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

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

2003-07-25

arxiv.org/abs/math-ph/0307052v1

Physics

Mathematical Physics

latex, 1 figure

Scientific paper

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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