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arXiv · hep-th/0303161

Mixed Correlation Functions of the Two-Matrix Model

M. Bertola·B. Eynard
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Abstract

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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M. Bertola, B. Eynard. 2003-03-18. Mixed Correlation Functions of the Two-Matrix Model. https://doi.org/10.1088/0305-4470%2F36%2F28%2F304

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