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An approximation for random surfaces on arbitrary target spaces

1995/05/15 by Mark Wexler, Wexler, Mark
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #hep-lat #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9505087

31 pages, uuencoded Postscript (also available at http://parthe.lpthe.jussieu.fr/~wexler/ )

arxiv created 1995/05/15 · arxiv updated 2009/11/30

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., γstr 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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