Gauge invariant effective action in Abelian chiral gauge theory on the lattice

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

Lüscher's recent formulation of Abelian chiral gauge theories on the lattice, in the vacuum (or perturbative) sector in infinite volume, is reinterpreted in terms of the lattice covariant regularization. The gauge invariance of the effective action and the integrability of the gauge current in anomaly-free cases become transparent. The real part of the effective action is simply one-hall that of the Dirac fermion and, when the Dirac operator behaves properly in the continuum limit, the imaginary part in this limit reproduces the η-invariant.

Original languageEnglish
Pages (from-to)1147-1154
Number of pages8
JournalProgress of Theoretical Physics
Volume101
Issue number5
DOIs
Publication statusPublished - May 1999
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Fingerprint Dive into the research topics of 'Gauge invariant effective action in Abelian chiral gauge theory on the lattice'. Together they form a unique fingerprint.

  • Cite this