Massive chiral random matrix ensembles atβ=1and 4: QCD Dirac operator spectra
- 22 August 2000
- journal article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 62 (6)
- https://doi.org/10.1103/physrevd.62.065007
Abstract
The zero momentum sectors in effective theories of quantum chromodynamics 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 the 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. DOI: http://dx.doi.org/10.1103/PhysRevD.62.065007 © 2000 The American Physical SocietyKeywords
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