### 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 language | English |
---|---|

Pages (from-to) | 763-765 |

Number of pages | 3 |

Journal | Nuclear Physics B - Proceedings Supplements |

Volume | 106-107 |

DOIs | |

Publication status | Published - Mar 1 2002 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

*Nuclear Physics B - Proceedings Supplements*,

*106-107*, 763-765. https://doi.org/10.1016/S0920-5632(01)01837-0

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

Research output: Contribution to journal › Article

*Nuclear Physics B - Proceedings Supplements*, vol. 106-107, pp. 763-765. https://doi.org/10.1016/S0920-5632(01)01837-0

}

TY - JOUR

T1 - On the lattice construction of electroweak gauge theory

AU - Kikukawa, Yoshio

AU - Nakayama, Yoichi

AU - Suzuki, Hiroshi

PY - 2002/3/1

Y1 - 2002/3/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0036524988&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036524988&partnerID=8YFLogxK

U2 - 10.1016/S0920-5632(01)01837-0

DO - 10.1016/S0920-5632(01)01837-0

M3 - Article

AN - SCOPUS:0036524988

VL - 106-107

SP - 763

EP - 765

JO - Nuclear and Particle Physics Proceedings

JF - Nuclear and Particle Physics Proceedings

SN - 2405-6014

ER -