Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2005

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

Bertrand Eynard
Nicolas Orantin
  • Fonction : Auteur
  • PersonId : 830004

Résumé

We rewrite the loop equations of the hermitian 2-matrix model, in a way which allows to compute all the correlation functions, to all orders in the topological $1/N^2$ expansion, as residues on an algebraic curve. Those residues, can be represented diagrammatically as Feynman graphs of a cubic interaction field theory on the curve.
Fichier principal
Vignette du fichier
texte21.pdf (617.95 Ko) Télécharger le fichier

Dates et versions

hal-00004752 , version 1 (19-04-2005)
hal-00004752 , version 2 (18-11-2005)

Identifiants

Citer

Bertrand Eynard, Nicolas Orantin. Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula. 2005. ⟨hal-00004752v1⟩
91 Consultations
197 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More