Massive chiral random matrix ensembles at beta = 1 & 4 : Finite-volume QCD partition functions

Details Massive chiral random matrix ensembles at beta = 1 & 4 : Finite-volume QCD partition functions Massive chiral random matrix ensembles at beta = 1 & 4 : Finite-volume QCD partition functions

2000-01-21

arxiv.org/abs/hep-th/0001137v2

Phys.Rev. D62 (2000) 065006

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, REVTeX 3.1, no figure; (v2) corrected signatures of c's

Scientific paper

10.1103/PhysRevD.62.065006

In a deep-infrared (ergodic) regime, QCD coupled to massive pseudoreal and real quarks are described by chiral orthogonal and symplectic ensembles of random matrices. Using this correspondence, general expressions for the QCD partition functions are derived in terms of microscopically rescaled mass variables. In limited cases, correlation functions of Dirac eigenvalues and distributions of the smallest Dirac eigenvalue are given as ratios of these partition functions. When all masses are degenerate, our results reproduce the known expressions for the partition functions of zero-dimensional sigma models.

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