Free energy topological expansion for the 2-matrix model | Zendy

Leonid Chekhov | Zendy; Bertrand Eynard | Zendy; Nicolas Orantin | Zendy

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Free energy topological expansion for the 2-matrix model

Author(s) -

Leonid Chekhov,

Bertrand Eynard,

Nicolas Orantin

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/12/053

Subject(s) - diagrammatic reasoning , mathematics , matrix (chemical analysis) , topology (electrical circuits) , riemann surface , hermitian matrix , surface (topology) , pure mathematics , energy (signal processing) , computer science , geometry , combinatorics , materials science , composite material , statistics , programming language

We compute the complete topological expansion of the formal hermitiantwo-matrix model. For this, we refine the previously formulated diagrammaticrules for computing the 1/ N expansion of the nonmixed correlation functionsand give a new formulation of the spectral curve. We extend these rulesobtaining a closed formula for correlation functions in all orders oftopological expansion. We then integrate it to obtain the free energy in termsof residues on the associated Riemann surface.Comment: Latex, 31 pages, 20 figures; few misprints correcte

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