Vórtices BPSS topológicos e não topológicos em teorias de calibre abelianas

Detalhes bibliográficos
Ano de defesa: 2021
Autor(a) principal: DIAS, Marcos Lima lattes
Orientador(a): SIFUENTES, Rodolfo Alván Casana lattes
Banca de defesa: SIFUENTES, Rodolfo Alván Casana lattes, SILVA, Edilberto Oliveira lattes, FERREIRA JÚNIOR, Manoel Messias lattes, ALMEIDA, Carlos Alberto Santos de lattes, BAZEIA FILHO, Dionísio lattes
Tipo de documento: Tese
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal do Maranhão
Programa de Pós-Graduação: PROGRAMA DE PÓS-GRADUAÇÃO EM FÍSICA/CCET
Departamento: DEPARTAMENTO DE FÍSICA/CCET
País: Brasil
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: https://riufma.ufma.br/handle/tede/4176
Resumo: The Maxwell-Higgs theory indicates BPS (self-dual) magnetic vortices are stable configu rations found at the phase transition limit between the type I and type II superconductors. On the other hand, magnetic vortices possessing an electric field are described by the Chern-Simons-Higgs Electrodynamics, with applications in the physics of anions and Quantum Hall Effect. In this thesis, we investigate new structures of self-dual vortices in alternative models. We find out topological solutions in a scenario where a complex projective field CP (2) interacts with an Abelian gauge field. Besides, we show this last model can also support nontopological vortex either in the presence of a dielectric function depending on the complex field or when the Chern-Simons action controls the gauge field dynamics. Moreover, we suggest the formation of new topological vortices with and without electric field, which are described by the gauged O (3) sigma model in the presence of dielectric media engendered by introducing a real scalar field responsible for generating the effects of the internal structures.
id UFMA-2_4da66be8cd181f9669ef8bc7db456ade
oai_identifier_str oai:riufma.ufma.br:tede/4176
network_acronym_str UFMA-2
network_name_str Repositório Institucional da UFMA
repository_id_str
spelling 2022-10-15T02:58:58Z2026-09-19T16:22:12Z2021-09-17DIAS, Marcos Lima. Vórtices BPSS topológicos e não topológicos em teorias de calibre abelianas. 2021. 188 f. Tese (Programa de Pós-Graduação em Física/CCET) - Universidade Federal do Maranhão, São Luís, 2021.https://riufma.ufma.br/handle/tede/4176The Maxwell-Higgs theory indicates BPS (self-dual) magnetic vortices are stable configu rations found at the phase transition limit between the type I and type II superconductors. On the other hand, magnetic vortices possessing an electric field are described by the Chern-Simons-Higgs Electrodynamics, with applications in the physics of anions and Quantum Hall Effect. In this thesis, we investigate new structures of self-dual vortices in alternative models. We find out topological solutions in a scenario where a complex projective field CP (2) interacts with an Abelian gauge field. Besides, we show this last model can also support nontopological vortex either in the presence of a dielectric function depending on the complex field or when the Chern-Simons action controls the gauge field