Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula
Eynard, Bertrand ; Orantin, Nicolas
arXiv, 0504058 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-04-19
Classification:  Mathematical Physics,  High Energy Physics - Theory 
@article{0504058,
     author = {Eynard, Bertrand and Orantin, Nicolas},
     title = {Topological expansion of the 2-matrix model correlation functions:
  diagrammatic rules for a residue formula},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504058}
}

Eynard, Bertrand; Orantin, Nicolas. Topological expansion of the 2-matrix model correlation functions:
  diagrammatic rules for a residue formula. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504058/