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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/196999The 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 $β=1,2$ 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 $β=4$.LaTeX, 4 pages, 3 figures, Lattice 2000 (Gravity and Matrix Models), typos correctedHigh Energy Physics - LatticeSpectra of massive QCD Dirac Operators from Random Matrix Theory: all three chiral symmetry breaking patternstext