Massive chiral random matrix ensembles at beta = 1 & 4 : QCD Dirac operator spectra

Abstract

The zero momentum sectors in effective theories of QCD coupled to pseudoreal (two colors) and real (adjoint) quarks have alternative descriptions in terms of chiral orthogonal and symplectic ensembles of random matrices. Using this correspondence, we compute correlation functions of Dirac operator eigenvalues within a sector with an arbitrary topological charge in a presence of finite quark masses of the order of the smallest Dirac eigenvalue. These novel correlation functions, expressed in terms of Pfaffians, interpolate between known results for the chiral and quenched limits as quark masses vary.

12 pages, REVTeX 3.1, 2 figures; (v2) corrections on signatures in eqs.(48), (53), (C7), and on referential notes

References in corpus (2)

• The Spectral Density of the QCD Dirac Operator and Patterns of Chiral Symmetry Breaking
• Microscopic Universality and the Chiral Phase Transition in two Flavor QCD

Cited by in corpus (12)

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• Singular values of the Dirac operator in dense QCD-like theories
• Matrix Models and QCD with Chemical Potential
• Massive partition functions and complex eigenvalue correlations in Matrix Models with symplectic symmetry
• Patterns of Spontaneous Chiral Symmetry Breaking in Vectorlike Gauge Theories
• Massive random matrix ensembles at beta = 1 & 4 : QCD in three dimensions
• Chiral Random Matrix Theory and Chiral Perturbation Theory
• On the Microscopic Spectra of the Massive Dirac Operator for Chiral Orthogonal and Chiral Symplectic Ensembles
• Nonrelativistic Banks-Casher relation and random matrix theory for multi-component fermionic superfluids