Master loop equations, free energy and correlations for the chain of matrices

Details Master loop equations, free energy and correlations for the chain of matrices Master loop equations, free energy and correlations for the chain of matrices

2003-09-03

arxiv.org/abs/hep-th/0309036v2

JHEP 0311 (2003) 018

Physics

High Energy Physics

High Energy Physics - Theory

latex, 1 figure .eps. Misprints corrected, references added

Scientific paper

10.1088/1126-6708/2003/11/018

The loop equations for a chain of hermitian random matrices are computed explicitely, including the 1/N^2 corrections. To leading order, the master loop equation reduces to an algebraic equation, whose solution can be written in terms of geometric properties of the underlying algebraic curve. In particular we compute the free energy, the resolvents, the 2-loop functions and some mixed one loop functions. We also initiate the calculation of the 1/N^2 expansion.

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