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An approximation for random surfaces on arbitrary target spaces

Mark Wexler
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Abstract

A perturbative technique, the low-temperature expansion, is developed for matrix models of random surfaces. It can be applied to models with arbitrary target spaces, including ones with c>1. As a simple illustration, the series is worked out to 10th order for the surface coupled to a q-state Potts model. Accurate estimates for, e.g., $γ_{str}$ are obtained both in the low q (c<1) and high q (branched polymer) regimes, including the logarithmic corrections to scaling.

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Mark Wexler. 1995-05-15. An approximation for random surfaces on arbitrary target spaces. https://arxiv.org/abs/hep-th/9505087

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