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Matrix eigenvalue model: Feynman graph technique for all genera

Leonid Chekhov, Bertrand Eynard

math-pharXiv:math-ph/0604014

Abstract

We present the diagrammatic technique for calculating the free energy of the matrix eigenvalue model (the model with arbitrary power β by the Vandermonde determinant) to all orders of 1/N expansion in the case where the limiting eigenvalue distribution spans arbitrary (but fixed) number of disjoint intervals (curves).

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