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arXiv · hep-th/9211064

Infinite Tension Strings at D>1

D. V. Boulatov
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Abstract

A matrix model describing surfaces embedded in a Bethe lattice is considered. From the mean field point of view, it is equivalent to the Kazakov-Migdal induced gauge theory and therefore, at $N=\infty$ and $d>1$, the latter can be interpreted as a matrix model for infinite-tension strings. We show that, in the naive continuum limit, it is governed by the one-matrix-model saddle point with an upside-down potential. To derive mean field equations, we consider the one-matrix model in external field. As a simple application, its explicit solution in the case of the inverted W potential is given.

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D. V. Boulatov. 1992-12-21. Infinite Tension Strings at D>1. https://doi.org/10.1142/s0217732393000581

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