Chiral random matrix theory and the spectrum of the Dirac operator near zero virtuality

Details Chiral random matrix theory and the spectrum of the Dirac operator near zero virtuality Chiral random matrix theory and the spectrum of the Dirac operator near zero virtuality

1993-10-07

arxiv.org/abs/hep-th/9310049v1

Acta Phys.Polon.B25:133-149,1994

Physics

High Energy Physics

High Energy Physics - Theory

20 pages + 2 figures, SUNY-NTG-93/40

Scientific paper

We investigate the spectral properties of a random matrix model, which in the large $N$ limit, embodies the essentials of the QCD partition function at low energy. The exact spectral density and its pair correlation function are derived for an arbitrary number of flavors and zero topological charge. Their microscopic limit provide the master formulae for sum rules for the inverse powers of the eigenvalues of the QCD Dirac operator as recently discussed by Leutwyler and Smilga.

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