Publication : t05/045

Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula

Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Orantin N. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)

Abstract:
We solve the loop equations of the hermitian 2-matrix model to all orders in the topological 1/N^2 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.

Année de publication : 2005
Revue : JHEP 0512 034 (2005)
DOI : 10.1088/1126-6708/2005/12/034
Preprint : arXiv:math-ph/0504058
Lien : http://stacks.iop.org/1126-6708/2005/i=12/a=034
Keywords : Differential and Algebraic Geometry, 1/N Expansion, Topological Field Theories, Matrix Models
Langue : Anglais
NB : 12, 034 (2005)

Fichier(s) à télécharger :

1126-6708_2005_12_034.pdf

publi.pdf