possible instability of the vacuum of the $\lambda \phi^{4}$ theory on $M^{4}$, when it is regarded as a result of the ...
1994-10-14
2009-09-25
[ "hep-th" ]
E. Elizalde, K. Kirsten and Yu. Kubyshin
hep-th/9410103
Action and Entropy of Extreme and Non-Extreme Black Holes
The Hamiltonian actions for extreme and non-extreme black holes are compared and contrasted and a simple derivation of the lack of entropy of extreme black holes is given. In the non-extreme case the wave function of the black hole depends on horizon degrees of freedom which give rise to the entropy. Those additional d...
1994-10-14
2014-11-18
[ "hep-th", "gr-qc" ]
Claudio Teitelboim
hep-th/9410097
Centrally Extended W_{1+\infty} and the KP Hierarchy
It is well known that the centerless W_{1+\infty} algebra provides a hamiltonian structure for the KP hierarchy. In this letter we address the question whether the centerful version plays a similar r\^ole in any related integrable system. We find that, surprisingly enough, the centrally extended W_{1+\infty} algebra yi...
1994-10-13
2008-11-26
[ "hep-th" ]
Fernando Martinez-Moras and Javier Mas
hep-th/9410088
Towards a Strong Coupling Liouville Gravity
A possibility of strong coupling quantum Liouville gravity is investigated via infinite dimensional representations of $\qslc$ with $q$ at a root of unity. It is explicitly shown that vertex operator in this model can be written by a tensor product of a vertex operator of the classical Liouville theory and that of weak...
1994-10-13
2009-10-28
[ "hep-th" ]
Takashi Suzuki
hep-th/9410089
On the classification of fusion rings
The fusion rules and modular matrix of a rational conformal field theory obey a list of properties. We use these properties to classify rational conformal field theories with not more than six primary fields and small values of the fusion coefficients. We give a catalogue of fusion rings which can arise for these field...
1994-10-13
2009-10-28
[ "hep-th" ]
D. Gepner, A. Kapustin
hep-th/9410091
Knizhnik-Zamolodchikov-Bernard equations on Riemann surfaces
Knizhnik-Zamolodchikov-Bernard equations for twisted conformal blocks on compact Riemann surfaces with marked points are written explicitly in a general projective structure in terms of correlation functions in the theory of twisted b-c systems. It is checked that on the moduli space the equations provide a flat connec...
1994-10-13
2009-10-28
[ "hep-th", "math.QA" ]
D. Ivanov
hep-th/9410095
Curvature Corrections to Dynamics of Domain Walls
The most usual procedure for deriving curvature corrections to effective actions for topological defects is subjected to a critical reappraisal. A logically unjustified step (leading to overdetermination) is identified and rectified, taking the standard domain wall case as an illustrative example. Using the appropriate...
1994-10-13
2010-11-01
[ "hep-th", "astro-ph", "hep-ph" ]
Brandon Carter and Ruth Gregory
hep-th/9410094
Statistical Properties of Strings
We investigate numerically the configurational statistics of strings. The algorithm models an ensemble of global $U(1)$ cosmic strings, or equivalently vortices in superfluid $^4$He. We use a new method which avoids the specification of boundary conditions on the lattice. We therefore do not have the artificial distinc...
1994-10-13
2009-10-28
[ "hep-th", "astro-ph", "cond-mat", "hep-lat", "hep-ph" ]
M. Hindmarsh and K. Strobl
hep-th/9410098
The Partition Function for an Anyon-Like Oscillator
We compute the partition function of an anyon-like harmonic oscillator. The well known results for both the bosonic and fermionic oscillators are then reobtained as particular cases as ours. The technique we employ is a non-relativistic version of the Green function method used in the computation of one-loop effective ...
