Integrability in Theories with Local U(1) Gauge Symmetry

dc.creatorAdam, C.
dc.creatorSanchez-Guillen, J.
dc.creatorWereszczynski, A.
dc.date2007-02-13
dc.date2007-07-03
dc.date.accessioned2026-07-07T11:03:13Z
dc.date.available2026-07-07T11:03:13Z
dc.descriptionUsing a recently developed method, based on a generalization of the zero curvature representation of Zakharov and Shabat, we study the integrability structure in the Abelian Higgs model. It is shown that the model contains integrable sectors, where integrability is understood as the existence of infinitely many conserved currents. In particular, a gauge invariant description of the weak and strong integrable sectors is provided. The pertinent integrability conditions are given by a U(1) generalization of the standard strong and weak constraints for models with two dimensional target space. The Bogomolny sector is discussed, as well, and we find that each Bogomolny configuration supports infinitely many conserved currents. Finally, other models with U(1) gauge symmetry are investigated.
dc.descriptioncorrected typos, version accepted in J. Phys. A
dc.identifierhttps://arxiv.org/abs/hep-th/0702100
dc.identifierhttp://arxiv.org/abs/hep-th/0702100
dc.identifierJ.Phys.A40:9079-9088,2007
dc.identifierdoi:10.1088/1751-8113/40/30/027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188517
dc.subjectHigh Energy Physics - Theory
dc.titleIntegrability in Theories with Local U(1) Gauge Symmetry
dc.typetext

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