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Matrix eigenvalue model: Feynman graph technique for all genera

Leonid Chekhov·Bertrand Eynard
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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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Leonid Chekhov, Bertrand Eynard. 2006-04-06. Matrix eigenvalue model: Feynman graph technique for all genera. https://doi.org/10.1088/1126-6708%2F2006%2F12%2F026

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