1994-10-13
2009-10-28
[ "hep-th" ]
H. Boschi-Filho, C. Farina and A. de Souza Dutra
hep-th/9410100
Multiloop Calculations in the String-Inspired Formalism: The Single Spinor-Loop in QED
We use the worldline path-integral approach to the Bern-Kosower formalism for developing a new algorithm for calculation of the sum of all diagrams with one spinor loop and fixed numbers of external and internal photons. The method is based on worldline supersymmetry, and on the construction of generalized worldline Gr...
1994-10-13
2009-10-28
[ "hep-th", "hep-ph" ]
Michael G. Schmidt and Christian Schubert
hep-th/9410090
Quantum Diffusion Process with a Complex Weight on Three Dimensional Lattice
A rigorous definition of a path integral for a spinning particle in three dimensions is given on a regular cubic lattice. The critical diffusion constant and the associated critical exponents in each spin are calculated. Continuum field theories such as Klein-Gordon, Dirac and massive Chern-Simons theories are construc...
1994-10-13
2007-05-23
[ "hep-th", "cond-mat", "hep-lat" ]
Masako Asano, Chigak Itoi and Shin-Ichi Kojima
hep-th/9410092
On Bogoliubov Transformation of Scalar Wave Functions in De Sitter Space
We discuss the Bogoliubov transformation of the scalar wave functions caused by the change of coordinates in 4 dimensional de Sitter space. It is shown that the exact Bogoliubov coefficients can be obtained from the global coordinates to the static coordinates where there exist manifest horizon. We consider two type of...
1994-10-13
2015-06-26
[ "hep-th" ]
Haru-Tada Sato and Hisao Suzuki
hep-th/9410093
Conserved Currents, Consistency Relations and Operator Product Expansions in the Conformally Invariant O(N) Vector Model
We discuss conserved currents and operator product expansions (OPE's) in the context of a $O(N)$ invariant conformal field theory. Using OPE's we find explicit expressions for the first few terms in suitable short-distance limits for various four-point functions involving the fundamental $N$-component scalar field $\ph...
1994-10-13
2014-11-18
[ "hep-th", "cond-mat" ]
Anastasios Petkou
hep-th/9410096
The Canonical Partition Function for Quons
We calculate the canonical partition function $Z_N$ for a system of $N$ free particles obeying so-called `quon' statistics where $q$ is real and satisfies $|q|<1$ by using simple counting arguments. We observe that this system is afflicted by the Gibbs paradox and that $Z_N$ is independent of $q$. We demonstrate that s...
1994-10-13
2009-10-28
[ "hep-th" ]
J.W.Goodison and D.J.Toms
hep-th/9410099
Half-Differentials and Fermion Propagators
From a geometric point of view, massless spinors in $3+1$ dimensions are composed of primary fields of weights $(\frac{1}{2},0)$ and $(0,\frac{1}{2})$, where the weights are defined with respect to diffeomorphisms of a sphere in momentum space. The Weyl equation thus appears as a consequence of the transformation behav...
1994-10-13
2015-06-26
[ "hep-th" ]
Rainer Dick
hep-th/9410085
Reminiscences about Many Pitfalls and Some Successes of QFT Within the Last Three Decades
Laymen and sometimes even physicists think of natural sciences, in particular of theoretical and mathematical physics often as subjects, which unfold according to an intrinsic logical pattern, with the limitations being set only by the conceptual and (in case of mathematical physics) mathematical developments of the ti...
1994-10-12
2009-10-28
[ "hep-th", "cond-mat" ]
B. Schroer
hep-th/9410087
Large $N$ Phase Transition In The Heat Kernel On The $U(N)$ Group
The large N phase transition point is investigated in the heat kernel on the $U(N)$ group with respect to arbitrary boundary conditions. A simple functional relation is found relating the density of eigenvalues of the boundary field to the saddle point shape of the typical Young tableaux in the large $N$ limit of the c...
1994-10-12
2009-10-28
[ "hep-th" ]
Vladimir A. Kazakov and Thomas Wynter
hep-th/9410084
On gravitational dressing of renormalization group beta-functions beyond lowest order of perturbation theory
Based on considerations in conformal gauge I derive up to nextleading order a relation between the coefficients of beta-functions in 2D renormalizable field theories before and after coupling to gravity. The result implies a coupling constant dependence of the ratio of both beta-functions beyond leading order.
