The spectrum of the Dirac operator near zero virtuality for $N_c = 2$

Details The spectrum of the Dirac operator near zero virtuality for $N_c = 2$ The spectrum of the Dirac operator near zero virtuality for $N_c = 2$

1994-01-19

arxiv.org/abs/hep-th/9401092v1

Nucl.Phys. B426 (1994) 559-574

Physics

High Energy Physics

High Energy Physics - Theory

21 pages and 2 figures, SUNY-NTG-94/2

Scientific paper

10.1016/0550-3213(94)90021-3

We study the spectrum of the QCD Dirac operator near zero virtuality for $N_c =2$. According to a universality argument, it can be described by a random matrix theory with the chiral structure of QCD, but with $real$ matrix elements. Using results derived by Mehta and Mahoux and Nagao and Wadati, we are able to obtain an analytical result for the microscopic spectral density that in turn is the generating function for Leutwyler-Smilga type spectral sum rules.

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