The Spectrum of the Kazakov Migdal-Model

Details The Spectrum of the Kazakov Migdal-Model The Spectrum of the Kazakov Migdal-Model

1992-12-20

arxiv.org/abs/hep-lat/9212027v1

Nucl.Phys. B404 (1993) 173-186

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, UTHEP-250

Scientific paper

10.1016/0550-3213(93)90477-7

Gross has found an exact expression for the density of eigenvalues in the simplest version of the Kazakov-Migdal model of induced QCD. In this paper we compute the spectrum of small fluctuations around Gross's semi-circular solution. By solving Migdal's wave equation we find a string-like spectrum which, in four dimensions, corresponds to the infinite tower of mesons in strong coupling lattice QCD with adjoint matter. In one dimension our formula reproduces correctly the well known spectrum of the hermitean matrix model with a harmonic oscillator potential. We comment on the relevance of our results to the possibility of the model describing extended objects in more than one dimension.

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