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Verbaarschot, J
Physical review letters, 04/1994, Letnik: 72, Številka: 16Journal Article
We argue that the spectrum of the QCD Dirac operator near zero virtuality can be described by random matrix theory. As in the case of the classical random matrix ensembles of Dyson we have three different cases: the chiral orthogonal ensemble, the chiral unitary ensemble, and the chiral symplectic ensemble. They correspond to gauge groups SU(2) in the fundamental representation, SU(ital Nsub ital c), ital Nsub ital cge3 in the fundamental representation, and non-Abelian gauge groups SU(ital Nsub ital c) for all ital Nsub ital c with fermions in the adjoint representation, respectively. The joint probability density reproduces Leutwyler-Smilga sum rules.
