Universal formula for the flavor non-singlet axial-vector current from the gradient flow

Tasuku Endo, Kenji Hieda, Daiki Miura, Hiroshi Suzuki

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

By employing the gradient/Wilson flow, we derive a universal formula that expresses a correctly normalized flavor non-singlet axial-vector current of quarks. The formula is universal in the sense that it holds independently of regularization and especially holds with lattice regularization. It is also confirmed that, in the lowest non-trivial order of perturbation theory, the triangle diagram containing the formula and two flavor non-singlet vector currents possesses non-local structure that is compatible with the triangle anomaly.

Original languageEnglish
Article number053B03
JournalProgress of Theoretical and Experimental Physics
Volume2015
Issue number5
DOIs
Publication statusPublished - Jan 1 2015

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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