On the chirality of quark modes

Details On the chirality of quark modes On the chirality of quark modes

2002-08-07

arxiv.org/abs/hep-ph/0208064v1

Phys.Rev. D66 (2002) 074020

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTeX4, 5 figures, 14 pages

Scientific paper

10.1103/PhysRevD.66.074020

A model for the QCD vacuum based on a domainlike structured background gluon field with definite duality attributed to the domains has been shown elsewhere to give confinement of static quarks, a reasonable value for the topological susceptibility and indications that chiral symmetry is spontaneously broken. In this paper we study in detail the eigenvalue problem for the Dirac operator in such a gluon mean field. A study of the local chirality parameter shows that the lowest nonzero eigenmodes possess a definite mean chirality correlated with the duality of a given domain. A probability distribution of the local chirality qualitatively reproduces histograms seen in lattice simulations.

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