Free energy topological expansion for the 2-matrix model
Chekhov L. (
LIFR-MI2P, ITEP, Steklov Institute, RUSSIA)
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 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.
Année de publication : 2006
Revue : JHEP
0612 053 (2006)
DOI :
10.1088/1126-6708/2006/12/053Preprint :
arXiv:math-ph/0603003 Lien :
http://stacks.iop.org/1126-6708/2006/i=12/a=053 Keywords : Matrix Models; Differential and Algebraic Geometry; Topological Strings
Numéro Exterieur : ccsd-00019891 ; ITEP/TH-05/06
Langue : Anglais
NB : [30 pp.]
Fichier(s) à télécharger : 1126-6708_2006_12_053.pdf publi.pdf