Index theorem in spontaneously symmetry-broken gauge theories on a fuzzy 2-sphere

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dc.creatorAoki, Hajime
dc.creatorHirayama, Yoshiko
dc.creatorIso, Satoshi
dc.date2008-04-03
dc.date2008-08-07
dc.date.accessioned2026-07-07T11:49:35Z
dc.date.available2026-07-07T11:49:35Z
dc.descriptionWe consider a gauge-Higgs system on a fuzzy 2-sphere and study the topological structure of gauge configurations, when the U(2) gauge symmetry is spontaneously broken to U(1) times U(1) by the vev of the Higgs field. The topology is classified by the index of the Dirac operator satisfying the Ginsparg-Wilson relation, which turns out to be a noncommutative analog of the topological charge introduced by 't Hooft. It can be rewritten as a form whose commutative limit becomes the winding number of the Higgs field. We also study conditions which assure the validity of the formulation, and give a generalization of the admissibility condition. Finally we explicitly calculate the topological charge of a one-parameter family of configurations.
dc.description37 pages, 3 figures, typo corrected, version published in Physical Review D
dc.identifierhttps://arxiv.org/abs/0804.0568
dc.identifierhttp://arxiv.org/abs/0804.0568
dc.identifierPhys.Rev.D78:025028,2008
dc.identifierdoi:10.1103/PhysRevD.78.025028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203285
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.titleIndex theorem in spontaneously symmetry-broken gauge theories on a fuzzy 2-sphere
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