Spectral Density of the QCD Dirac Operator near Zero Virtuality
High Energy Physics - Theory
2009-10-22 v1
Abstract
We investigate the spectral properties of a random matrix model, which in the large 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.
Keywords
Cite
@article{arxiv.hep-th/9303012,
title = {Spectral Density of the QCD Dirac Operator near Zero Virtuality},
author = {J. J. M. Verbaarschot and I. Zahed},
journal= {arXiv preprint arXiv:hep-th/9303012},
year = {2009}
}
Comments
9 pages + 1 figure, SUNY-NTG-93/2