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Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula

Bertrand Eynard·Nicolas Orantin
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Abstract

We solve the loop equations of the hermitian 2-matrix model to all orders in the topological $1/N^2$ expansion, i.e. we obtain all non-mixed correlation functions, in terms of residues on an algebraic curve. We give two representations of those residues as Feynman-like graphs, one of them involving only cubic vertices.

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Bertrand Eynard, Nicolas Orantin. 2005-11-18. Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula. https://doi.org/10.1088/1126-6708%2F2005%2F12%2F034

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