A construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance

dc.creatorKadoh, Daisuke
dc.creatorKikukawa, Yoshio
dc.date2007-09-24
dc.date2008-05-29
dc.date.accessioned2026-07-07T11:37:26Z
dc.date.available2026-07-07T11:37:26Z
dc.descriptionWe present a gauge-invariant and non-perturbative construction of the Glashow-Weinberg-Salam model on the lattice, based on the lattice Dirac operator satisfying the Ginsparg-Wilson relation. Our construction covers all SU(2) topological sectors with vanishing U(1) magnetic flux and would be usable for a description of the baryon number non-conservation. In infinite volume, it provides a gauge-invariant regularization of the electroweak theory to all orders of perturbation theory. First we formulate the reconstruction theorem which asserts that if there exists a set of local currents satisfying cetain properties, it is possible to reconstruct the fermion measure which depends smoothly on the gauge fields and fulfills the fundamental requirements such as locality, gauge-invariance and lattice symmetries. Then we give a closed formula of the local currents required for the reconstruction theorem.
dc.description32 pages, uses JHEP3.cls, the version to appear in JHEP
dc.identifierhttps://arxiv.org/abs/0709.3658
dc.identifierhttp://arxiv.org/abs/0709.3658
dc.identifierJHEP0805:095,2008
dc.identifierdoi:10.1088/1126-6708/2008/05/095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199203
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleA construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance
dc.typetext

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