Mixed correlation functions in the 2-matrix model, and the Bethe ansatz
High Energy Physics - Theory
2009-11-24 v2
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.
Cite
@article{arxiv.hep-th/0504029,
title = {Mixed correlation functions in the 2-matrix model, and the Bethe ansatz},
author = {B. Eynard and N. Orantin},
journal= {arXiv preprint arXiv:hep-th/0504029},
year = {2009}
}
Comments
38 pages, LaTex, 24 figures. misprints corrected, references added, a technical part moved to appendix