Non-homogenous disks in the chain of matrices

Details Non-homogenous disks in the chain of matrices Non-homogenous disks in the chain of matrices

2011-11-16

arxiv.org/abs/1111.3777v1

Physics

Mathematical Physics

25 pages, 4 figures

Scientific paper

We investigate the generating functions of multi-colored discrete disks with non-homogenous boundary conditions in the context of the Hermitian multi-matrix model where the matrices are coupled in an open chain. We show that the study of the spectral curve of the matrix model allows one to solve a set of loop equations to get a recursive formula computing mixed trace correlation functions to leading order in the large matrix limit.

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