1994-10-12
2009-10-28
[ "hep-th" ]
H. Dorn
hep-th/9410083
Spectral stochastic processes arising in quantum mechanical models with a non-L2 ground state
A functional integral representation is given for a large class of quantum mechanical models with a non--L2 ground state. As a prototype the particle in a periodic potential is discussed: a unique ground state is shown to exist as a state on the Weyl algebra, and a functional measure (spectral stochastic process) is co...
1994-10-12
2009-10-28
[ "hep-th", "funct-an", "math.FA" ]
J.Loffelholz, G.Morchio, F.Strocchi
hep-th/9410086
Vacuum correlations at geodesic distance in quantum gravity
The vacuum correlations of the gravitational field are highly non-trivial to be defined and computed, as soon as their arguments and indices do not belong to a background but become dynamical quantities. Their knowledge is essential however in order to understand some physical properties of quantum gravity, like virtua...
1994-10-12
2015-06-26
[ "hep-th" ]
G. Modanese (INFN, Trento, and Max-Planck-Institut, Muenchen)
hep-th/9410082
Lectures on Inflationary Cosmology
A general overview of the history and present status of inflationary cosmology is given. Recent developments discussed in this paper include the hybrid inflation scenario, the theory of reheating, and the theory of inflating tolopogical defects. We also discuss the theory of a stationary self-reproducing inflationary u...
1994-10-12
2007-05-23
[ "hep-th", "astro-ph", "gr-qc", "hep-ph" ]
Andrei Linde
hep-th/9410079
Quantization of the tachyonic field
A consistent quantization scheme for imaginary-mass field is proposed. It is related to an appriopriate choice of the synchronization procedure (definition of time), which guarantee an absolute causality. In that formulation a possible existence of field exctitations (tachyons) distinguish an inertial frame (tachyon pr...
1994-10-11
2016-09-06
[ "hep-th", "astro-ph", "gr-qc" ]
J. Rembielinski
hep-th/9410075
Time Evolution of Pure Quantum State and Emergence of A Nearly Thermal State
Dynamical evolution of the quantum ground state (vacuum) is analyzed for time variant harmonic oscillators characterized by asymptotically constant frequency. The oscillatory density matrix in the asymptotic future is uniquely determined by a constant number of produced particles, independent of other details of transi...
1994-10-11
2007-05-23
[ "hep-th", "gr-qc" ]
M.Yoshimura
hep-th/9410077
Conformal Characters and Theta Series
We describe the construction of vector valued modular forms transforming under a given congruence representation of the modular group SL(2,Z) in terms of theta series. We apply this general setup to obtain closed and easily computable formulas for conformal characters of rational models of W-algebras.
1994-10-11
2015-06-26
[ "hep-th" ]
Wolfgang Eholzer and Nils-Peter Skoruppa
hep-th/9410074
Black Holes, Interactions, and Strings
We give some examples in which neglecting the interactions between particles or truncating the description of a black hole to the spherically symmetric mode leads to unphysical results. The restoration of the interactions and higher angular momentum modes resolves these problems. It is argued that mathematical consiste...
1994-10-11
2009-09-25
[ "hep-th", "gr-qc" ]
L. Susskind and J. Uglum
hep-th/9410080
Causality in Local Quantum Field Theory
The problem of causality is analyzed in the context of Local Quantum Field Theory. Contrary to recent claims, it is shown that apparent noncausal behaviour is due to a lack of the notion of sharp localizability for a relativistic quantum system. (Replaced corrupted file)
1994-10-11
2009-10-28
[ "hep-th", "hep-ph" ]
L.Maiani and M.Testa
hep-th/9410076
Bubble with Global Monopole
The first-order phase transition of $O(3)$ symmetric model is considered in the limit of high temperature. It is shown that this model supports a new bubble solution where the global monopole is formed at the center of the buble in addition to the ordinary $O(3)$ bubble. Though the free energy of it is larger than that...
