Infinite Tension Strings at D>1

Details Infinite Tension Strings at D>1 Infinite Tension Strings at D>1

1992-11-14

arxiv.org/abs/hep-th/9211064v3

Mod.Phys.Lett. A8 (1993) 557-572

Physics

High Energy Physics

High Energy Physics - Theory

16 pages (Seriously revised)

Scientific paper

10.1142/S0217732393000581

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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