Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-03-01
Phys.Rev. D62 (2000) 065007
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, REVTeX 3.1, 2 figures; (v2) corrections on signatures in eqs.(48), (53), (C7), and on referential notes
Scientific paper
10.1103/PhysRevD.62.065007
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.
Nagao Tatsuya
Nishigaki Shinsuke M.
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