Quark spectra, topology and random matrix theory

Preprint

22 February 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9902117

Abstract

Quark spectra in QCD are linked to fundamental properties of the theory including the identification of pions as the Goldstone bosons of spontaneously broken chiral symmetry. The lattice Overlap-Dirac operator provides a nonperturbative, ultraviolet-regularized description of quarks with the correct chiral symmetry. Properties of the spectrum of this operator and their relation to random matrix theory are studied here. In particular, the predictions from chiral random matrix theory in topologically non-trivial gauge field sectors are tested for the first time.

Keywords

RANDOM MATRIX THEORY
CHIRAL SYMMETRY
QUARK SPECTRA
THEORY QUARK
PROPERTIES
QCD

All Related Versions

Version 1, 1999-02-16, ArXiv
Version 2, 1999-02-22, ArXiv
Published version: Physical Review Letters, 82 (21), 4188.

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