1994-10-11
2016-09-06
[ "hep-th" ]
Yoonbai Kim
hep-th/9410078
A Model of Two-Dimensional Quantum Gravity in the Strong Coupling Regime
A model of two-dimensional quantum gravity that is the analog of the tensionless string is proposed. The gravitational constant ($k$) is the analog of the Regge slope ($\alpha^{'}$) and it shows that when $k \rightarrow \infty$, $2D$ quantum gravity can be understood as a tensionless string theory embeded in a two-dime...
1994-10-11
2011-07-19
[ "hep-th", "gr-qc" ]
J. Gamboa
hep-th/9410081
The heavy quark decomposition of the S-matrix and its relation to the pinch technique
We propose a decomposition of the S-matrix into individually gauge invariant sub-amplitudes, which are kinematically akin to propagators, vertices, boxes, etc. This decompsition is obtained by considering limits of the S-matrix when some or all of the external particles have masses larger than any other physical scale....
1994-10-11
2009-10-28
[ "hep-th" ]
Joannis Papavassiliou, Kostas Philippides and Martin Schaden
hep-th/9410105
Leading Large N Modification of QCD_2 on a Cylinder by Dynamical Fermions
We consider 2-dimensional QCD on a cylinder, where space is a circle. We find the ground state of the system in case of massless quarks in a $1/N$ expansion. We find that coupling to fermions nontrivially modifies the large $N$ saddle point of the gauge theory due to the phenomenon of `decompactification' of eigenvalue...
1994-10-10
2016-09-06
[ "hep-th" ]
Avinash Dhar, Gautam Mandal and Spenta R. Wadia
hep-th/9410059
p-Adic desription of Higgs mechanism II: General Theory
This paper belongs to the series devoted to the calculation of particle masses in p-adic conformal field theory limit of TGD. The concept of topological condensate generalizes the concept of 3-space. Various hierarchically ordered levels of the condensate obey effective p-adic topology and fractal considerations motiva...
1994-10-10
2008-02-03
[ "hep-th" ]
M.Pitk\"anen
hep-th/9410073
Higher-dimensional resolution of dilatonic black hole singularities
We show that the four-dimensional extreme dilaton black hole with dilaton coupling constant $a= \sqrt{p/(p+2)}$ can be interpreted as a {\it completely non-singular}, non-dilatonic, black $p$-brane in $(4+p)$ dimensions provided that $p$ is {\it odd}. Similar results are obtained for multi-black holes and dilatonic ext...
1994-10-10
2010-04-06
[ "hep-th", "gr-qc" ]
G. W. Gibbons, Gary T. Horowitz and P. K. Townsend
hep-th/9410058
p-Adic description of Higgs mechanism I: p-Adic square root and p-adic light cone
This paper is the first one in the series devoted to the calculation of particle mass spectrum in Topological GeometroDynamics. TGD Universe is critical at quantum level and an attractive idea to realize criticality is via conformal invariance. Ordinary real numbers do not allow this but if one assumes that in long len...
1994-10-10
2008-02-03
[ "hep-th" ]
M.Pitk\"anen
hep-th/9410065
Self-Dual Chern-Simons Theories
In these lectures I review classical aspects of the self-dual Chern-Simons systems which describe charged scalar fields in $2+1$ dimensions coupled to a gauge field whose dynamics is provided by a pure Chern-Simons Lagrangian. These self-dual models have one realization with nonrelativistic dynamics for the scalar fiel...
1994-10-10
2015-06-26
[ "hep-th" ]
Gerald Dunne
hep-th/9410066
Hidden Symmetries in the 6-Vertex Model of Statistical Physics
The transfer matrix of the 6-vertex model of two-dimensional statistical physics commutes with many (more complicated) transfer matrices, but these latter, generally, do not commute between each other. The studying of their action in the eigenspaces of the 6-vertex model transfer matrix becomes possible due to a ``mult...
