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

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.

latex, 1 figure

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Cited by in corpus (9)

• All genus correlation functions for the hermitian 1-matrix model
• Free energy topological expansion for the 2-matrix model
• Algebraic methods in random matrices and enumerative geometry
• Master loop equations, free energy and correlations for the chain of matrices
• Genus one contribution to free energy in hermitian two-matrix model
• Loop equations for the semiclassical 2-matrix model with hard edges
• Second and Third Order Observables of the Two-Matrix Model
• A Lagrangean formalism for Hermitean matrix models
• Another algebraic variational principle for the spectral curve of matrix models