Two-logarithm matrix model with an external field

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15pp., LaTeX, no figures, reference added

Scientific paper

10.1142/S0217732399002315

We investigate the two-logarithm matrix model with the potential
$X\Lambda+\alpha\log(1+X)+\beta\log(1-X)$ related to an exactly solvable
Kazakov-Migdal model. In the proper normalization, using Virasoro constraints,
we prove the equivalence of this model and the Kontsevich-Penner matrix model
and construct the 1/N-expansion solution of this model.

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