dynamics. Moreover, we suggest the formation of new topological vortices with and without electric field, which are described by the gauged O (3) sigma model in the presence of dielectric media engendered by introducing a real scalar field responsible for generating the effects of the internal structures.A teoria de Maxwell-Higgs indica que vórtices magnéticos BPSs (autoduais) são configura ções estáveis encontradas no limite da transição de fase entre os supercondutores tipo I e tipo II. Tais sólitons possuindo também campo elétrico foram estudados inicialmente por meio da Eletrodinâmica de Chern-Simons-Higgs, cuja aplicação tange a física de ânions e do Efeito Hall Quântico. Nesta tese, investigamos novas estruturas de vórtices autoduais em modelos alternativos. Apontamos a existência de soluções topológicas em um cenário onde um campo complexo projetivo CP (2) é acoplado ao campo de calibre abeliano; em adição, mostramos que esta última teoria é capaz de suportar configurações BPSs não topológicas quando uma função dielétrica dependente do campo complexo é considerada, ou quando a dinâmica do campo de calibre é regida pela ação de Chern-Simons. Além disso, sugerimos a formação de novos vórtices autoduais com e sem campo elétrico no modelo sigma O (3) calibrado e na presença de meios dielétricos, introduzindo um campo escalar real responsável por descrever os efeitos das estruturas internas.CAPESCNPqFAPEMAapplication/pdfporUniversidade Federal do MaranhãoPROGRAMA DE PÓS-GRADUAÇÃO EM FÍSICA/CCETUFMABrasilDEPARTAMENTO DE FÍSICA/CCETvórtices topológicos e não topológicos;formalismo BPS;teorias de calibre;topological and nontopological vortices;BPS formalism;gauge theories.FísicaVórtices BPSS topológicos e não topológicos em teorias de calibre abelianasTopological and non-topological BPSS vortices in abelian gauge theoriesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisSIFUENTES, Rodolfo Alván Casanahttp://lattes.cnpq.br/6508618435773438SIFUENTES, Rodolfo Alván Casanahttp://lattes.cnpq.br/6508618435773438SILVA, Edilberto Oliveirahttp://lattes.cnpq.br/3258989322547560FERREIRA JÚNIOR, Manoel Messiashttp://lattes.cnpq.br/5263880569990712ALMEIDA, Carlos Alberto Santos dehttp://lattes.cnpq.br/4841596242259728BAZEIA FILHO, Dionísiohttp://lattes.cnpq.br/4482175736711280http://lattes.cnpq.br/6493662934042358DIAS, Marcos Limainfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFMAinstname:Universidade Federal do Maranhão (UFMA)instacron:UFMALICENSElicense.txttext/plain; charset=utf-82393https://riufma.ufma.br/bitstreams/8bc29b21-632d-4820-b97c-09913c2f2180/downloadb8cec2d454e25b568428ee63784602fdMD55falseAnonymousREADORIGINALMARCOSLIMA.pdfTese de Doutoradoapplication/pdf5288429https://riufma.ufma.br/bitstreams/c405a964-7481-4d07-9419-c9476fa0df11/download6ceb7a1d46e428d8be918f0110c3da0cMD52trueAnonymousREADTEXTMARCOSLIMA.pdf.txtWritten by FormatFilter org.dspace.app.mediafilter.TikaTextExtractionFilter on 2026-09-24T01:59:31Z (GMT).Extracted texttext/plain104276https://riufma.ufma.br/bitstreams/099af3a8-f04e-4a26-bb59-0128ad42b133/download7e3a3e034941ab4028000e2f2e591eedMD53falseAnonymousREADTHUMBNAILMARCOSLIMA.pdf.jpgWritten