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hep-th/9401153
Nonperturbative Light-Front QCD
In this work the determination of low-energy bound states in Quantum Chromodynamics is recast so that it is linked to a weak-coupling problem. This allows one to approach the solution with the same techniques which solve Quantum Electrodynamics: namely, a combination of weak-coupling diagrams and many-body quantum mech...
1994-01-28
2009-10-28
[ "hep-th", "hep-ph", "nucl-th" ]
K. G. Wilson, T. Walhout, A. Harindranath, W. M. Zhang, R. J. Perry and S. Glazek
hep-th/9401144
An Effective Rigid String at $\theta=\pi$ for the 3D Gauge Theories/Ising Model
An effective sigma model describing behavior of the 3d rigid string with a $\theta$-term at $\theta=\pi$ is proposed. It contains non-perturbative corrections resulting from summation over different genera of the 2d surfaces. The effective theory is the SU(2) WZW model coupled to the Nambu-Goto action. RG analysis show...
1994-01-28
2009-10-28
[ "hep-th" ]
Jacek Pawe{\l}czyk
hep-th/9401148
BV and BFV Formulation of a Gauge Theory of Quadratic Lie Algebras in 2-d and a Construction of W3 Topological Gravity
The recently proposed generalized field method for solving the master equation of Batalin and Vilkovisky is applied to a gauge theory of quadratic Lie algebras in 2-dimensions. The charge corresponding to BRST symmetry derived from this solution in terms of the phase space variables by using the Noether procedure, and ...
1994-01-28
2015-06-26
[ "hep-th" ]
O.F. Dayi
hep-th/9401139
Target Space Duality in String Theory
A review article submitted to Physics Report: Target space duality and discrete symmetries in string theory are reviewed in different settings.
1994-01-27
2010-11-01
[ "hep-th" ]
A. Giveon, M. Porrati and E. Rabinovici
hep-th/9401140
Symmetries of the Chern-Simons Theory in the Axial Gauge, Manifold with Boundary
The field equations of the Chern-Simons theory quantized in the axial gauge are shown to be completely determined by supersymmetry Ward identities which express the invariance of the theory under the topological supersymmetry of Delduc, Gieres and Sorella together with the usual Slavnov identity without requiring any a...
1994-01-27
2007-05-23
[ "hep-th" ]
S. Emery and O. Piguet
hep-th/9401138
A New Class of Supersymmetric Theories
We construct a class of quantum mechanical theories which are invariant under fermionic transformations similar to supersymmetry transformations. The generators of the transformations in this case, however, satisfy a BRST-like algebra.
1994-01-27
2016-11-03
[ "hep-th", "hep-ph" ]
Ashok Das
hep-th/9401136
Models of Electroweak Interactions in Non-Commutative Geometry: A Comparison
Alain Connes' construction of the standard model is based on a generalized Dirac-Yukawa operator and the K-cycle $(\HD ,D)$, with $\HD$ a fermionic Hilbert space. If this construction is reformulated at the level of the differential algebra then a direct comparison with the alternative approach by the Marseille-Mainz g...
1994-01-27
2009-10-28
[ "hep-th" ]
N.A.Papadopoulos, J.Plass, F.Scheck
hep-th/9401137
A Solvable 2D Quantum Gravity Model with $\GAMMA >0$
We consider a model of discretized 2d gravity interacting with Ising spins where phase boundaries are restricted to have minimal length and show analytically that the critical exponent $\gamma= 1/3$ at the spin transition point. The model captures the numerically observed behavior of standard multiple Ising spins coupl...
1994-01-27
2015-06-26
[ "hep-th" ]
J. Ambjorn, B. Durhuus and T. Jonsson
hep-th/9401135
Two-Dimensional String Theory, Topological Field Theories and the Deformed Matrix Model
In this paper the $c=1$ string theory is studied from the point of view of topological field theories. Calculations are done for arbitrary genus. A change in the prescription is proposed, which reproduces the results of the $1/x^2$ deformed matrix model. It is proposed that the deformed matrix model is related to a D-s...
1994-01-27
2009-10-28
[ "hep-th" ]
Ulf H. Danielsson
hep-th/9401122
Abelian Chern-Simons field theory and anyon equation on a cylinder
We present the anyon equation on a cylinder and in an infinite potential wall from the abelian Chern-Simons theory coupled to non-relativistic matter field by obtaining the effective hamiltonian through the canonical transformation method used for the theory on a plane and on a torus. We also give the periodic property...
1994-01-26
2007-05-23
[ "hep-th" ]
Kyung-Hyun Cho and Chaiho Rim
hep-th/9401127
Poisson-Lie structures on the external algebra of $SL(2)$ and their quantization
All possible graded Poisson-Lie structures on the external algebra of $SL(2)$ are described. We prove that differential Poisson-Lie structures prolonging the Sklyanin brackets do not exist on $SL(2)$. There are two and only two graded Poisson-Lie structures on $SL (2)$ and neither of them can be obtained by a reduction...
1994-01-26
2008-02-03
[ "hep-th", "math.QA" ]
I. Ya. Aref'eva, G. E. Arutyunov and P. B. Medvedev
hep-th/9401131
Pair production of black holes in a $U(1) \otimes U(1)$ theory
Charged dilaton black hole solutions have recently been found for an action with two $U(1)$ gauge fields and a dilaton field. I investigate new exact solutions of this theory analogous to the C-metric and Ernst solutions of classical general relativity. The parameters in the latter solution may be restricted so that it...
1994-01-26
2014-11-18
[ "hep-th", "gr-qc" ]
S.F. Ross
hep-th/9401134
High energy scattering in 2+1 QCD
High energy scattering in 2+1 QCD is studied using the recent approach of Verlinde and Verlinde. We calculate the color singlet part of the quark-quark scattering exactly within this approach, and discuss some physical implication of this result. We also demonstrate, by two independent methods, that reggeization fails ...
