Local chirality of low-lying Dirac eigenmodes and the instanton liquid model

I. Horváth, S. J. Dong, T. Draper, N. Isgur, F. X. Lee, F. X. Lee, K. F. Liu, J. McCune, H. B. Thacker, J. B. Zhang

Research output: Contribution to journalArticlepeer-review

52 Scopus citations


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 instantonlike fluctuations. The results with the 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.

Original languageEnglish
Article number034501
Pages (from-to)345011-3450115
Number of pages3105105
JournalPhysical review D
Issue number3
StatePublished - Aug 1 2002

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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