All genus correlation functions for the hermitian 1-matrix model

Details All genus correlation functions for the hermitian 1-matrix model All genus correlation functions for the hermitian 1-matrix model

2004-07-29

arxiv.org/abs/hep-th/0407261v1

JHEP0411:031,2004

Physics

High Energy Physics

High Energy Physics - Theory

latex, 19 figures

Scientific paper

10.1088/1126-6708/2004/11/031

We rewrite the loop equations of the hermitian matrix model, in a way which
allows to compute all the correlation functions, to all orders in the
topological $1/N^2$ expansion, as residues on an hyperelliptical curve. Those
residues, can be represented diagrammaticaly as Feynmann graphs of a cubic
interaction field theory on the curve.

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