1994-10-10
2025-06-24
[ "hep-th" ]
Igor G. Korepanov
hep-th/9410067
Compact QED$_3$ - a simple example of a variational calculation in a gauge theory
We apply a simple mean field like variational calculation to compact QED in 2+1 dimensions. Our variational ansatz explicitly preserves compact gauge invariance of the theory. We reproduce in this framework all the known results, including dynamical mass generation, Polyakov scaling and the nonzero string tension. It i...
1994-10-10
2009-10-28
[ "hep-th", "hep-ph" ]
Ian I. Kogan and Alex Kovner
hep-th/9410064
QED$_{2+1}$ with Nonzero Fermion Density and Quantum Hall Effect
A general expression for the conductivity in the QED$_{2+1}$ with nonzero fermion density in the uniform magnetic field is derived. It is shown that the conductivity is entirely determined by the Chern-Simons coefficient: $\sigma_{ij}=\varepsilon_{ij}~{\cal C}$ and is a step-function of the chemical potential and the m...
1994-10-10
2009-10-28
[ "hep-th", "cond-mat" ]
Vadim Zeitlin
hep-th/9410042
Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices
The procedure for obtaining integrable vertex models via reflection matrices on the square lattice with open boundaries is reviewed and explicitly carried out for a number of two- and three-state vertex models. These models include the six-vertex model, the 15-vertex $A_2^{(1)}$ model and the 19-vertex models of Izergi...
1994-10-10
2010-04-08
[ "hep-th" ]
C. M. Yung and M. T. Batchelor
hep-th/9410069
Duality Versus Supersymmetry
We study the effect of S-duality and target-space duality tranformations of $N=4,d=4$ and $N=1,d=10$ supersymmetric configurations on their Killing spinors. We find that, under reasonable assumptions, the dual configurations are also supersymmetric and that the Killing spinors transform in a simple way.
1994-10-10
2016-08-14
[ "hep-th" ]
Tom\'as Ort\'in
hep-th/9410056
Moduli Dependent Non-Holomorphic Contributions of Massive States to Gravitational Couplings and $C^2$-Terms in $Z_N$-Orbifold Compactifications
It is pointed out that massive states in D=4, N=1 supergravity-matter theories can, in general, at the 1-loop level contribute non-holomorphic terms to quadratic gravitational couplings. It is then shown in the context of $(2,2)$-symmetric $Z_N$-orbifold theories that, for constant moduli backgrounds, the inclusion of ...
1994-10-10
2016-08-14
[ "hep-th" ]
Gabriel Lopes Cardoso, Dieter L\"ust and Burt A. Ovrut
hep-th/9410060
p-Adic description of Higgs mechanism III: calculation of elementary particle masses
This paper belongs to the series devoted to the calculation of particle masses in the framework of p-adic conformal field theory limit of Topological GeometroDynamics. In paper II the general formulation of p-adic Higgs mechanism was given. In this paper the calculation of the fermionic and bosonic masses is carried ou...
1994-10-10
2008-02-03
[ "hep-th" ]
M.Pitk\"anen
hep-th/9410070
Exact solution of the simplest super-orthosymplectic invariant magnet
We present the exact solution of the $Osp(1|2)$ invariant magnet by the Bethe ansatz approach. The associated Bethe ansatz equation exhibit a new feature by presenting an explicit and distinct phase behaviour in even and odd sectors of the theory. The ground state, the low-lying excitations and the critical properties ...
1994-10-10
2009-10-28
[ "hep-th" ]
M.J. Martins
hep-th/9410061
p-Adic description of Higgs mechanism IV: elementary particle and hadron masses
This paper belongs to a series devoted to the calculation of particle masses in p-adic conformal field theory limit of TGD. In paper III elementary particle masses were calculated. In this paper the results are analyzed. One can reproduce lepton and gauge boson masses exactly by taking into account Coulomb self energy ...
