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

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.

48 pages, LaTex, 68 figures

References in corpus (2)

• All genus correlation functions for the hermitian 1-matrix model
• Mixed correlation functions in the 2-matrix model, and the Bethe ansatz

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