Spectra of massive QCD Dirac operators from random matrix theory: All three chiral symmetry breaking patterns

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