by FormatFilter org.dspace.app.mediafilter.PDFBoxThumbnail on 2026-09-24T01:59:31Z (GMT).Generated Thumbnailimage/jpeg3528https://riufma.ufma.br/bitstreams/69a1d8ee-4440-44ff-b66c-1cbadb6e5e6a/download424894c7da4a105d998ea81304146418MD54falseAnonymousREADtede/41762026-10-16T22:44:22.235967Zopen.accessoai:riufma.ufma.br:tede/4176https://riufma.ufma.brRepositório InstitucionalPUBhttps://riufma.ufma.brrepositorio@ufma.bropendoar:2026-10-16T22:44:22Repositório Institucional da UFMA - Universidade Federal do Maranhão (UFMA)falseTElDRU7Dh0EgREUgRElTVFJJQlVJw4fDg08gTsODTy1FWENMVVNJVkEKCkNvbSBhIGFwcmVzZW50YcOnw6NvIGRlc3RhIGxpY2Vuw6dhLCBvIChzKSBhdXRvciAoZXMpIG91IG8gdGl0dWxhciBkb3MgZGlyZWl0b3MgZGUgYXV0b3IgY29uY2VkZSDDoCBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkbyBNYXJhbmjDo28gKFVGTUEpIG8gZGlyZWl0byBuw6NvLWV4Y2x1c2l2byBkZSByZXByb2R1emlyLCB0cmFkdXppciAoY29uZm9ybWUgZGVmaW5pZG8gYWJhaXhvKSBlL291IGRpc3RyaWJ1aXIgbyB0cmFiYWxobyAoaW5jbHVpbmRvIG8gcmVzdW1vKSBwb3IgdG9kbyBvIG11bmRvIG5vIGZvcm1hdG8gaW1wcmVzc28gZSBlbGV0csO0bmljbyBlIGVtIHF1YWxxdWVyIG1laW8uIFNlbmRvIGFzc2ltOgoKTyBhdXRvciBkZWNsYXJhIHF1ZToKCmEpICBvIHRyYWJhbGhvIMOpIG9yaWdpbmFsIGUgcXVlIMOpIG8gdGl0dWxhciBkb3MgZGlyZWl0b3MgYXV0b3JhaXMgZGVzdGEgb2JyYSwgYXV0b3JpemFuZG8sIGRlIGFjb3JkbyBjb20gYSBMZWkgbsK6Ljk2MTAvOTgsIHF1ZSBlc3RhIHNlamEgZGlzcG9uaWJpbGl6YWRhIHBlbGEgVW5pdmVyc2lkYWRlIEZlZGVyYWwgZG8gTWFyYW5ow6NvIChVRk1BKSwgZ3JhdHVpdGFtZW50ZSwgbmEgcmVkZSBtdW5kaWFsIGRlIGNvbXB1dGFkb3JlcyAoSW50ZXJuZXQpLCBzZW0gcmVzc2FyY2ltZW50byBkb3MgZGlyZWl0b3MgYXV0b3JhaXMsIHBhcmEgZmlucyBkZSBsZWl0dXJhLCBpbXByZXNzw6NvIGUvb3UgZG93bmxvYWQsIGEgdMOtdHVsbyBkZSBkaXZ1bGdhw6fDo28gZGEgcHJvZHXDp8OjbyBjaWVudMOtZmljYSBlIHNlbSBmaW5zIGNvbWVyY2lhaXM7CgpiKSAgYSBVRk1BIHBvZGUsIHNlbSBhbHRlcmFyIG8gY29udGXDumRvLCB0cmFuc3BvciBvIHRyYWJhbGhvIHBhcmEgcXVhbHF1ZXIgbWVpbyBvdSBmb3JtYXRvIHBhcmEgZmlucyBkZSBwcmVzZXJ2YcOnw6NvLgoKYykgIGEgVUZNQSBwb2RlIG1hbnRlciBtYWlzIGRlIHVtYSBjw7NwaWEgcGFyYSBmaW5zIGRlIHNlZ3VyYW7Dp2EsIGJhY2stdXAgZSBwcmVzZXJ2YcOnw6NvLgoKZCkgIGVzdGUgdHJhYmFsaG8gw6kgb3JpZ2luYWwgZSBxdWUgdm9jw6ogdGVtIG8gcG9kZXIgZGUgY29uY2VkZXIgb3MgZGlyZWl0b3MgY29udGlkb3MgbmVzdGEgbGljZW7Dp2EuIFRhbWLDqW0gZGVjbGFyYSBxdWUgZXN0ZSBkZXDDs3NpdG8gbsOjbyBpbmZyaW5nZSBkaXJlaXRvcyBhdXRvcmFpcyBkZSBuaW5ndcOpbS4KCmUpICBjYXNvIG8gdHJhYmFsaG8gY29udGVuaGEgbWF0ZXJpYWwgcXVlIHZvY8OqIG7Do28gcG9zc3VpIGEgdGl0dWxhcmlkYWRlIGRvcyBkaXJlaXRvcyBhdXRvcmFpcywgcXVlIG9idGV2ZSBhIHBlcm1pc3PDo28gaXJyZXN0cml0YSBkbyBkZXRlbnRvciBkb3MgZGlyZWl0b3MgYXV0b3JhaXMgcGFyYSBjb25jZWRlciDDoCBVRk1BIG9zIGRpcmVpdG9zIGFwcmVzZW50YWRvcyBuZXN0YSBsaWNlbsOnYSwgZSBxdWUgZXNzZSBtYXRlcmlhbCBkZSBwcm9wcmllZGFkZSBkZSB0ZXJjZWlyb3MgZXN0w6EgY2xhcmFtZW50ZSBpZGVudGlmaWNhZG8gZSByZWNvbmhlY2lkbyBubyB0ZXh0byBvdSBubyBjb250ZcO6ZG8gZG8gdHJhYmFsaG8gb3JhIGRlcG9zaXRhZG8uCgpmKSAgY2FzbyBvIHRyYWJhbGhvIG9yYSBkZXBvc2l0YWRvIHRlbmhhIHNpZG8gcmVzdWx0YWRvIGRlIHVtIHBhdHJvY8OtbmlvIG91IGFwb2lvIGRlIHVtYSBhZ8OqbmNpYSBkZSBmb21lbnRvIG91IG91dHJvIG9yZ2FuaXNtbyBxdWUgbsOjbyBzZWphIGEgVUZNQSwgcXVlIHJlc3BlaXRvdSB0b2RvcyBlIHF1YWlzcXVlciBkaXJlaXRvcyBkZSByZXZpc8OjbyBjb21vIHRhbWLDqW0gYXMgZGVtYWlzIG9icmlnYcOnw7VlcyBleGlnaWRhcyBwb3IgY29udHJhdG8gb3UgYWNvcmRvLgoKZykgIGEgVUZNQSBzZSBjb21wcm