1994-10-10
2008-02-03
[ "hep-th" ]
M.Pitk\"anen
hep-th/9410072
The Affine symmetry of self-dual gravity
Self-dual gravity may be reformulated as the two dimensional principal chiral model with the group of area preserving diffeomorphisms as its gauge group. Using this formulation, it is shown that self-dual gravity contains an infinite dimensional hidden symmetry whose generators form the Affine (Kac-Moody) algebra assoc...
1994-10-10
2009-10-28
[ "hep-th", "gr-qc" ]
Viqar Husain
hep-th/9410062
p-Adic description of Higgs mechanism V: New Physics
TGD suggests the existence of two new branches of physics, namely M_{89} hadron physics and M_{127} leptohadron physics. Leptons and U type quarks are predicted to have light colored excitations. The anomalous production of e^+e^- pairs in heavy ion collisions sup- ports the existence of light leptomeson but there are ...
1994-10-10
2008-02-03
[ "hep-th" ]
M.Pitk\"anen
hep-th/9410068
Thermodynamics of Two Dimensional Black Holes
Thermodynamic relations for a class of 2D black holes are obtained corresponding to observations made from finite spatial distances. We also study the thermodynamics of the charged version of the Jackiw-Teitelboim black holes found recently by Lowe and Strominger. Our results corroborate, in appropriate limits, to thos...
1994-10-10
2009-10-28
[ "hep-th", "gr-qc" ]
Alok Kumar and Koushik Ray
hep-th/9410071
A note on graded Yang-Baxter solutions as braid-monoid invariants
We construct two $Osp(n|2m)$ solutions of the graded Yang-Baxter equation by using the algebraic braid-monoid approach. The factorizable S-matrix interpretation of these solutions is also discussed.
1994-10-10
2014-11-18
[ "hep-th" ]
M.J. Martins and P.B. Ramos
hep-th/9410063
On dispersionless Hirota type equations
Dispersionless Hirota type equations are extracted from the dispersionless limit of the Fay differential identity due to Takasaki- Takebe. A few other results are sketched between inverse scattering, dKdV, and gravity.
1994-10-10
2007-05-23
[ "hep-th" ]
Robert Carroll (Mathematics Dept., University of Illinois, Urbana, IL)
hep-th/9410057
Bogomol'nyi equations for solitons in Maxwell-Chern-Simons gauge theories with the magnetic moment interaction term
Without assuming rotational invariance, we derive Bogomol'nyi equations for the solitons in the abelian Chern-Simons gauge theories with the anomalous magnetic moment interaction. We also evaluate the number of zero modes around a static soliton configuration.
1994-10-10
2009-10-28
[ "hep-th" ]
Taejin Lee and Hyunsoo Min
hep-th/9410054
Some Properties of Large $N$ Two Dimensional Yang--Mills Theory
Large $N$ two-dimensional QCD on a cylinder and on a vertex manifold (a sphere with three holes) is investigated. The relation between the saddle-point description and the collective field theory of QCD$_2$ is established. Using this relation, it is shown that the Douglas--Kazakov phase transition on a cylinder is asso...
1994-10-09
2009-10-28
[ "hep-th" ]
David J. Gross and Andrei Matytsin
hep-th/9410055
Resolution of Diagonals and Moduli Spaces
In this paper differential operators on various moduli spaces (e.g. of holomorphic vector bundles) are described in a canonical way in terms of the geometry of a certain distinguished completion of an appropriate configuration space.
1994-10-09
2008-02-03
[ "hep-th", "math.AG", "math.DG" ]
Victor Ginzburg
hep-th/9410045
Weyl Pair, Current Algebra and Shift Operator
The Abelian current algebra on the lattice is given from a series of the independent Weyl pairs and the shift operator is constructed by this algebra. So the realization of the operators of the braid group is obtained. For $|q|\neq 1$ the shift operator is the product of the theta functions of the generators $w_n$ of t...
