On the lattice construction of electroweak gauge theory

Yoshio Kikukawa, Yoichi Nakayama, Hiroshi Suzuki

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Based on the Ginsparg-Wilson relation, a gauge invariant formulation of electroweak SU(2) × U(1) gauge theory on the lattice is considered. If the hypercharge gauge coupling is turned off in the vacuum sector of the U(1) gauge fields, the theory consists of four left-handed SU(2) doublets and it is possible, as in vector-like theories, to make the fermion measure defined globally in all topological sectors of SU(2). We then try to incorporate U(1) gauge field, following Lüscher's reconstruction theorem. The global integrability condition is proved for "gauge loops" in the space of the U(1) gauge fields with arbitrary SU(2) gauge field fixed in the background. For "non-gauge loops", however, the proof is given so far only for the classical SU(2) instanton backgrounds.

Original languageEnglish
Pages (from-to)763-765
Number of pages3
JournalNuclear Physics B - Proceedings Supplements
Volume106-107
DOIs
Publication statusPublished - Mar 1 2002
Externally publishedYes

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gauge theory
sectors
instantons
theorems
fermions
formulations
vacuum

All Science Journal Classification (ASJC) codes

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

Cite this

On the lattice construction of electroweak gauge theory. / Kikukawa, Yoshio; Nakayama, Yoichi; Suzuki, Hiroshi.

In: Nuclear Physics B - Proceedings Supplements, Vol. 106-107, 01.03.2002, p. 763-765.

Research output: Contribution to journalArticle

Kikukawa, Yoshio ; Nakayama, Yoichi ; Suzuki, Hiroshi. / On the lattice construction of electroweak gauge theory. In: Nuclear Physics B - Proceedings Supplements. 2002 ; Vol. 106-107. pp. 763-765.
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