Massive random matrix ensembles at beta = 1 & 4 : QCD in three dimensions

Details Massive random matrix ensembles at beta = 1 & 4 : QCD in three dimensions Massive random matrix ensembles at beta = 1 & 4 : QCD in three dimensions

2000-05-09

arxiv.org/abs/hep-th/0005077v1

Phys.Rev. D63 (2001) 045011

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, REVTeX 3.1 + mathlett.sty (attached), 4 figures

Scientific paper

10.1103/PhysRevD.63.045011

The zero momentum sectors in effective theories of three dimensional QCD coupled to pseudoreal (two colors) and real (adjoint) quarks in a classically parity-invariant manner have alternative descriptions in terms of orthogonal and symplectic ensembles of random matrices. Using this correspondence, we compute finite-volume QCD partition functions and correlation functions of Dirac operator eigenvalues in a presence of finite quark masses of the order of the smallest Dirac eigenvalue. These novel correlation functions, expressed in terms of quaternion determinants, are reduced to conventional results for the Gaussian ensembles in the quenched limit.

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