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

Detalhes bibliográficos
Autor(a) principal: Navarro-Lerida, Francisco
Data de Publicação: 2019
Outros Autores: Radu, Eugen, Tchrakian, D. H.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/26024
Resumo: The 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+1 dimensions. 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.
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spelling On the topological charge of S O(2) gauged Skyrmions in 2 + 1 and 3 + 1 dimensionsInstantonsSkyrmionsSolitonsTopological chargeThe 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+1 dimensions. 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.Elsevier2019-05-10T15:23:21Z2019-04-10T00:00:00Z2019-04-10info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/26024eng0370-269310.1016/j.physletb.2019.02.011Navarro-Lerida, FranciscoRadu, EugenTchrakian, D. H.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:50:15Zoai:ria.ua.pt:10773/26024Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:59:04.122226Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv On the topological charge of S O(2) gauged Skyrmions in 2 + 1 and 3 + 1 dimensions
title On the topological charge of S O(2) gauged Skyrmions in 2 + 1 and 3 + 1 dimensions
spellingShingle On the topological charge of S O(2) gauged Skyrmions in 2 + 1 and 3 + 1 dimensions
Navarro-Lerida, Francisco
Instantons
Skyrmions
Solitons
Topological charge
title_short On the topological charge of S O(2) gauged Skyrmions in 2 + 1 and 3 + 1 dimensions
title_full On the topological charge of S O(2) gauged Skyrmions in 2 + 1 and 3 + 1 dimensions
title_fullStr On the topological charge of S O(2) gauged Skyrmions in 2 + 1 and 3 + 1 dimensions
title_full_unstemmed On the topological charge of S O(2) gauged Skyrmions in 2 + 1 and 3 + 1 dimensions
title_sort On the topological charge of S O(2) gauged Skyrmions in 2 + 1 and 3 + 1 dimensions
author Navarro-Lerida, Francisco
author_facet Navarro-Lerida, Francisco
Radu, Eugen
Tchrakian, D. H.
author_role author
author2 Radu, Eugen
Tchrakian, D. H.
author2_role author
author
dc.contributor.author.fl_str_mv Navarro-Lerida, Francisco
Radu, Eugen
Tchrakian, D. H.
dc.subject.por.fl_str_mv Instantons
Skyrmions
Solitons
Topological charge
topic Instantons
Skyrmions
Solitons
Topological charge
description The 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+1 dimensions. 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.
publishDate 2019
dc.date.none.fl_str_mv 2019-05-10T15:23:21Z
2019-04-10T00:00:00Z
2019-04-10
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/26024
url http://hdl.handle.net/10773/26024
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0370-2693
10.1016/j.physletb.2019.02.011
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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