Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula
Mathematical Physics
2011-07-19 v2 High Energy Physics - Theory
math.MP
Abstract
We solve the loop equations of the hermitian 2-matrix model to all orders in the topological 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.
Keywords
Cite
@article{arxiv.math-ph/0504058,
title = {Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula},
author = {Bertrand Eynard and Nicolas Orantin},
journal= {arXiv preprint arXiv:math-ph/0504058},
year = {2011}
}
Comments
48 pages, LaTex, 68 figures