1994-01-26
2013-11-13
[ "hep-th", "hep-ph" ]
Miao Li and Chung-I Tan
hep-th/9401126
High Energy String Collisions in a Compact Space
When high energy strings scatter at fixed angle, their amplitudes characteristically fall off exponentially with energy, ${\cal A} \sim \exp(-s \times const.)$. We show that in a compact space this suppression disappears for certain kinematic configurations. Amplitudes are power-law behaved and therefore greatly enhanc...
1994-01-26
2009-10-28
[ "hep-th" ]
Paul F. Mende
hep-th/9401133
Supersymmetric Quantum Mechanics of Monopoles in N=4 Yang-Mills Theory
A supersymmetric collective coordinate expansion of the monopole solution of $N=4$ Yang-Mills theory is performed resulting in an $N=4$ supersymmetric quantum mechanics on the moduli space of monopole solutions.
1994-01-26
2009-08-18
[ "hep-th" ]
Julie D. Blum
hep-th/9401132
Quantization of pseudoclassical model of spin one relativistic particle
A consistent procedure of canonical quantization of pseudoclassical model for spin one relativistic particle is considered. Two approaches to treat the quantization for the massless case are discussed, the limit of the massive case and independent quantization of a modified action. Quantum mechanics constructed for the...
1994-01-26
2015-06-26
[ "hep-th" ]
D.M. Gitman, A.E. Gon\c{c}alves and I.V. Tyutin
hep-th/9401128
Generalized Statistics and Dynamics in Curved Spacetime
We consider the generalized momentum-depending quon algebra in a dynamically evolving curved spacetime and perform a type of analysis similar to that of J.W.Goodison and D.J.Toms. We find that, at least in principle, all kinds of statistics may occur in some regions, i.e. phases in momentum space, depending on Bogoliub...
1994-01-26
2009-10-28
[ "hep-th" ]
V. Bardek, S. Meljanac and A. Perica (Rudjer Boskovic Institute, Zagreb, Croatia)
hep-th/9401125
A Comment on Entropy and Area
For an arbitrary quantum field in flat space with a planar boundary, an entropy of entanglement, associated with correlations across the boundary, is present when the field is in its vacuum state. The vacuum state of the same quantum field appears thermal in Rindler space, with an associated thermal entropy. We show th...
1994-01-26
2008-11-26
[ "hep-th", "gr-qc" ]
D. Kabat and M. J. Strassler
hep-th/9401130
Quantum and Floer cohomology have the same ring structure
The action of the total cohomology $H^*(M)$ of the almost Kahler manifold $M$ on its Floer cohomology, int roduced originally by Floer, gives a new ring structure on $H^*(M)$. We prove that the total cohomology space $H^* (M)$, provided with this new ring structure, is isomorphic to the quantum cohomology ring. As a sp...
1994-01-26
2008-02-03
[ "hep-th", "math.AG" ]
Sergey Piunikhin
hep-th/9401129
The Phenomenology of Strings and Clusters in the 3-d Ising Model
We examine the geometrical and topological properties of surfaces surrounding clusters in the 3--$d$ Ising model. For geometrical clusters at the percolation temperature and Fortuin--Kasteleyn clusters at $T_c$, the number of surfaces of genus $g$ and area $A$ behaves as $A^{x(g)}e^{-\mu(g)A}$, with $x$ approximately l...
1994-01-26
2009-09-25
[ "hep-th", "cond-mat", "hep-lat" ]
V.S. Dotsenko, G. Harris, E. Marinari, E. Martinec, M. Picco and P. Windey
hep-th/9401124
The Broken Phase of the Topological Sigma model
The topological sigma model with the semi-infinite cigar-like target space (black hole geometry) is considered. The model is shown to possess unsuppressed instantons. The noncompactness of the moduli space of these instantons is responsible for an unusual physics. There is a stable vacuum state in which the vacuum ener...
1994-01-25
2010-11-01
[ "hep-th" ]
A.V. Yung
hep-th/9401120
A Global Analog of Cheshire Charge
It is shown that a model with a spontaneously broken global symmetry can support defects analogous to Alice strings, and a process analogous to Cheshire charge exchange can take place. A possible realization in superfluid He-3 is pointed out.
1994-01-25
2009-10-28
[ "hep-th", "cond-mat" ]
Patrick McGraw
hep-th/9401121
Chiral Rings and Integrable Systems for Models of Topological Gravity
(Talk given at Strings '93, Berkeley, and at XXVII. Internationales Symposium \"uber Elementarteilchentheorie, Wendisch-Rietz, 1993) We review the superconformal properties of matter coupled to $2d$ gravity, and $W$-extensions thereof. We show in particular how the \nex2 structure provides a direct link between certain...
1994-01-25
2007-05-23
[ "hep-th" ]
W. Lerche
hep-th/9401123
Schwinger's Method for the Massive Casimir Effect
We apply to the massive scalar field a method recently proposed by Schwinger to calculate the Casimir effect. The method is applied with two different regularization schemes: the Schwinger original one by means of Poisson formula and another one by means of analytical continuation.
1994-01-25
2009-10-28
[ "hep-th" ]
M.V. Cougo-Pinto, C. Farina and A.J. Segui-Santonja
hep-th/9401119
Tensor products of modules for a vertex operator algebra and vertex tensor categories
We introduce the main concepts and announce the main results in a theory of tensor products for module categories for a vertex operator algebra. This theory is being developed in a series of papers including hep-th 9309076 and hep-th 9309159. The theory applies in particular to any ``rational'' vertex operator algebra ...
1994-01-24
2008-02-03
[ "hep-th", "math.QA" ]
Yi-Zhi Huang and James Lepowsky
hep-th/9401114
General compact quantum groups, a tutorial
A tutorial introduction is given to general Hopf algebras and to general compact quantum groups. In the definition and further treatment of compact quantum groups C*-algebras are avoided. Contact with Woronowicz's compact matrix quantum groups is made at a later stage.
