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

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Published 5 August 2005 Published under licence by IOP Publishing Ltd
, , Citation Bertrand Eynard and Nicolas Orantin JHEP08(2005)028 DOI 10.1088/1126-6708/2005/08/028

1126-6708/2005/08/028

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.

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10.1088/1126-6708/2005/08/028