Publication : t03/028

Mixed correlation functions of the two-matrix model

Bertola M. (Department of Mathematics and Statistics, Concordia University 7141 Sherbrooke W., Montréal, Québec, CANADA H4B 1R6)
Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract:
We compute the correlation functions mixing the powers of two non-commuting random matrices within the same traces. The angular part of the integration was partially known from shatashvili and morozov's works: we pursue their calculation and carry out the eigenvalues integration reducing the problem to the construction of the associated biorthogonal polynomials. The result is a determinant involving the recursion coefficients of the orthogonal polynomials.
Année de publication : 2003
Revue : J. Phys. A 36 7733-7750 (2003)
Lien : http://stacks.iop.org/JPhysA/36/7733
Numéro Exterieur : CRM-2961
Langue : Anglais

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