Spectrum of the QCD Dirac operator and chiral random matrix theory.

@article{Verbaarschot1994SpectrumOT,
  title={Spectrum of the QCD Dirac operator and chiral random matrix theory.},
  author={Verbaarschot},
  journal={Physical review letters},
  year={1994},
  volume={72 16},
  pages={
          2531-2533
        }
}
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 N][sub [ital c]]), [ital N][sub [ital c]][ge]3 in the fundamental representation, and non-Abelian gauge… CONTINUE READING

Topics from this paper.

Citations

Publications citing this paper.
SHOWING 1-10 OF 52 CITATIONS

Random Matrix Theories for Lattice QCD Dirac Operators

VIEW 8 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

Random matrix approaches to open quantum systems

VIEW 5 EXCERPTS
CITES BACKGROUND
HIGHLY INFLUENCED

FILTER CITATIONS BY YEAR

1994
2019

CITATION STATISTICS

  • 9 Highly Influenced Citations