1994-01-24
2016-09-06
[ "hep-th", "math.OA", "math.QA" ]
Tom H. Koornwinder
hep-th/9401115
Quantum Hadrondynamics in Two Dimensions
A nonlocal and nonlinear theory of hadrons, equivalent to the color singlet sector two dimensional QCD, is constructed. The phase space space of this theory is an infinite dimensional Grassmannian. The baryon number of QCD corresponds to a topological invariant (`virtual rank') of the Grassmannian. It is shown that the...
1994-01-24
2015-06-26
[ "hep-th", "hep-ph" ]
S.G.Rajeev
hep-th/9401116
The critical O($N$) $\sigma$-model at dimension $2<d<4$: Hardy-Ramanujan distribution of quasi-primary fields and a collective fusion approach
The distribution of quasiprimary fields of fixed classes characterized by their O$(N)$ representations $Y$ and the number $p$ of vector fields from which they are composed at $N=\infty$ in dependence on their normal dimension $[\delta]$ is shown to obey a Hardy-Ramanujan law at leading order in a $\frac{1}{N}$-expansio...
1994-01-24
2009-10-28
[ "hep-th" ]
Klaus Lang, Werner Ruehl
hep-th/9401118
Integrable open-boundary conditions for the supersymmetric t-J model. The quantum group invariant case
We consider integrable open--boundary conditions for the supersymmetric t--J model commuting with the number operator $n$ and $S^{z}$. Four families, each one depending on two arbitrary parameters, are found. We find the relation between Sklyanin's method of constructing open boundary conditions and the one for the qua...
1994-01-24
2009-10-28
[ "hep-th" ]
A. Gonz\'alez-Ruiz
hep-th/9401117
Exact Yangian Symmetry in the Classical Euler-Calogero-Moser Model
We compute the $r$-matrix for the elliptic Euler-Calogero-Moser model. In the trigonometric limit we show that the model possesses an exact Yangian symmetry.
1994-01-24
2009-10-28
[ "hep-th" ]
E. Billey, J. Avan, O. Babelon
hep-th/9401113
Vortices in Bogomol'nyi Limit of Einstein Maxwell Higgs Theory with or without External Sources
The Abelian Higgs model with or without external particles is considered in curved space. Using the dual transformation, we rewrite the model in terms of dual gauge fields and derive the Bogomol'nyi-type bound. We examine cylindrically symmetric solutions to Einstein equations and the first-order Bogomol'nyi equations,...
1994-01-24
2010-11-01
[ "hep-th" ]
Chanju Kim and Yoonbai Kim
hep-th/9401112
q-Euclidean space and quantum group wick rotation by twisting
We study the quantum matrix algebra $R_{21}x_1x_2=x_2x_1 R$ and for the standard $2\times 2$ case propose it for the co-ordinates of $q$-deformed Euclidean space. The algebra in this simplest case is isomorphic to the usual quantum matrices $M_q(2)$ but in a form which is naturally covariant under the Euclidean rotatio...
1994-01-23
2009-10-28
[ "hep-th", "math.QA" ]
Shahn Majid
hep-th/9401108
A comment on the magical realizations of W_3
In the process of investigating classical realizations of W_3 in terms of free bosons, Romans unveiled a relation to finite-dimensional Jordan algebras with a cubic norm. These algebras have been classified and consist of an infinite series (yielding the ``generic'' realizations) and four sporadic algebras associated t...
1994-01-21
2009-10-28
[ "hep-th" ]
J. M. Figueroa-O'Farrill
hep-th/9401107
Loop Equations as a Generalized Virasoro Constraints
The loop equations in the $U(N)$ lattice gauge theory are represented in the form of constraints imposed on a generating functional for the Wilson loop correlators. These constraints form a closed algebra with respect to commutation. This algebra generalizes the Virasoro one, which is known to appear in one-matrix mode...
1994-01-21
2009-10-28
[ "hep-th" ]
K.Zarembo
hep-th/9401105
Bosonization as Duality
We show that bosonization in two dimensions can be derived as a special case of the duality transformations that have recently been used to good effect in string theory. This allows the construction of the bosonic counterpart of any fermionic theory simply by `following your nose' using the standard duality transformat...
1994-01-21
2009-10-28
[ "hep-th", "cond-mat", "hep-ph" ]
C.P. Burgess and F. Quevedo
hep-th/9401109
The Superscattering Matrix for Two Dimensional Black Holes
A consistent Euclidean semi classical calculation is given for the superscattering operator $\$ $ in the RST model for states with a constant flux of energy. The $\$ $ operator is CPT invariant. There is no loss of quantum coherence when the energy flux is less than a critical rate and complete loss when the energy flu...
1994-01-21
2009-10-28
[ "hep-th" ]
S.W. Hawking
hep-th/9401104
Exact renormalization group equation and decoupling in quantum field theory
New proves of decoupling of massive fields in several quantum field theories are derived in the effective Lagrangian approach based on Wilson renormalization group. In the most interesting case of gauge theories with spontaneous symmetry breaking, the approach, combined with the quantum action principle, leads to a rat...
1994-01-21
2009-10-28
[ "hep-th" ]
L. Girardello and A. Zaffaroni
hep-th/9401111
Interpretation of High Energy String Scattering in terms of String Configurations
High energy string scattering at fixed momentum transfer, known to be dominated by Regge trajectory exchange, is interpreted by identifying families of string states which induce each type of trajectory exchange. These include the usual leading trajectory $\alpha(t)=\alpha^\prime t+1$ and its daughters as well as the `...
1994-01-21
2009-12-30
[ "hep-th" ]
Steven L. Carbon and Charles B. Thorn
hep-th/9401106
An analysis on the convergence of equal-time commutators and the closure of the BRST algebra in Yang-Mills theories
In renormalizable theories, we define equal-time commutators (ETC'S) in terms of the equal-time limit and investigate its convergence in perturbation theory. We find that the equal-time limit vanishes for amplitudes with the effective dimension $d_{\em eff} \leq -2$ and is finite for those with $d_{\em eff} =-1$ but wi...
