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On the topological charge of S O (2) gauged Skyrmions in 2+1 and 3+1 dimensions

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dc.contributor.authorNavarro Lerida, Francisco
dc.contributor.authorRadu, Eugen
dc.contributor.authorTchrakian, D. H.
dc.date.accessioned2023-06-17T13:25:45Z
dc.date.available2023-06-17T13:25:45Z
dc.date.issued2019-04-10
dc.description© 2019 The Author(s). Published by Elsevier B.V. We are very grateful to V. A. Rubakov for valuable and penetrating comments. E. R. gratefully acknowledges the support of DIAS. The work of E. R. was also partially supported by the Portuguese national funding agency for science, research and technology (FCT), within the Center for Research and Development in Mathematics and Applications (CIDMA), project UID/MAT/04106/2019, and also by the H2020-MSCA-RISE-2015 Grant No. StronGrHEP-690904, 11This phenomenon is observed also in (gauged) Higgs theories, where the Chern-Simons (CS) dynamics is supplied by Higgs-CS[14](HCS) terms, reported in Refs.[27,28]. the H2020-MSCA-RISE-2017 Grant No. FunFiCO-777740, and by the CIDMA project UID/MAT/04106/2013. The numerical computations in Section3were performed at the BLAFIS cluster in Aveiro University.
dc.description.abstractThe question of the dependence of the topological charge q of a gauged Skyrmion, on the gauge field, is studied quantitatively. Two examples, both gauged with SO (2) are studied and contrasted: i) The O (3) model in 2 + 1 dimensions, and ii) The O(4) model in 3 + 1dimensions. In case i), where the (usual) Chern-Simons (CS) term is present, the value of q changes sign, going through zero. This evolution is tracked by a parameter characterising the solutions in the given theory. In case ii), in which dimensions no CS density is available, the evolution of q is not observed. (C) 2019 The Author(s). Published by Elsevier B.V.
dc.description.departmentDepto. de Estructura de la Materia, Física Térmica y Electrónica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUnión Europea. H2020
dc.description.sponsorshipPortuguese national funding agency for science, research and technology (FCT) within the Center for Research and Development in Mathematics and Applications (CIDMA)
dc.description.sponsorshipDIAS
dc.description.sponsorshipCIDMA project
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/56313
dc.identifier.doi10.1016/j.physletb.2019.02.011
dc.identifier.issn0370-2693
dc.identifier.officialurlhttp://dx.doi.org/10.1016/j.physletb.2019.02.011
dc.identifier.relatedurlhttps://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/13457
dc.journal.titlePhysics letters B
dc.language.isoeng
dc.page.final292
dc.page.initial287
dc.publisherElsevier Science BV
dc.relation.projectIDStronGrHEP (690904); FunFiCO (777740)
dc.relation.projectID(UID/MAT/04106/2019; UID/MAT/04106/2013)
dc.rights.accessRightsopen access
dc.subject.cdu539.1
dc.subject.keywordBogomolnyi solitons
dc.subject.keywordSigma-model
dc.subject.ucmFísica nuclear
dc.subject.unesco2207 Física Atómica y Nuclear
dc.titleOn the topological charge of S O (2) gauged Skyrmions in 2+1 and 3+1 dimensions
dc.typejournal article
dc.volume.number791
dspace.entity.typePublication
relation.isAuthorOfPublication48bd59fc-6ed5-48f0-a1f9-031606622729
relation.isAuthorOfPublication.latestForDiscovery48bd59fc-6ed5-48f0-a1f9-031606622729

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