v 2 3 M ar 2 00 6 Free energy topological expansion for the 2 - matrix model

  • L . Chekhov, B . Eynard, N . Orantin
  • Published 2006

Abstract

We compute the complete topological expansion of the formal hermitian twomatrix 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.

Cite this paper

@inproceedings{Chekhov2006v23, title={v 2 3 M ar 2 00 6 Free energy topological expansion for the 2 - matrix model}, author={L . Chekhov and B . Eynard and N . Orantin}, year={2006} }