1994-01-21
2009-10-28
[ "hep-th" ]
Jisuke Kubo
hep-th/9401110
Diffeomorphisms Versus Non Abelian Gauge Transformations: An Example of 1+1 Dimensional Gravity
We investigate the phase space of a typical model of 1+1 dimensional gravity (Jackiw-Teitelboim model with cylindrical topology) using its reformulation as a non abelian gauge theory based on the sl(2,R) algebra. Modifying the conventional approach we argue that one should take the universal covering of SL(2,R) rather ...
1994-01-21
2009-10-28
[ "hep-th" ]
P.Schaller and T.Strobl
hep-th/9401098
Exact Duality and Nilpotent Gauging
We obtain new duality transformations relating some exact string backgrounds, by defining the nilpotent duality. We show that the ungauged $SL(2, R)$ WZW model transforms by its action into the three dimensional plane wave geometry. We also give the inverse transformation from the plane wave to the $SL(2, R)$ model and...
1994-01-20
2008-11-26
[ "hep-th" ]
Alok Kumar and Swapna Mahapatra
hep-th/9401099
A Renormalization Group Analysis of the NCG constraints $m_{top} = 2\,m_W}$, $m_{Higgs} = 3.14 \, m_W$
We study the evolution under the renormalization group of the restrictions on the parameters of the standard model coming from Non-Commutative Geometry, namely $m_{top} = 2\,m_W$ and $m_{Higgs} = 3.14 \, m_W$. We adopt the point of view that these relations are to be interpreted as {\it tree level} constraints and, as ...
1994-01-20
2016-08-14
[ "hep-th", "hep-ph" ]
E. Alvarez, J.M. Gracia-Bond\'ia and C.P. Mart\'in
hep-th/9401103
Quantum cohomology of partial flag manifolds
We compute the quantum cohomology rings of the partial flag manifolds F_{n_1\cdots n_k}=U(n)/(U(n_1)\times \cdots \times U(n_k)). The inductive computation uses the idea of Givental and Kim. Also we define a notion of the vertical quantum cohomology ring of the algebraic bundle. For the flag bundle F_{n_1\cdots n_k}(E)...
1994-01-20
2009-10-28
[ "hep-th", "math.AG" ]
Alexander Astashkevich, V. Sadov
hep-th/9401102
Black Hole Formation and Space-Time Fluctuations in Two Dimensional Dilaton Gravity and Complementarity
We study black hole formation in a model of two dimensional dilaton gravity and 24 massless scalar fields with a boundary. We find the most general boundary condition consistent with perfect reflection of matter and the constraints. We show that in the semiclassical approximation and for the generic value of the parame...
1994-01-20
2010-11-01
[ "hep-th" ]
Sumit R. Das and Sudipta Mukherji
hep-th/9401100
First Quantized Noncritical Relativistic Polyakov String
The first quantization of the relativistic Brink-DiVecchia-Howe-Polyakov (BDHP) string in the range $1<d<25$ is considered. It is shown that using the Polyakov sum over bordered surfaces in the Feynman path integral quantization scheme one gets a consistent quantum mechanics of relativistic 1-dim extended objects in th...
1994-01-20
2009-10-28
[ "hep-th" ]
Zbigniew Jask\'olski and Krzysztof A. Meissner
hep-th/9401095
Chirality of Knots $9_{42}$ and $10_{71}$ and Chern-Simons Theory
Upto ten crossing number, there are two knots, $9_{42}$ and $10_{71}$ whose chirality is not detected by any of the known polynomials, namely, Jones invariants and their two variable generalisations, HOMFLY and Kauffman invariants. We show that the generalised knot invariants, obtained through $SU(2)$ Chern-Simons topo...
1994-01-20
2009-10-28
[ "hep-th", "math.QA" ]
P. Ramadevi, T. R. Govindarajan, R. K. Kaul
hep-th/9401101
On quasitriangular Hopf algebras related to the Borel subalgebra of sl(2)
Explicit isomorphism is established between quasitriangular Hopf algebras studied recently by O.Ogievetsky and by the present author.
1994-01-20
2008-02-03
[ "hep-th", "math.QA" ]
A. A. Vladimirov
hep-th/9401097
Gauge Invariance in Quantum Electrodynamics
Contrary to the conventional view point of quantization that breaks the gauge symmetry, a gauge invariant formulation of quantum electrodynamics is proposed. Instead of fixing the gauge, some frame is chosen to yield the locally invariant fields. We show that all the formulations, such as the Coulomb, the axial, and th...
1994-01-20
2007-05-23
[ "hep-th" ]
Taro Kashiwa and Yasushi Takahashi
hep-th/9401094
Discrete Phase Transitions Associated to Topological Lattice Field Theories in Dimension $D\ge 2$
We investigate the neighborhood of Topological Lattice Field Theories (TLFTs) in the parameter space of general lattice field theories in dimension $D\geq 2$, and discuss the phase structures associated to them. We first define a volume-dependent TLFT, and discuss its decomposition to a direct sum of irreducible TLFTs,...
1994-01-20
2009-10-28
[ "hep-th", "gr-qc", "hep-lat" ]
Naoki Sasakura
hep-th/9401096
Construction of Non-critical String Field Theory by Transfer Matrix Formalism in Dynamical Triangulation
We propose a new method which analyzes the dynamical triangulation from the viewpoint of the non-critical string field theory. By using the transfer matrix formalism, we construct the non-critical string field theory (including $c>1$ cases) at the discrete level. For pure quantum gravity, we succeed in taking the conti...
1994-01-20
2009-10-28
[ "hep-th" ]
Yoshiyuki Watabiki
hep-th/9401087
Poincar\'{e} series of quantum matrix bialgebras determined by a pair of quantum spaces
The dimension of the third homogeneous component of a matrix quantum bialgebra, determined by pair of quantum spaces, is calculated. The Poincar\'{e} series of some deformations of $GL(n)$ is calculated. A new deformation of $GL(3)$ with the correct dimension is given.
