Pré-Publication, Document De Travail Année : 2006

Free energy topological expansion for the 2-matrix model.

Résumé

We compute the complete topological expansion of the formal hermitian two-matrix model. For this, we refine the previously formulated diagrammatic rules for computing the 1/ N expansion of the nonmixed correlation functions and give a new formulation of the spectral curve. We extend these rules obtaining a closed formula for correlation functions in all orders of topological expansion. We then integrate it to obtain the free energy in terms of residues on the associated Riemann surface.

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Dates et versions

hal-00019891 , version 1 (01-03-2006)
hal-00019891 , version 2 (02-03-2006)

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Leonid Chekhov, Bertrand Eynard, Nicolas Orantin. Free energy topological expansion for the 2-matrix model.. 2006. ⟨hal-00019891v2⟩
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