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

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

2005-04-19

arxiv.org/abs/math-ph/0504058v2

JHEP 0512:034,2005

Physics

Mathematical Physics

48 pages, LaTex, 68 figures

Scientific paper

10.1088/1126-6708/2005/12/034

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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