1994-01-19
2008-02-03
[ "hep-th", "math.QA" ]
Phung Ho Hai (Munich Univ.)
hep-th/9401086
A Bilocal Field Approach to the Large-N Expansion of Two-Dimensional (Gauge) Theories
We consider a wide class of two-dimensional models as gauge theories, Gross-Neveu model, $O(N)$ and $CP^{N-1}$-like models using a formalism based on the introduction of bilocal fields that permits to perform easily the large-N expansion of this set of models in a unified and general way. We mainly discuss the $SU(N)$ ...
1994-01-19
2015-06-26
[ "hep-th" ]
M. Cavicchi
hep-th/9401090
Effective Interactions of Planar Fermions in a Strong Magnetic Field-the Effect of Landau Level Mixing
We obtain expressions for the current operator in the lowest Landau level (L.L.L.) field theory, where higher Landau level mixing due to various external and interparticle interactions is sytematically taken into account. We consider the current operators in the presence of electromagnetic interactions, both Coulomb an...
1994-01-19
2015-06-26
[ "hep-th", "cond-mat" ]
Rashmi Ray and Gil Gat
hep-th/9401092
The spectrum of the Dirac operator near zero virtuality for $N_c = 2$
We study the spectrum of the QCD Dirac operator near zero virtuality for $N_c =2$. According to a universality argument, it can be described by a random matrix theory with the chiral structure of QCD, but with $real$ matrix elements. Using results derived by Mehta and Mahoux and Nagao and Wadati, we are able to obtain ...
1994-01-19
2009-10-28
[ "hep-th" ]
Jacobus Verbaarschot
hep-th/9401085
Quantum Groups on Fibre Bundles
It is shown that the principle of locality and noncommutative geometry can be connnected by a sheaf theoretical method. In this framework quantum spaces are introduced and examples in mathematical physics are given. With the language of quantum spaces noncommutative principal and vector bundles are defined and their pr...
1994-01-19
2008-11-26
[ "hep-th", "math.QA" ]
Markus J. Pflaum
hep-th/9401088
Spin Content of the Quantum Soliton
The classical soliton solution, quantized by means of suitable translational and rotational collective coordinates, is embedded into the one-particle irreductible representation of the Poincare group corresponding to a definite spin. It is shown, that within the conventional quasiclassical expansion such embedding lead...
1994-01-19
2009-10-28
[ "hep-th" ]
A. Dubikovsky and K. Sveshnikov
hep-th/9401089
Decoupling of Translational and Rotational Modes for a Quantum Soliton
A set of integral relations for rotational and translational zero modes in the vicinity of the soliton solution are derived from the particle-like properties of the latter and verified for a number of models (solitons in 1+1-dimensions, skyrmeons in 2+1- and 3+1-dimensions, non-abelian monopoles). It is shown, that by ...
1994-01-19
2007-05-23
[ "hep-th" ]
A. Dubikovsky and K. Sveshnikov
hep-th/9401091
New N=4 Superfields and Sigma-models
In this note, we construct new representations of D=2, N=4 supersymmetry which do not involve chiral or twisted chiral multiplets. These multiplets may make it possible to circumvent no-go theorems about N=4 superspace formulations of WZWN-models.
1994-01-19
2009-10-28
[ "hep-th" ]
I.T. Ivanov, U. Lindstrom and M. Rocek
hep-th/9401093
Area-preserving diffeomorphisms, W_{\infty} and $U_{q}(sl(2)) in Chern-Simons theory and Quantum Hall system
We discuss a quantum \qa symmetry in Landau problem, which naturally arises due to the relation between the \qa and the group of magnetic translations. The last one is connected with the \w and area-preserving (symplectic) diffeomorphisms which are the canonical transformations in the two-dimenssional phase space. We s...
1994-01-19
2011-07-19
[ "hep-th", "cond-mat" ]
Ian I. Kogan
hep-th/9401083
On the Symmetries of Hamiltonian Systems
In this paper we show how the well-know local symmetries of Lagrangeans systems, and in particular the diffeomorphism invariance, emerge in the Hamiltonian formulation. We show that only the constraints which are linear in the momenta generate transformations which correspond to symmetries of the corresponding Lagrange...
1994-01-18
2010-11-01
[ "hep-th", "nlin.SI", "solv-int" ]
V. Mukhanov and A. Wipf
hep-th/9401082
WBase: a C package to reduce tensor products of Lie algebra representations
It is nearly twenty years that there exist computer programs to reduce products of Lie algebra irreps. This is a contribution in the field that uses a modern computer language (``C'') in a highly structured and object-oriented way. This gives the benefits of high portability, efficiency, and makes it easier to include ...
1994-01-18
2009-10-28
[ "hep-th", "math.RT" ]
A. Candiello
hep-th/9401081
Black Hole Evaporation and Quantum Gravity
In this note we consider some consequences of quantum gravity on the process of black hole evaporation. In particular, we will explain the suggestion by 't Hooft that quantum gravitational interactions effectively exclude simultaneous measurements of the Hawking radiation and of the matter falling into the black hole. ...
1994-01-18
2007-05-23
[ "hep-th" ]
K. Schoutens, E. Verlinde and H. Verlinde
hep-th/9401084
On the Algebraic--Geometrical Solutions of the sine--Gordon Equation
We examine the relation between two known classes of solutions of the sine--Gordon equation, which are expressed by theta functions on hyperelliptic Riemann surfaces. The first one is a consequence of the Fay's trisecant identity. The second class exists only for odd genus hyperelliptic Riemann surfaces which admit a f...
1994-01-18
2009-10-28
[ "hep-th" ]
R. Paunov
hep-th/9401080
Generic solutions for some integrable lattice equations
We derive the expressions for $\psi$-functions and generic solutions of lattice principal chiral equations, lattice KP hierarchy and hierarchy including lattice N-wave type equations. $\tau$-function of $n$ free fermions plays fundamental role in this context. Miwa's coordinates in our case appear as the lattice parame...
