Free energy topological expansion for the 2-matrix model
Mathematical Physics
2011-07-19 v2 High Energy Physics - Theory
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0603003,
title = {Free energy topological expansion for the 2-matrix model},
author = {Leonid Chekhov and Bertrand Eynard and Nicolas Orantin},
journal= {arXiv preprint arXiv:math-ph/0603003},
year = {2011}
}
Comments
Latex, 31 pages, 20 figures; few misprints corrected