Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/457
Title: Equivalence of matrix models for complex QCD dirac spectra
Authors: Akemann, G
Issue Date: 2003
Publisher: Jagellonian University, Cracow, Poland
Citation: Acta Physica Polonica B 34(10): 4653-4666, Jul 2003
Abstract: Two different matrix models for QCD with a non-vanishing quark chemical potential are shown to be equivalent by mapping the corresponding partition functions. The equivalence holds in the phase with broken chiral symmetry. It is exact in the limit of weak non-Hermiticity, where the chemical potential squared is rescaled with the volume. At strong non-Hermiticity it holds only for small chemical potential. The first model proposed by Stephanov is directly related to QCD and allows to analyze the QCD phase diagram. In the second model suggested by the author all microscopic spectral correlation functions of complex Dirac operators can be calculated in the broken phase. We briefly compare those predictions to complex Dirac eigenvalues from quenched QCD lattice simulations.
URI: http://th-www.if.uj.edu.pl/acta/vol34/abs/v34p4653.htm
http://bura.brunel.ac.uk/handle/2438/457
Appears in Collections:Mathematical Science
Dept of Mathematics Research Papers

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