Vórtices BPS na eletrodinâmica de Maxwell-Higgs com acoplamento nªo mínimo quebrando as simetrias de CPT e de Lorentz

Detalhes bibliográficos
Ano de defesa: 2014
Autor(a) principal: Mota, Alexsandro Lucena lattes
Orientador(a): CASANA SIFUENTES, Rodolfo Alván
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
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:
Defeitos topológicos
Violação das simetrias de Lorentz e CPT
Vórtices BPS
Palavras-chave em Inglês:
Topological Defects
Lorentz and CPT symmetry violation
BPS vortices
Área do conhecimento CNPq:
Física da Matéria Condensada
Link de acesso: http://tedebc.ufma.br:8080/jspui/handle/tede/1593
Resumo: The first studies on Lorentz-violating BPS vórtices were accomplished within the framework of the Standard Model Extension (SME). Specifically, it was studied the effects of the Lorentz violation in the vortex solutions presented in the Maxwell-Higgs electrodynamics. The formation of vórtices was also analyzed in (1+2)-dimensional models obtained by dimensional reduction of the SME Abelian sector. Among the several effects of the Lorentz violation we can mention: the control of both the amplitude as the width of the vortex, magnetic field reversion, magnetic flux quantization with explicit dependence on the Lorentz-violating coefficients. In this dissertation we study the existence of topological BPS vórtices in a Maxwell-Higgs model in which the covariant derivative is modified by the addition of a CPT-odd term, which breaks the CPT- and Lorentz symmetry due to the presence of a vectorial background. The interaction generating a set of self-dual or first-order equations includes a potential jφj4 and a derivative coupling j@iφj4. Although the self-dual equations are very different of those belonging to the usual MaxwellHiggs model, the new vortex solutions behave just like the Aharonov-Nielsen-Olesen ones, but the mass scale depends explicitly on the Lorentz-violating coefficient.
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spelling CASANA SIFUENTES, Rodolfo Alván814.273.363-34814.273.363-34http://lattes.cnpq.br/5036938931686294Mota, Alexsandro Lucena2017-06-07T18:48:31Z2014-09-30MOTA, Alexsandro Lucena. Vórtices BPS na eletrodinâmica de Maxwell-Higgs com acoplamento nªo mínimo quebrando as simetrias de CPT e de Lorentz. 2014. 67 f. Dissertação (Programa de Pós-Graduação em Física) - Universidade Federal do Maranhão, São Luís, 2014.http://tedebc.ufma.br:8080/jspui/handle/tede/1593The first studies on Lorentz-violating BPS vórtices were accomplished within the framework of the Standard Model Extension (SME). Specifically, it was studied the effects of the Lorentz violation in the vortex solutions presented in the Maxwell-Higgs electrodynamics. The formation of vórtices was also analyzed in (1+2)-dimensional models obtained by dimensional reduction of the SME Abelian sector. Among the several effects of the Lorentz violation we can mention: the control of both the amplitude as the width of the vortex, magnetic field reversion, magnetic flux quantization with explicit dependence on the Lorentz-violating coefficients. In this dissertation we study the existence of topological BPS vórtices in a Maxwell-Higgs model in which the covariant derivative is modified by the addition of a CPT-odd term, which breaks the CPT- and Lorentz symmetry due to the presence of a vectorial background. The interaction generating a set of self-dual or first-order equations includes a potential jφj4 and a derivative coupling j@iφj4. Although the self-dual equations are very different of those belonging to the usual MaxwellHiggs model, the new vortex solutions behave just like the Aharonov-Nielsen-Olesen ones, but the mass scale depends explicitly on the Lorentz-violating coefficient.Os primeiros estudos sobre vórtices BPS no contexto da violação da simetria de Lorentz foram realizadas no marco teórico do modelo