Pré-Publication, Document De Travail Année : 2005

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

Résumé

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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Dates et versions

hal-00004752 , version 1 (19-04-2005)
hal-00004752 , version 2 (18-11-2005)

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Bertrand Eynard, Nicolas Orantin. Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula. 2005. ⟨hal-00004752v2⟩
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