9tZXRlIGEgaWRlbnRpZmljYXIgY2xhcmFtZW50ZSBvIHNldSBub21lIG91IG8ocykgbm9tZSAocykgZG8gKHMpIGRldGVudG9yIChlcykgZG9zIGRpcmVpdG9zIGF1dG9yYWlzIGRvIHRyYWJhbGhvIGUgbsOjbyBmYXLDoSBxdWFscXVlciBhbHRlcmHDp8OjbyBhbMOpbSBkYXF1ZWxhcyBjb25jZWRpZGFzIHBvciBlc3RhIGxpY2Vuw6dhLgoKaCkgIHRvZGFzIGFzIGFmaWxpYcOnw7VlcyBjb3Jwb3JhdGl2YXMgb3UgaW5zdGl0dWNpb25haXMgZSB0b2RhcyBhcyBmb250ZXMgZGUgYXBvaW8gZmluYW5jZWlybyBhbyB0cmFiYWxobyBlc3TDo28gZGV2aWRhbWVudGUgY2l0YWRhcyBvdSBtZW5jaW9uYWRhcyBlIGNlcnRpZmljYSBxdWUgbsOjbyBow6EgbmVuaHVtIGludGVyZXNzZSBjb21lcmNpYWwgb3UgYXNzb2NpYXRpdm8gcXVlIHJlcHJlc2VudGUgY29uZmxpdG8gZGUgaW50ZXJlc3NlIGVtIGNvbmV4w6NvIGNvbSBvIHRyYWJhbGhvIHN1Ym1ldGlkby4=
dc.title.por.fl_str_mv Vórtices BPSS topológicos e não topológicos em teorias de calibre abelianas
dc.title.alternative.eng.fl_str_mv Topological and non-topological BPSS vortices in abelian gauge theories
title Vórtices BPSS topológicos e não topológicos em teorias de calibre abelianas
spellingShingle Vórtices BPSS topológicos e não topológicos em teorias de calibre abelianas
DIAS, Marcos Lima
vórtices topológicos e não topológicos;
formalismo BPS;
teorias de calibre;
topological and nontopological vortices;
BPS formalism;
gauge theories.
Física
title_short Vórtices BPSS topológicos e não topológicos em teorias de calibre abelianas
title_full Vórtices BPSS topológicos e não topológicos em teorias de calibre abelianas
title_fullStr Vórtices BPSS topológicos e não topológicos em teorias de calibre abelianas
title_full_unstemmed Vórtices BPSS topológicos e não topológicos em teorias de calibre abelianas
title_sort Vórtices BPSS topológicos e não topológicos em teorias de calibre abelianas
author DIAS, Marcos Lima
author_facet DIAS, Marcos Lima
author_role author
dc.contributor.advisor1.fl_str_mv SIFUENTES, Rodolfo Alván Casana
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/6508618435773438
dc.contributor.referee1.fl_str_mv SIFUENTES, Rodolfo Alván Casana
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/6508618435773438
dc.contributor.referee2.fl_str_mv SILVA, Edilberto Oliveira
dc.contributor.referee2Lattes.fl_str_mv http://lattes.cnpq.br/3258989322547560
dc.contributor.referee3.fl_str_mv FERREIRA JÚNIOR, Manoel Messias
dc.contributor.referee3Lattes.fl_str_mv http://lattes.cnpq.br/5263880569990712
dc.contributor.referee4.fl_str_mv ALMEIDA, Carlos Alberto Santos de
dc.contributor.referee4Lattes.fl_str_mv http://lattes.cnpq.br/4841596242259728
dc.contributor.referee5.fl_str_mv BAZEIA FILHO, Dionísio
dc.contributor.referee5Lattes.fl_str_mv http://lattes.cnpq.br/4482175736711280
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/6493662934042358
dc.contributor.author.fl_str_mv DIAS, Marcos Lima
contributor_str_mv SIFUENTES, Rodolfo Alván Casana
SIFUENTES, Rodolfo Alván Casana
SILVA, Edilberto Oliveira
FERREIRA JÚNIOR, Manoel Messias
ALMEIDA, Carlos Alberto Santos de
BAZEIA FILHO, Dionísio
dc.subject.por.fl_str_mv vórtices topológicos e não topológicos;
formalismo BPS;
teorias de calibre;
topic vórtices topológicos e não topológicos;
formalismo BPS;
teorias de calibre;
topological and nontopological vortices;
BPS formalism;
gauge theories.
