Mixed Correlation Functions of the Two-Matrix Model
arXiv:hep-th/0303161 · doi:10.1088/0305-4470/36/28/304
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.
16 pages