Spectra of massive QCD Dirac Operators from Random Matrix Theory: all three chiral symmetry breaking patterns

Details Spectra of massive QCD Dirac Operators from Random Matrix Theory: all three chiral symmetry breaking patterns Spectra of massive QCD Dirac Operators from Random Matrix Theory: all three chiral symmetry breaking patterns

2000-10-31

arxiv.org/abs/hep-lat/0010092v2

Nucl.Phys.Proc.Suppl.94:681-684,2001

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 4 pages, 3 figures, Lattice 2000 (Gravity and Matrix Models), typos corrected

Scientific paper

10.1016/S0920-5632(01)00876-3

The microscopic spectral eigenvalue correlations of QCD Dirac operators in the presence of dynamical fermions are calculated within the framework of Random Matrix Theory (RMT). Our approach treats the low--energy correlation functions of all three chiral symmetry breaking patterns (labeled by the Dyson index $\beta=1,2$ and 4) on the same footing, offering a unifying description of massive QCD Dirac spectra. RMT universality is explicitly proven for all three symmetry classes and the results are compared to the available lattice data for $\beta=4$.

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