Mixed Correlation Functions of the Two-Matrix Model

Details Mixed Correlation Functions of the Two-Matrix Model Mixed Correlation Functions of the Two-Matrix Model

2003-03-18

arxiv.org/abs/hep-th/0303161v1

J.Phys.A36:7733-7750,2003

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1088/0305-4470/36/28/304

We compute the correlation functions mixing the powers of two non-commuting random matrices within the same trace. The angular part of the integration was partially known in the literature: we pursue the calculation and carry out the eigenvalue integration reducing the problem to the construction of the associated biorthogonal polynomials. The generating function of these correlations becomes then a determinant involving the recursion coefficients of the biorthogonal polynomials.

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