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hep-th1993★ 138 cited

Generalized Kazakov-Migdal-Kontsevich Model: group theory aspects

S. Kharchev, A. Marshakov, A. Mironov +1

The Kazakov-Migdal model, if considered as a functional of external fields, can be always represented as an expansion over characters of group. The integration over "matter fi…

cond-mat1993★ 74 cited

Quantum Group and Magnetic Translations. Bethe-Ansatz Solution for Azbel-Hofstadter Problem

P. B Wiegmann, A. V. Zabrodin

We present a new approach to the problem of Bloch electrons in magnetic ( sometimes called Azbel-Hofstadter problem) field, by making explicit a natural relation between the group…

astro-ph1993★ 9 cited

Dark Matter Annihilations in the Large Magellanic Cloud

P Gondolo

The flat rotation curve obtained for the outer star clusters of the Large Magellanic Cloud is suggestive of an LMC dark matter halo. From the composite HI and star cluster rotation…

hep-th1993★ 3 cited

On the Infrared Limit of Two Dimensional QCD

A. J. Niemi, P. Pasanen

We study the infrared limit of two dimensional QCD, with massless dynamical Dirac fermions that are in the fundamental representation of the gauge group. We find that the theory re…

hep-th1993★ 147 cited

Symplectic structure of the moduli space of flat connections on a Riemann surface

A. Yu. Alekseev, A. Z. Malkin

We consider canonical symplectic structure on the moduli space of flat ${\g}$-connections on a Riemann surface of genus with marked points. For ${\g}$ being a semisimple Li…

hep-th1993★ 4 cited

Symplectic Geometry of Supersymmetry and Nonlinear Sigma Model

Kaupo Palo

Recently it has been argued, that Poincaré supersymmetric field theories admit an underlying loop space hamiltonian (symplectic) structure. Here shall establish this at the level o…

gr-qc1993★ 2 cited

On kinematical constraints in Regge calculus

V. Khatsymovsky

In the (3+1)D Hamiltonian Regge calculus (one of the coordinates, , is continuous) conjugate variables are (defined on triangles of discrete 3D section ) finite conne…

gr-qc1993★ 5 cited

On quantization of Regge links

V. Khatsymovsky

In quantum Regge calculus areas of timelike triangles possess discrete spectrum. This is because bivectors of these triangles are variables canonically conjugate to orthogonal conn…

gr-qc1993★ 13 cited

How to construct quantum measure in Regge calculus?

V. Khatsymovsky

We propose the following way of constructing quantum measure in Regge calculus: the full discrete Regge manifold is made continuous in some direction by tending corresponding dimen…

gr-qc1993★ 33 cited

Can wormholes exist?

V. Khatsymovsky

Renormalized vacuum expectation values of electromagnetic stress-energy tensor are calculated in the background spherically-symmetrical metric of the wormhole's topology. Covariant…

hep-ph1993★ 9 cited

Stability Analysis of Sum Rules for Compton Scattering

Claudio Coriano', Hsiang-nan Li

We perform a stability analysis of a recently proposed sum rule for pion Compton scattering at fixed angle and moderate Mandelstam invariants. The sum rule is found to be sensitive…

math.PR1993★ 10 cited

The birth of the giant component

Svante Janson, Donald E. Knuth, Tomasz Łuczak +1

Limiting distributions are derived for the sparse connected components that are present when a random graph on vertices has approximately $\half n$ edges. In particular, we sho…

hep-th1993★ 7 cited

On Quantum Integrability and the Lefschetz Number

A. J. Niemi, K. Palo

Certain phase space path integrals can be evaluated exactly using equivariant cohomology and localization in the canonical loop space. Here we extend this to a general class of mod…

hep-ph1993★ 9 cited

Decorated-box-diagram-contributions to Bhabha scattering. (II)

Göran Fäldt, Per Osland

We evaluate, in the high-energy limit, , the sum of amplitudes corresponding to a class of Feynman diagrams describing two-loop virtual photonic corrections t…

hep-th1993★ 175 cited

Hamiltonian systems of Calogero type and two dimensional Yang-Mills theory

A. Gorsky, N. Nekrasov

We obtain integral representations for the wave functions of Calogero-type systems,corresponding to the finite-dimentional Lie algebras,using exact evaluation of path integral.We g…

hep-ph1993★ 14 cited

Decorated-box-diagram-contributions to Bhabha scattering. (I)

Göran Fäldt, Per Osland

We evaluate, in the high-energy limit, , the sum of amplitudes corresponding to a class of Feynman diagrams describing two-loop virtual photonic corrections t…

hep-th1993★ 10 cited

Ward identities and W-constraints in Generalized Kontsevich Model

A. Mikhailov

The connection is obtained between Ward identities and W-constraints in Generalized Kontsevich Model with the potential . We show that Ward identities include W-constraints…

hep-th1993★ 192 cited

Symplectic structures associated to Lie-Poisson groups

A. Yu. Alekseev, A. Z. Malkin

The Lie-Poisson analogues of the cotangent bundle and coadjoint orbits of a Lie group are considered. For the natural Poisson brackets the symplectic leaves in these manifolds are…

hep-th1993★ 16 cited

Degenerations of Sklyanin algebra and Askey-Wilson polynomials

A. S. Gorsky, A. V. Zabrodin

A new trigonometric degeneration of the Sklyanin algebra is found and the functional realization of its representations in space of polynomials in one variable is studied. A furthe…