1994-01-17
2009-10-28
[ "hep-th", "nlin.SI", "solv-int" ]
L.V. Bogdanov (International Institute for Nonlinear Sciences, the Russian branch)
hep-th/9401079
Mini-Instantons
It is shown that the inhomogeneous saddle points of scale invariant theories make the semiclassical expansion sensitive on the choice of non-renormalizable operators. In particular, the instanton fugacity and the beta function of the two dimensional non-linear sigma model depends on apparently non-renormalizable operat...
1994-01-17
2007-05-23
[ "hep-th" ]
Vincenzo Branchina and Janos Polonyi
hep-th/9401076
Tetrahedron equation and the algebraic geometry
The tetrahedron equation arises as a generalization of the famous Yang--Baxter equation to the 2+1-dimensional quantum field theory and the 3-dimensional statistical mechanics. Very little is still known about its solutions. Here a systematic method is described that does produce non-trivial solutions to the tetrahedro...
1994-01-17
2008-02-03
[ "hep-th", "gr-qc", "math.AG" ]
I. G. Korepanov
hep-th/9401078
The Quantum Spectrum of the Conserved Charges in Affine Toda Theories
The exact eigenvalues of the infinite set of conserved charges on the multi-particle states in affine Toda theories are determined. This is done by constructing a free field realization of the Zamolodchikov-Faddeev algebra in which the conserved charges are realized as derivative operators. The resulting eigenvalues ar...
1994-01-17
2009-10-28
[ "hep-th" ]
M.R. Niedermaier
hep-th/9401077
Basic Representations of A_{2l}^(2) and D_{l+1}^(2) and the Polynomial Solutions to the Reduced BKP Hierarchies
Basic representations of A_{2l}^(2) and D_{l+1}^(2) are studied. The weight vectors are represented in terms of Schur's $Q$-functions. The method to get the polynomial solutions to the reduced BKP hierarchies is shown to be equivalent to a certain rule in Maya game.
1994-01-17
2009-10-28
[ "hep-th" ]
Tatsuhiro Nakajima and Hirofumi Yamada (Tokyo Metropolitan U.)
hep-th/9401075
An Infinite Dimensional Symmetry Algebra in String Theory
Symmetry transformations of the space-time fields of string theory are generated by certain similarity transformations of the stress-tensor of the associated conformal field theories. This observation is complicated by the fact that, as we explain, many of the operators we habitually use in string theory (such as verti...
1994-01-15
2011-07-19
[ "hep-th" ]
Mark Evans, Ioannis Giannakis and D. V. Nanopoulos
hep-th/9401070
Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
In this paper the entropy of an eternal Schwarzschild black hole is studied in the limit of infinite black hole mass. The problem is addressed from the point of view of both canonical quantum gravity and superstring theory. The entropy per unit area of a free scalar field propagating in a fixed black hole background is...
1994-01-15
2009-10-07
[ "hep-th", "gr-qc" ]
L. Susskind and J. Uglum
hep-th/9401063
Ordering, symbols, and finite-dimensional approximations of path integrals
We derive general form of finite-dimensional approximations of path integrals for both bosonic and fermionic canonical systems in terms of symbols of operators determined by operator ordering. We argue that for a system with a given quantum Hamiltonian such approximations are independent of the type of symbols up to te...
1994-01-14
2009-10-28
[ "hep-th", "hep-lat" ]
T. Kashiwa, S. Sakoda, S. V. Zenkin
hep-th/9401069
The String Dilaton and a Least Coupling Principle
It is pointed out that string-loop modifications of the low-energy matter couplings of the dilaton may provide a mechanism for fixing the vacuum expectation value of a massless dilaton in a way which is naturally compatible with existing experimental data. Under a certain assumption of universality of the dilaton coupl...
1994-01-14
2011-05-05
[ "hep-th" ]
T. Damour and A. M. Polyakov
hep-th/9401067
Visualizing 2D Quantum Field Theory: Geometry and Informatics of Mobilevision
This article is devoted to some interesting geometric and informatic interpretations of peculiarities of 2D quantum field theory, which become re- vealed after its visualization. Contents. I. Geometry of Mobilevision: 1.1. Interpretational geometry and anomalous virtual realities; 1.2. Quantum projective field th...
1994-01-14
2008-02-03
[ "hep-th", "adap-org", "nlin.AO", "nlin.PS", "patt-sol" ]
D. Juriev (Yur'ev; Mathematical Division, Research Institute for System Studies of Russian Academy of Sciences, Moscow, Russia)
hep-th/9401072
On Geometric Entropy
We show that a geometrical notion of entropy, definable in flat space, governs the first quantum correction to the Bekenstein-Hawking black hole entropy. We describe two methods for calculating this entropy -- a straightforward Hamiltonian approach, and a less direct but more powerful Euclidean (heat kernel) method. Th...
1994-01-14
2016-09-06
[ "hep-th" ]
Curtin Callan and Frank Wilczek
hep-th/9401074
Spinning Particles, Braid Groups and Solitons
We develop general techniques for computing the fundamental group of the configuration space of $n$ identical particles, possessing a generic internal structure, moving on a manifold $M$. This group generalizes the $n$-string braid group of $M$ which is the relevant object for structureless particles. In particular, we...
1994-01-14
2009-10-28
[ "hep-th" ]
Lee Brekke, Michael J. Dugan and Tom D. Imbo
hep-th/9401068
Diffeomorphisms of the Klein Bottle and Projective Plane
We calculate the Riemann curvature tensor and sectional curvature for the Lie group of volume-preserving diffeomorphisms of the Klein bottle and projective plane. In particular, we investigate the sign of the sectional curvature, and find a possible disagreement with a theorem of Lukatskii. We suggest an amendment to t...
