Improved measure of local chirality

Terrence Draper, Andrei Alexandru, Ying Chen, Shao Jing Dong, Ivan Horváth, Frank Lee, Nilmani Mathur, Harry B. Thacker, Sonali Tamhankar, Jianbo Zhang

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


It is popular to probe the structure of the QCD vacuum indirectly by studying individual fermion eigenmodes, because this provides a natural way to filter out UV fluctuations. The double-peaking in the distribution of the local chiral orientation parameter (X) has been offered as evidence, by some, in support of a particular model of the vacuum. Here we caution that the X-distribution peaking varies significantly with various versions of the definition of X. Furthermore, each distribution varies little from that resulting from a random reshuffling of the left-handed (and independently the right-handed) fields, which destroys any QCD-induced left-right correlation; that is, the double-peaking is mostly a phase-space effect. We propose a new universal definition of the X parameter whose distribution is uniform for randomly reshuffled fields. Any deviations from uniformity for actual data can then be directly attributable to QCD-induced dynamics. We find that the familiar double peak disappears.

Original languageEnglish
Pages (from-to)623-625
Number of pages3
JournalNuclear Physics B - Proceedings Supplements
Issue numberSPEC. ISS.
StatePublished - Mar 2005

Bibliographical note

Funding Information:
∗Presented by T. Draper at Lattice 2004. †This work is supported in part by the U.S. Department of Energy under grant numbers DE-FG05-84ER40154 and DE-FG02-02ER45967.

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics


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