Exact static soliton solutions of (3+1)-dimensional integrable theory with nonzero hopf numbers

Detalhes bibliográficos
Autor(a) principal: Aratyn, H.
Data de Publicação: 1999
Outros Autores: Ferreira, L. A. [UNESP], Zimerman, A. H. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevLett.83.1723
http://hdl.handle.net/11449/223826
Resumo: In this paper, we explicitly construct an infinite number of Hopfions (static, soliton solutions with nonzero Hopf topological charges) within the recently proposed (3+1)-dimensional, integrable, and relativistically invariant field theory. Two integers label the family of Hopfions we have found. Their product is equal to the Hopf charge which provides a lower bound to the soliton’s finite energy. The Hopfions are explicitly constructed in terms of the toroidal coordinates and shown to have a form of linked closed vortices. © 1999 The American Physical Society.
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spelling Exact static soliton solutions of (3+1)-dimensional integrable theory with nonzero hopf numbersIn this paper, we explicitly construct an infinite number of Hopfions (static, soliton solutions with nonzero Hopf topological charges) within the recently proposed (3+1)-dimensional, integrable, and relativistically invariant field theory. Two integers label the family of Hopfions we have found. Their product is equal to the Hopf charge which provides a lower bound to the soliton’s finite energy. The Hopfions are explicitly constructed in terms of the toroidal coordinates and shown to have a form of linked closed vortices. © 1999 The American Physical Society.Department of Physics University of Illinois at Chicago, 845 W. Taylor Street, Chicago, IL, 60607-7059Instituto de Física Teórica–IFT/UNESP, Rua Pamplona 145, São Paulo–SP, 01405-900Instituto de Física Teórica–IFT/UNESP, Rua Pamplona 145, São Paulo–SP, 01405-900University of Illinois at ChicagoUniversidade Estadual Paulista (UNESP)Aratyn, H.Ferreira, L. A. [UNESP]Zimerman, A. H. [UNESP]2022-04-28T19:53:18Z2022-04-28T19:53:18Z1999-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1723-1726http://dx.doi.org/10.1103/PhysRevLett.83.1723Physical Review Letters, v. 83, n. 9, p. 1723-1726, 1999.1079-71140031-9007http://hdl.handle.net/11449/22382610.1103/PhysRevLett.83.17232-s2.0-0001058465Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Lettersinfo:eu-repo/semantics/openAccess2022-04-28T19:53:18Zoai:repositorio.unesp.br:11449/223826Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:50:54.072936Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Exact static soliton solutions of (3+1)-dimensional integrable theory with nonzero hopf numbers
title Exact static soliton solutions of (3+1)-dimensional integrable theory with nonzero hopf numbers
spellingShingle Exact static soliton solutions of (3+1)-dimensional integrable theory with nonzero hopf numbers
Aratyn, H.
title_short Exact static soliton solutions of (3+1)-dimensional integrable theory with nonzero hopf numbers
title_full Exact static soliton solutions of (3+1)-dimensional integrable theory with nonzero hopf numbers
title_fullStr Exact static soliton solutions of (3+1)-dimensional integrable theory with nonzero hopf numbers
title_full_unstemmed Exact static soliton solutions of (3+1)-dimensional integrable theory with nonzero hopf numbers
title_sort Exact static soliton solutions of (3+1)-dimensional integrable theory with nonzero hopf numbers
author Aratyn, H.
author_facet Aratyn, H.
Ferreira, L. A. [UNESP]
Zimerman, A. H. [UNESP]
author_role author
author2 Ferreira, L. A. [UNESP]
Zimerman, A. H. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv University of Illinois at Chicago
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Aratyn, H.
Ferreira, L. A. [UNESP]
Zimerman, A. H. [UNESP]
description In this paper, we explicitly construct an infinite number of Hopfions (static, soliton solutions with nonzero Hopf topological charges) within the recently proposed (3+1)-dimensional, integrable, and relativistically invariant field theory. Two integers label the family of Hopfions we have found. Their product is equal to the Hopf charge which provides a lower bound to the soliton’s finite energy. The Hopfions are explicitly constructed in terms of the toroidal coordinates and shown to have a form of linked closed vortices. © 1999 The American Physical Society.
publishDate 1999
dc.date.none.fl_str_mv 1999-01-01
2022-04-28T19:53:18Z
2022-04-28T19:53:18Z
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://dx.doi.org/10.1103/PhysRevLett.83.1723
Physical Review Letters, v. 83, n. 9, p. 1723-1726, 1999.
1079-7114
0031-9007
http://hdl.handle.net/11449/223826
10.1103/PhysRevLett.83.1723
2-s2.0-0001058465
url http://dx.doi.org/10.1103/PhysRevLett.83.1723
http://hdl.handle.net/11449/223826
identifier_str_mv Physical Review Letters, v. 83, n. 9, p. 1723-1726, 1999.
1079-7114
0031-9007
10.1103/PhysRevLett.83.1723
2-s2.0-0001058465
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review Letters
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1723-1726
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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