Year: 1994
Type: article
Abstract: 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(${\mathit{N}}_{\mathit{c}}$), ${\mathit{N}}_{\mathit{c}}$\ensuremath{\ge}3 in the fundamental representation, and non-Abelian gauge groups SU(${\mathit{N}}_{\mathit{c}}$) for all ${\mathit{N}}_{\mathit{c}}$ with fermions in the adjoint representation, respectively. The joint probability density reproduces Leutwyler-Smilga sum rules.
Source: Physical Review Letters
Author: Jacobus Verbaarschot
Institution: Stony Brook University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: U.S. Department of Energy
OpenAlex ID: W2601300439