1994-10-08
2009-10-28
[ "hep-th" ]
Zhan-Ning Hu
hep-th/9410046
Kaluza-Klein Theory in Perspective
The Kaluza-Klein idea of extra spacetime dimensions continues to pervade current attempts to unify the fundamental forces, but in ways somewhat different from that originally envisaged. We present a modern perspective on the role of internal dimensions in physics, focussing in particular on superstring theory. A novel ...
1994-10-07
2007-05-23
[ "hep-th", "gr-qc" ]
M. J. Duff
hep-th/9410047
The symmetry structure of the anti-self-dual Einstein hierarchy
An important example of a multi-dimensional integrable system is the anti-self-dual Einstein equations. By studying the symmetries of these equations, a recursion operator is found and the associated hierarchy constructed. Owing to the properties of the recursion operator one may construct a hierarchy of symmetries and...
1994-10-07
2009-10-28
[ "hep-th" ]
I.A.B.Strachan
hep-th/9410052
Sigma Models And The ADHM Construction Of Instantons
This paper is devoted to the construction of a family of linear sigma models with $(0,4)$ supersymmetry which should flow in the infrared to the stringy version of Yang-Mills instantons on ${\bf R}^4$. The family depends on the full set of expected parameters and is obtained by using the data that appear in the ADHM co...
1994-10-07
2010-04-07
[ "hep-th" ]
Edward Witten
hep-th/9410050
Evidence for the Stability of Extremal Black p-Branes
We investigate the stability of the extremal black p-brane which contains a n-form and a dilaton. We show that the instability due to the s-mode, which was present in the uncharged and non-extremal p-brane, disappears in the extreme case. This is shown to be consistent with an entropy argument which shows that the zero...
1994-10-07
2009-12-30
[ "hep-th", "gr-qc" ]
Ruth Gregory and Raymond Laflamme
hep-th/9410048
The Moyal bracket and the dispersionless limit of the KP hierarchy
A new Lax equation is introduced for the KP hierarchy which avoids the use of pseudo-differential operators, as used in the Sato approach. This Lax equation is closer to that used in the study of the dispersionless KP hierarchy, and is obtained by replacing the Poisson bracket with the Moyal bracket. The dispersionless...
1994-10-07
2009-10-28
[ "hep-th" ]
I.A.B. Strachan
hep-th/9410049
New solution of vertex type tetrahedron equations
In this paper we formulate a new N-state spin integrable model on a three-dimensional lattice with spins interacting round each elementary cube of the lattice. This model can be also reformulated as a vertex type model. Weight functions of the model satisfy tetrahedron equations.
1994-10-07
2019-08-17
[ "hep-th" ]
V.V.Mangazeev, S.M.Sergeev, Yu.G.Stroganov
hep-th/9410053
Poisson Algebra of Wilson Loops in Four-Dimensional Yang-Mills Theory
We formulate the canonical structure of Yang--Mills theory in terms of Poisson brackets of gauge invariant observables analogous to Wilson loops. This algebra is non--trivial and tractable in a light--cone formulation. For U(N) gauge theories the result is a Lie algebra while for SU(N) gauge theories it is a quadratic ...
1994-10-07
2015-06-26
[ "hep-th" ]
S.G. Rajeev and O.T. Turgut
hep-th/9410043
The Mandelstam--Leibbrandt Prescription and the Discretized Light Front Quantization
It is shown that the quantization of the unphysical degrees of freedom, which leads to the Mandelstam--Leibbrandt prescription for the infrared spurious singularities in the continuum light cone gauge, does indeed suggest some quite natural recipe to treat the zero modes in the Discretized Light Front Quantization of g...
1994-10-07
2007-05-23
[ "hep-th" ]
Roberto Soldati
hep-th/9410040
Classical Non-Abelian Solitons
In two space-time dimensions a class of classical multicomponent scalar field theories with discrete, in general non-Abelian global symmetry is considered. The corresponding soliton solutions are given for the cases of 2, 3, and 4 components.
