1994/01/13 by Jacobus Verbaarschot · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevlett.72.2531
published as Phys.Rev.Lett.72:2531-2533,1994 · 7 pages, SUNY-NTG-94/1
arxiv created 1994/01/13 · arxiv updated 2011/07/18
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 classical random matrix ensembles of Dyson we have three distinct classes: the chiral orthogonal ensemble (chGOE), the chiral unitary ensemble (chGUE) and the chiral symplectic ensemble (chGSE). They correspond to gauge groups SU(2) in the fundamental representation, SU(Nc), Nc ≥ 3 in the fundamental representation, and gauge groups for all Nc in the adjoint representation, respectively. The joint probability density reproduces Leutwyler-Smilga sum rules.