Local Chirality of Low-Lying Dirac Eigenmodes and the Instanton Liquid Model

dc.creatorHorvath, I.
dc.creatorDong, S. J.
dc.creatorDraper, T.
dc.creatorIsgur, N.
dc.creatorLee, F. X.
dc.creatorLiu, K. F.
dc.creatorMcCune, J.
dc.creatorThacker, H. B.
dc.creatorZhang, J. B.
dc.date2002-01-07
dc.date2002-07-08
dc.date.accessioned2026-07-07T11:30:32Z
dc.date.available2026-07-07T11:30:32Z
dc.descriptionThe reasons for using low-lying Dirac eigenmodes to probe the local structure of topological charge fluctuations in QCD are discussed, and it is pointed out that the qualitative double-peaked behavior of the local chiral orientation probability distribution in these modes is necessary, but not sufficient for dominance of instanton-like fluctuations. The results with overlap Dirac operator in Wilson gauge backgrounds at lattice spacings ranging from a~0.04 fm to a~0.12 fm are reported, and it is found that the size and density of local structures responsible for double-peaking of the distribution are in disagreement with the assumptions of the Instanton Liquid Model. More generally, our results suggest that vacuum fluctuations of topological charge are not effectively dominated by locally quantized (integer-valued) lumps in QCD.
dc.description29 pages, 13 figures; v2: minor improvements in presentation, results and conclusions unchanged, version to appear in PRD
dc.identifierhttps://arxiv.org/abs/hep-lat/0201008
dc.identifierhttp://arxiv.org/abs/hep-lat/0201008
dc.identifierPhys.Rev.D66:034501,2002
dc.identifierdoi:10.1103/PhysRevD.66.034501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197033
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.subjectNuclear Theory
dc.titleLocal Chirality of Low-Lying Dirac Eigenmodes and the Instanton Liquid Model
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