1994-01-14
2008-02-03
[ "hep-th", "funct-an", "math.DG" ]
J. S. Apps and J. S. Dowker
hep-th/9401062
Generalized Two-Dimensional QCD
We study two-dimensional gauge theories with fundamental fermions and a general first order gauge-field Lagrangian. For the case of U(1) we show how standard bosonization of the Schwinger model generalizes to give mesons interacting through a general Landau-Ginzburg potential. We then show how for a subclass of SU(N) t...
1994-01-14
2009-10-28
[ "hep-th" ]
Michael R. Douglas (Rutgers), Keke Li (IAS) and Matthias Staudacher (ENS)
hep-th/9401066
A Simple Lattice Version of the Nonlinear Schrodinger Equation and its Deformation with Exact Quantum Solution
A lattice version of quantum nonlinear Schrodinger (NLS) equation is considered, which has significantly simple form and fullfils most of the criteria desirable for such lattice variants of field models. Unlike most of the known lattice NLS, the present model belongs to a class which does not exhibit the usual symmetry...
1994-01-14
2009-10-28
[ "hep-th" ]
A Kundu and Orlando Ragnisco
hep-th/9401065
Conformal symmetry of the coupled Chern-Simons and gauged nonlinear Schr\"odinger equations
The non-relativistic conformal symmetry found by Jackiw and Pi for the coupled Chern-Simons and gauged nonlinear Schr\"odinger equations in the plane is derived in a non-relativistic Kaluza-Klein framework.
1994-01-14
2011-07-19
[ "hep-th" ]
C. Duval, P.A. Horvathy and L. Palla
hep-th/9401061
A Contribution of the Trivial Connection to Jones Polynomial and Witten's Invariant of 3d Manifolds I
We use the Chern-Simons quantum field theory in order to prove a recently conjectured limitation on the 1/K expansion of the Jones polynomial of a knot and its relation to the Alexander polynomial. This limitation allows us to derive a surgery formula for the loop corrections to the contribution of the trivial connecti...
1994-01-14
2009-10-28
[ "hep-th", "math.QA" ]
Lev Rozansky
hep-th/9401073
Some Comments on QCD String
We try to draw lessons for higher dimensions from the string representations recently derived for large $N$ Yang-Mills theory by Gross and Taylor, Kostov, and others, and call attention to three characteristics that should be expected of a string theory precisely equivalent to a higher dimensional gauge theory: continu...
1994-01-14
2007-05-23
[ "hep-th" ]
Michael R. Douglas (Rutgers)
hep-th/9401071
Fermion number non-conservation and gravity
It is shown that in the Einstein-Yang-Mills (EYM) theory, as well as in the pure flat space Yang-Mills (YM) theory, there always exists an opportunity to pass over the potential barrier separating homotopically distinct vacuum sectors, because the barrier height may be arbitrarily small. However, at low energies all th...
1994-01-14
2009-09-25
[ "hep-th", "gr-qc" ]
Mikhail S.Volkov
hep-th/9401064
Minimal String Model in $Z_4$, $Z_6$ and $Z_8$ Orbifold Constructions
We examine whether a minimal string model possessing the same massless spectra as the MSSM can be obtained from $Z_4$, $Z_6$ and $Z_8$ orbifold constructions. Using an anomaly cancellation condition of the target space duality symmetry, we derive allowable values of a level $k_1$ of U(1)$_Y$ for the minimal string mode...
1994-01-14
2008-02-03
[ "hep-th" ]
H.Kawabe, T.Kobayashi and N.Ohtsubo
hep-th/9401060
Witten's Invariant of 3-Dimensional Manifolds: Loop Expansion and Surgery Calculus
We review two different methods of calculating Witten's invariant: a stationary phase approximation and a surgery calculus. We give a detailed description of the 1-loop approximation formula for Witten's invariant and of the technics involved in deriving its exact value through a surgery construction of a manifold. Fin...
1994-01-14
2008-02-03
[ "hep-th", "math.QA" ]
Lev Rozansky
hep-th/9401057
Renormalization-Group Improved Effective Potential for Interacting Theories with Several Mass Scales in Curved Spacetime
The renormalization group (RG) is used in order to obtain the RG improved effective potential in curved spacetime. This potential is explicitly calculated for the Yukawa model and for scalar electrodynamics, i.e. theories with several (namely, more than one) mass scales, in a space of constant curvature. Using the $\la...
1994-01-13
2009-09-17
[ "hep-th" ]
E. Elizalde and S.D. Odintsov
hep-th/9401059
The spectrum of the QCD Dirac operator and chiral random matrix theory: the threefold way
We argue that the spectrum of the QCD Dirac operator near zero virtuality can be described by random matrix theory. As in the case of classical random matrix ensembles of Dyson we have three distinct classes: the chiral orthogonal ensemble (chGOE), the chiral unitary ensemble (chGUE) and the chiral symplectic ensemble ...
1994-01-13
2011-07-18
[ "hep-th" ]
Jacobus Verbaarschot
hep-th/9401054
On the quantisation of the angular momentum
When a hydrogen-like atom is treated as a two dimensional system whose configuration space is multiply connected, then in order to obtain the same energy spectrum as in the Bohr model the angular momentum must be half-integral.
1994-01-13
2009-10-28
[ "hep-th" ]
Vu B Ho
hep-th/9401055
On a geometric derivation of Witten's identity for Chern-Simons theory
We present a formal but simple calculational scheme to relate the expectation value of Wilson loops in Chern-Simons theory to the Jones polynomial. We consider the exponential of the generator of homotopy transformations which produces the finite loop deformations that define the crossing change formulas of knot polyno...
1994-01-13
2007-05-23
[ "hep-th" ]
Bernd Bruegmann
hep-th/9401058
Hamiltonian Structures of the Multi-Boson KP Hierarchies, Abelianization and Lattice Formulation
We present a new form of the multi-boson reduction of KP hierarchy with Lax operator written in terms of boson fields abelianizing the second Hamiltonian structure. This extends the classical Miura transformation and the Kupershmidt-Wilson theorem from the (m)KdV to the KP case. A remarkable relationship is uncovered b...