Física
dc.subject.eng.fl_str_mv topological and nontopological vortices;
BPS formalism;
gauge theories.
dc.subject.cnpq.fl_str_mv Física
description The Maxwell-Higgs theory indicates BPS (self-dual) magnetic vortices are stable configu rations found at the phase transition limit between the type I and type II superconductors. On the other hand, magnetic vortices possessing an electric field are described by the Chern-Simons-Higgs Electrodynamics, with applications in the physics of anions and Quantum Hall Effect. In this thesis, we investigate new structures of self-dual vortices in alternative models. We find out topological solutions in a scenario where a complex projective field CP (2) interacts with an Abelian gauge field. Besides, we show this last model can also support nontopological vortex either in the presence of a dielectric function depending on the complex field or when the Chern-Simons action controls the gauge field dynamics. Moreover, we suggest the formation of new topological vortices with and without electric field, which are described by the gauged O (3) sigma model in the presence of dielectric media engendered by introducing a real scalar field responsible for generating the effects of the internal structures.
publishDate 2021
dc.date.issued.fl_str_mv 2021-09-17
dc.date.accessioned.fl_str_mv 2022-10-15T02:58:58Z
2026-09-19T16:22:12Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv DIAS, Marcos Lima. Vórtices BPSS topológicos e não topológicos em teorias de calibre abelianas. 2021. 188 f. Tese (Programa de Pós-Graduação em Física/CCET) - Universidade Federal do Maranhão, São Luís, 2021.
dc.identifier.uri.fl_str_mv https://riufma.ufma.br/handle/tede/4176
identifier_str_mv DIAS, Marcos Lima. Vórtices BPSS topológicos e não topológicos em teorias de calibre abelianas. 2021. 188 f. Tese (Programa de Pós-Graduação em Física/CCET) - Universidade Federal do Maranhão, São Luís, 2021.
url https://riufma.ufma.br/handle/tede/4176
dc.language.iso.fl_str_mv por
language por
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 Universidade Federal do Maranhão
dc.publisher.program.fl_str_mv PROGRAMA DE PÓS-GRADUAÇÃO EM FÍSICA/CCET
dc.publisher.initials.fl_str_mv UFMA
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv DEPARTAMENTO DE FÍSICA/CCET
publisher.none.fl_str_mv Universidade Federal do Maranhão
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFMA
instname:Universidade Federal do Maranhão (UFMA)
instacron:UFMA
instname_str Universidade Federal do Maranhão (UFMA)
instacron_str UFMA
institution UFMA
reponame_str Repositório Institucional da UFMA
collection Repositório Institucional da UFMA
bitstream.url.fl_str_mv https://riufma.ufma.br/bitstreams/8bc29b21-632d-4820-b97c-09913c2f2180/download
https://riufma.ufma.br/bitstreams/c405a964-7481-4d07-9419-c9476fa0df11/download
https://riufma.ufma.br/bitstreams/099af3a8-f04e-4a26-bb59-0128ad42b133/download
https://riufma.ufma.br/bitstreams/69a1d8ee-4440-44ff-b66c-1cbadb6e5e6a/download
bitstream.checksum.fl_str_mv b8cec2d454e25b568428ee63784602fd
6ceb7a1d46e428d8be918f0110c3da0c
7e3a3e034941ab4028000e2f2e591eed
424894c7da4a105d998ea81304146418
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFMA - Universidade Federal do Maranhão (UFMA)
repository.mail.fl_str_mv repositorio@ufma.br
_version_ 1880921310571266048