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Spectral Density of the QCD Dirac Operator near Zero Virtuality
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Spectral Density of the QCD Dirac Operator near Zero Virtuality
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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.
Forward citations
Cited by 2 Pith papers
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Analysis of the QCD Kondo phase using random matrices
A novel random matrix model for the QCD Kondo phase is solved in the large-N limit, revealing three phases and deriving low-energy effective theories for Nambu-Goldstone modes.
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