Mathematical derivation of chiral anomaly in lattice gauge theory with Wilson's action

Tetsuya Hattori, Hiroshi Watanabe

Research output: Contribution to journalArticle

Abstract

Chiral U(1) anomaly is derived with mathematical rigor for a Euclidean fermion coupled to a smooth external U(1) gauge field on an even dimensional torus as a continuum limit of lattice regularized fermion field theory with the Wilson term in the action. The present work rigorously proves for the first time that the Wilson term correctly reproduces the chiral anomaly.

Original languageEnglish
Pages (from-to)4449-4475
Number of pages27
JournalJournal of Mathematical Physics
Volume39
Issue number9
Publication statusPublished - 1998 Sep
Externally publishedYes

Fingerprint

Lattice Gauge Theory
Fermions
Anomaly
gauge theory
derivation
fermions
anomalies
Continuum Limit
Gauge Field
Term
Field Theory
Euclidean
Torus
continuums

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

Mathematical derivation of chiral anomaly in lattice gauge theory with Wilson's action. / Hattori, Tetsuya; Watanabe, Hiroshi.

In: Journal of Mathematical Physics, Vol. 39, No. 9, 09.1998, p. 4449-4475.

Research output: Contribution to journalArticle

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