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arxiv: math-ph/0604014 · v1 · submitted 2006-04-06 · 🧮 math-ph · hep-th· math.MP

Matrix eigenvalue model: Feynman graph technique for all genera

classification 🧮 math-ph hep-thmath.MP
keywords eigenvaluemodelarbitrarymatrixtechniquebetacalculatingcase
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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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