Mixed correlation functions in the 2-matrix model, and the Bethe ansatz

Abstract

Using loop equation technics, we compute all mixed traces correlation functions of the 2-matrix model to large N leading order. The solution turns out to be a sort of Bethe Ansatz, i.e. all correlation functions can be decomposed on products of 2-point functions. We also find that, when the correlation functions are written collectively as a matrix, the loop equations are equivalent to commutation relations.

38 pages, LaTex, 24 figures. misprints corrected, references added, a technical part moved to appendix

References in corpus (1)

• All genus correlation functions for the hermitian 1-matrix model

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