Domain Walls with Non-Abelian Clouds

dc.creatorEto, Minoru
dc.creatorFujimori, Toshiaki
dc.creatorNitta, Muneto
dc.creatorOhashi, Keisuke
dc.creatorSakai, Norisuke
dc.date2008-02-21
dc.date2008-03-02
dc.date.accessioned2026-07-07T11:40:23Z
dc.date.available2026-07-07T11:40:23Z
dc.descriptionDomain walls in U(N) gauge theories, coupled to Higgs scalar fields with degenerate masses, are shown to possess normalizable non-Abelian Nambu-Goldstone(NG) modes, which we call non-Abelian clouds. We construct the moduli space metric and its Kahler potential of the effective field theory on the domain walls, by focusing on two models: a U(1) gauge theory with several charged Higgs fields, and a U(N) gauge theory with 2N Higgs fields in the fundamental representation. We find that non-Abelian clouds spread between two domain walls and that their rotation induces long-range repulsive force, in contrast to a U(1) mode in models with fully non-degenerate masses which gives short-range force. We also construct a bound state of dyonic domain walls by introducing the imaginary part of the Higgs masses. In the latter model we find that when all walls coincide SU(N)_L x SU(N)_R x U(1) symmetry is broken down to SU(N)_V, and U(N)_A NG modes and the same number of quasi-NG modes are localized on the wall. When n walls separate, off diagonal elements of U(n) NG modes have wave functions spreading between two separated walls (non-Abelian clouds), whereas some quasi-NG modes turn to NG bosons as a result of further symmetry breaking U(n)_V --> U(1)_V^n. In the case of 4+1 dimensional bulk, we can dualize the effective theory to the supersymmetric Freedman-Townsend model of non-Abelian 2-form fields.
dc.description43 pages, 18 figures, v2: minor changes
dc.identifierhttps://arxiv.org/abs/0802.3135
dc.identifierhttp://arxiv.org/abs/0802.3135
dc.identifierPhys.Rev.D77:125008,2008
dc.identifierdoi:10.1103/PhysRevD.77.125008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200243
dc.subjectHigh Energy Physics - Theory
dc.titleDomain Walls with Non-Abelian Clouds
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