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

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

2002-01-07

arxiv.org/abs/hep-lat/0201008v2

Phys.Rev.D66:034501,2002

Physics

High Energy Physics

High Energy Physics - Lattice

29 pages, 13 figures; v2: minor improvements in presentation, results and conclusions unchanged, version to appear in PRD

Scientific paper

10.1103/PhysRevD.66.034501

The 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.

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