Spectral Density of the QCD Dirac Operator near Zero Virtuality

Details Spectral Density of the QCD Dirac Operator near Zero Virtuality Spectral Density of the QCD Dirac Operator near Zero Virtuality

1993-03-02

arxiv.org/abs/hep-th/9303012v1

Phys.Rev.Lett. 70 (1993) 3852-3855

Physics

High Energy Physics

High Energy Physics - Theory

9 pages + 1 figure, SUNY-NTG-93/2

Scientific paper

10.1103/PhysRevLett.70.3852

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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