Brezin-Zee Universality : Why Quenched QCD in Matter is Subtle ?

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  • 13 June 1996
Abstract
We use a chiral random matrix model to discuss the QCD Dirac spectrum in the presence of a finite chemical potential. We show that the two-point Green's function in the chiral model is also related to the one-point Green's function, in agreement with the (macroscopic) universality argument of Br\'{e}zin and Zee. The non-hermitean character of the Dirac operator induces large fluctuations in the eigenvalues, causing the quenched approximation to break down. In the eigenvalue plane, the breakdown condition is set by the divergence of the two-point function. Our results are in agreement with a recent mean-field analysis presented by Stephanov, and overall consistent with quenched lattice simulations.

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