Universality of correlation functions in random matrix models of QCD

We demonstrate the universality of the spectral correlation functions of a QCD inspired random matrix model that consists of a random part having the chiral structure of the QCT) Dirac operator and a deterministic part which describes a schematic temperature dependence, We calculate the correlation functions analytically using the technique of Itzykson-Zuber integrals for arbitrary complex supermatrices, An alternative exact calculation for arbitrary matrix size is given for the special case of zero temperature, and we reproduce the well-known Laguerre kernel, At finite temperature, the microscopic limit of the correlation functions are calculated in the saddle-point approximation, The main result of this paper is that the microscopic universality of correlation functions is maintained even though unitary invariance is broken by the addition of a deterministic matrix to the ensemble. (C) 1997 Published by Elsevier Science B.V.