Mixed Correlation Functions of the Two-Matrix Model
High Energy Physics - Theory
2008-11-26 v1 Condensed Matter
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.hep-th/0303161,
title = {Mixed Correlation Functions of the Two-Matrix Model},
author = {M. Bertola and B. Eynard},
journal= {arXiv preprint arXiv:hep-th/0303161},
year = {2008}
}
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16 pages