1994-10-07
2007-05-23
[ "hep-th" ]
V.F M\"uller
hep-th/9410051
Search for Duality Symmetries in p-Brane Theories
The requirement of an $SL(2)$ duality symmetry, mixing the worldvolume field equations with Bianchi identities, leads to a highly nonlinear equation involving the transformation parameters and certain worldvolume currents. In general, this equation seems to admit a solution only for a two parameter subgroup of the seek...
1994-10-07
2015-06-26
[ "hep-th" ]
E. Sezgin
hep-th/9410044
Free Fields for Any Spin in Relativistic Quantum Mechanics
A general discussion of the construction of free fields based on Weinberg anszatz is provided and various applications appearing in the litterature are considered.
1994-10-07
2007-05-23
[ "hep-th" ]
D. R. Grigore
hep-th/9410041
Non-singular four-dimensional black holes and the Jackiw-Teitelboim theory
A four-dimensional dilaton-gravity action whose spherical reduction to two dimensions leads to the Jackiw-Teitelboim theory is presented. A nonsingular black hole solution of the theory is obtained and its physical interpretation is discussed. The classical and semiclassical properties of the solution and of its 2d cou...
1994-10-07
2010-11-01
[ "hep-th", "gr-qc" ]
M. Cadoni and S. Mignemi
hep-th/9410035
Non-abelian bosonization from factored coset models in path integrals
We present a derivation of abelian and non-abelian bosonization in a path integral setting by expressing the generating functional for current-current correlation functions as a product of a $G/G$-coset model, which is dynamically trivial, and a bosonic part which contains the dynamics. A BRST symmetry can be identifie...
1994-10-06
2009-10-28
[ "hep-th" ]
A.N.Theron, F.A.Schaposnik, F.G.Scholtz and H.B.Geyer
hep-th/9410034
Topological 2D String Theory: Higher-genus Amplitudes and W-infinity Identities
We investigate Landau-Ginzburg string theory with the singular superpotential X^{-1} on arbitrary Riemann surfaces. This theory, which is a topological version of the c=1 string at the self-dual radius, is solved using results from intersection theory and from the analysis of matter Landau-Ginzburg systems, and consist...
1994-10-06
2009-10-28
[ "hep-th" ]
Debashis Ghoshal (Mehta Research Inst), Camillo Imbimbo (CERN), Sunil Mukhi (Tata Inst)
hep-th/9410038
Gauge theory and renormalization (Erice, August 1994)
Early developments leading to renormalizable non-Abelian gauge theories for the weak, electromagnetic and strong interactions, are discussed from a personal viewpoint. They drastically improved our view of the role of field theory, symmetry and topology, as well as other branches of mathematics, in the world of element...
1994-10-06
2008-02-03
[ "hep-th" ]
G. 't Hooft
hep-th/9410039
Projective quantum spaces
Associated to the standard $SU_{q}(n)$ R-matrices, we introduce quantum spheres $S_{q}^{2n-1}$, projective quantum spaces $CP_{q}^{n-1}$, and quantum Grassmann manifolds $G_{k}(C_{q}^{n})$. These algebras are shown to be homogeneous quantum spaces of standard quantum groups and are also quantum principle bundles in the...
1994-10-06
2009-10-28
[ "hep-th", "math.QA" ]
Ulrich Meyer
hep-th/9410036
Minimal Affinizations of Representations of Quantum Groups: the simply--laced case
We continue our study of minimal affinizations for algebras of type D, E.
1994-10-06
2009-10-28
[ "hep-th", "math.QA" ]
V. Chari and A. N. Pressley
hep-th/9410037
Quantum Solitons in Non-Linear Optics: Resonant Dielectric Media
It is known that classical electromagnetic radiation at a frequency in resonance with energy splittings of atoms in a dielectric medium can be described using the classical sine-Gordon equation. In this paper we quantize the electromagnetic field and compute quantum corrections to the classical results by using known r...
1994-10-06
2007-05-23
[ "hep-th" ]
Andre LeClair