Large N expansion of the 2-matrix model, multicut case

2003/07/25 by Bertrand Eynard, Eynard, Bertrand · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0307052

latex, 1 figure

arxiv created 2003/07/25 · arxiv updated 2009/12/01

Abstract

We present a method, based on loop equations, to compute recursively, all the terms in the large N topological expansion of the free energy for the 2-hermitian matrix model, in the case where the support of the density of eigenvalues is not connected. We illustrate the method by computing the free energy of a statistical physics model on a discretized torus.

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