Chirality of quark modes
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(Published version)
Date
2002
Authors
Kalloniatis, Alexander Constantine
Nedelko, Sergei N.
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Journal article
Citation
Physical Review D, 2002; 66(7):074020
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Abstract
A model for the QCD vacuum based on a domainlike structured background gluon field with a 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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School of Chemistry and Physics : Physics and Mathematical Physics
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© 2002 American Physical Society