Manifestly gauge covariant treatment of lattice chiral fermions. II

Kiyoshi Okuyama, Hiroshi Suzuki

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We propose a formulation of chiral fermions on a lattice, on the basis of a lattice extension of the covariant regularization scheme in continuum field theory. The species doublers do not emerge. The real part of the effective action is just one-half of that of Dirac-Wilson fermion and is always gauge invariant even with a finite lattice spacing. The gauge invariance of the imaginary part, on the other hand, sets a severe constraint that is a lattice analog of the gauge anomaly-free condition. For real gauge representations, the imaginary part identically vanishes and the gauge invariance becomes exact.

Original languageEnglish
Pages (from-to)6829-6834
Number of pages6
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume56
Issue number11
DOIs
Publication statusPublished - Jan 1 1997

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fermions
gauge invariance
spacing
analogs
anomalies
continuums
formulations

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Manifestly gauge covariant treatment of lattice chiral fermions. II. / Okuyama, Kiyoshi; Suzuki, Hiroshi.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 56, No. 11, 01.01.1997, p. 6829-6834.

Research output: Contribution to journalArticle

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