1994-01-13
2009-10-28
[ "hep-th" ]
H. Aratyn, E. Nissimov and S. Pacheva
hep-th/9401056
Chiral Symmetry Breaking in the $d=3$ Nambu-Jona-Lasinio Model in Curved Spacetime
The phase structure of the $d=3$ Nambu-Jona-Lasinio model in curved spacetime is considered to leading order in the $1/N$--expansion and in the linear curvature approximation. The possibility of a curvature-induced first-order phase transition is investigated numerically. The dynamically generated fermionic mass is cal...
1994-01-13
2009-09-25
[ "hep-th" ]
E. Elizalde, S.D. Odintsov and Yu.I. Shil'nov
hep-th/9401047
Octonions and Binocular Mobilevision
This paper is devoted to an interaction of 2 objects: the 1st of them is octonions, the classical structure of pure mathematics, the 2nd one is Mobilevision, the recently developped technique of computer graphics. Namely, it is shown that the binocular Mobilevision maybe elaborated by use of the octonionic colour space...
1994-01-12
2016-09-06
[ "hep-th", "adap-org", "nlin.AO" ]
Denis Juriev (Yur'ev, Mathematical Division, Research Institute for System Studies of Russian Academy of Sciences, Moscow)
hep-th/9401049
Dynamical r-matrices and Separation of Variables: The Generalised Calogero-Moser Model
A generalisation of the classical Calogero-Moser model obtained by coupling it to the Gaudin model is considered. The recently found classical dynamical r-matrix [E. Billey, J. Avan and O. Babelon, PAR LPTHE 93-55] for the Euler-Calogero-Moser model is used to separate variables for this generalised Calogero-Moser mode...
1994-01-12
2009-10-28
[ "hep-th", "nlin.SI", "solv-int" ]
Tomasz Brzezinski
hep-th/9401045
A Lower Estimate for the Modified Steiner Functional
We prove inequality (1) for the modified Steiner functional A(M), which extends the notion of the integral of mean curvature for convex surfaces.We also establish an exression for A(M) in terms of an integral over all hyperplanes intersecting the polyhedralral surface M.
1994-01-12
2009-10-28
[ "hep-th" ]
G.K. Savvidy and R. Schneider
hep-th/9401048
A Left-Right Symmetric Model a la Connes-Lott
We present a left-right symmetric model with gauge group $U(@)_L\times U(@)_R$ in the Connes-Lott non-commutative frame work. Its gauge symmetry is broken spontaneously, parity remains unbroken.
1994-01-12
2009-10-28
[ "hep-th" ]
Bruno Iochum, Thomas Schucker
hep-th/9401046
Subtleties in QCD theory in Two Dimensions
It is shown that in a formulation of Yang-Mills theory in two dimensions in terms of $A=if^{-1}\pa f$, $\bar A=i\bar f\bpa\bar f^{-1}$ with $f(z,\bar z)$, $\bar f(z,\bar z)\in[SU(N_C)]^c$ the complexification of $SU(N_C)$ , reveals certain subtleties. ``Physical" massive color singlet states seem to exist. When coupled...
1994-01-12
2008-12-18
[ "hep-th", "hep-ph" ]
Y. Frishman, A. Hanany and J. Sonnenschein
hep-th/9401053
Nonrenormalization Theorem for Gauge Coupling in 2+1D
We prove that $\be$-function of the gauge coupling in $2+1D$ gauge theory coupled to any renormalizable system of spinor and scalar fields is zero. This result holds both when the gauge field action is the Chern-Simons action and when it is the topologically massive action.
1994-01-12
2015-06-26
[ "hep-th" ]
A.N.Kapustin, P.I.Pronin
hep-th/9401051
A consistent derivation of the quark--antiquark and three quark potentials in a Wilson loop context
In this paper we give a new derivation of the quark-antiquark potential in the Wilson loop context. This makes more explicit the approximations involved and enables an immediate extension to the three-quark case. In the $q\overline{q}$ case we find the same semirelativistic potential obtained in preceding papers but fo...
1994-01-12
2009-10-28
[ "hep-th" ]
N. Brambilla, P.Consoli and G.M. Prosperi
hep-th/9401050
Universal R-Matrix of Reductive Lie Algebras
The aim of the paper is to build a universal R-matrix for the multiparameter deformation of any reductive Lie algebra. Such deformations, formulated in the recent past by Truini and Varadarajan, have the property of universality in a certain class and are shown by the present paper to be quasitriangular Hopf algebras. ...
1994-01-12
2008-02-03
[ "hep-th", "math.QA" ]
A. Kundu and P. Truini
hep-th/9401052
The spectrum and solutions of the generalized BFKL equation for total cross section
The colour dipole cross section is the principal quantity in the lightcone $s$-channel description of the diffractive scattering. Recently we have shown that the dipole cross section satisfies the generalized BFKL equation. In this paper we discuss properties and solutions of our generalized BFKL equation with allowanc...
1994-01-12
2009-10-28
[ "hep-th", "hep-ph" ]
N.N. Nikolaev (1,2), B.G. Zakharov (1,2) and V.R.Zoller (1,3) ((1) IKP(Theorie), KFA Juelich, Juelich, Germany, (2) L. D. Landau Institute for Theoretical Physics, Moscow, Russia, (3) Institute for Theoretical and Experimental Physics, Moscow, Russia)
hep-th/9401044
Symmetries and Mass Splittings in QCD$_2$ Coupled to Adjoint Fermions
Two dimensional QCD coupled to fermions in the adjoint representation of the gauge group $SU(N)$, a useful toy model of QCD strings, is supersymmetric for a certain ratio of quark mass and gauge coupling constant. Here we study the theory in the vicinity of the supersymmetric point; in particular we exhibit the algebra...
1994-01-11
2009-10-28
[ "hep-th" ]
Joshua Boorstein and David Kutasov