Matrix eigenvalue model: Feynman graph technique for all genera

Details Matrix eigenvalue model: Feynman graph technique for all genera Matrix eigenvalue model: Feynman graph technique for all genera

2006-04-06

arxiv.org/abs/math-ph/0604014v1

JHEP 0612:026,2006

Physics

Mathematical Physics

Latex, 27 pages

Scientific paper

10.1088/1126-6708/2006/12/026

We present the diagrammatic technique for calculating the free energy of the
matrix eigenvalue model (the model with arbitrary power $\beta$ 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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