padrão estendido (MPE). Especificamente, foram estudados os efeitos da quebra de Lorentz sobre os vórtices existentes na eletrodinâmica de Maxwell-Higgs. Também, foram estudadas a formação de vórtices em modelos (1+2)-dimensionais obtidos via redução dimensional do setor Abeliano do MPE. Entre os diversos efeitos da quebra de Lorentz podemos citar: controle da amplitude e largura do vórtice, inversão do campo magnético, fluxo magnético quantizado com dependência explícita nos coeficientes da quebra de Lorentz, etc. Nesta dissertação estudamos a existência de vórtices topológicos em um modelo de MaxwellHiggs cuja derivada covariante é modificada pela inclusão de um termo CPT-ímpar, o qual quebra a simetria de Lorentz devido a presença de um campo de fundo vetorial. A interação, que gera um sistema de equações auto-duais de primeira ordem, inclui um potencial jφj4 e um acoplamento derivativo j@iφj4. A pesar das equações auto-duais serem bem diferentes daquelas do modelo de Maxwell-Higgs, os vórtices obtidos se comportam como aqueles de Aharonov-Nielsen-Olesen, mas a escala de massa depende explicitamente do coeficiente que controla a quebra de Lorentz.Submitted by Rosivalda Pereira (mrs.pereira@ufma.br) on 2017-06-07T18:48:31Z No. of bitstreams: 1 AlexsandroLucenaMota.pdf: 2757687 bytes, checksum: 04b1d52c9ca203ed571f49aacf10eeac (MD5)Made available in DSpace on 2017-06-07T18:48:31Z (GMT). No. of bitstreams: 1 AlexsandroLucenaMota.pdf: 2757687 bytes, checksum: 04b1d52c9ca203ed571f49aacf10eeac (MD5) Previous issue date: 2014-09-30Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)application/pdfporUniversidade Federal do MaranhãoPROGRAMA DE PÓS-GRADUAÇÃO EM FÍSICA/CCETUFMABrasilDEPARTAMENTO DE FÍSICA/CCETDefeitos topológicosViolação das simetrias de Lorentz e CPTVórtices BPSTopological DefectsLorentz and CPT symmetry violationBPS vorticesFísica da Matéria CondensadaVórtices BPS na eletrodinâmica de Maxwell-Higgs com acoplamento nªo mínimo quebrando as simetrias de CPT e de LorentzBPS vortices in Maxwell-Higgs electrodynamics with minimum coupling breaking the CPT and Lorentz symmetriesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UFMAinstname:Universidade Federal do Maranhão (UFMA)instacron:UFMAORIGINALAlexsandroLucenaMota.pdfAlexsandroLucenaMota.pdfapplication/pdf2757687http://tedebc.ufma.br:8080/bitstream/tede/1593/2/AlexsandroLucenaMota.pdf04b1d52c9ca203ed571f49aacf10eeacMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82255http://tedebc.ufma.br:8080/bitstream/tede/1593/1/license.txt97eeade1fce43278e63fe063657f8083MD51tede/15932017-12-07 13:57:30.572oai:tede2: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Biblioteca Digital de Teses e Dissertaçõeshttps://tedebc.ufma.br/jspui/PUBhttp://tedebc.ufma.br:8080/oai/requestrepositorio@ufma.br||repositorio@ufma.bropendoar:21312017-12-07T16:57:30Biblioteca Digital de Teses e Dissertações da UFMA - Universidade Federal do Maranhão (UFMA)false
dc.title.por.fl_str_mv Vórtices BPS na eletrodinâmica de Maxwell-Higgs com acoplamento nªo mínimo quebrando as simetrias de CPT e de Lorentz
dc.title.alternative.eng.fl_str_mv BPS vortices in Maxwell-Higgs electrodynamics with minimum coupling breaking the CPT and Lorentz symmetries
title Vórtices BPS na eletrodinâmica de Maxwell-Higgs com acoplamento nªo mínimo quebrando as simetrias de CPT e de Lorentz
spellingShingle Vórtices BPS na eletrodinâmica de Maxwell-Higgs com acoplamento nªo mínimo quebrando as simetrias de CPT e de Lorentz
Mota, Alexsandro Lucena
Defeitos topológicos
Violação das simetrias de Lorentz e CPT
Vórtices BPS
Topological Defects
Lorentz and CPT symmetry violation
BPS vortices
Física da Matéria Condensada
title_short Vórtices BPS na eletrodinâmica de Maxwell-Higgs com acoplamento nªo mínimo quebrando as simetrias de CPT e de Lorentz
title_full Vórtices BPS na eletrodinâmica de Maxwell-Higgs com acoplamento nªo mínimo quebrando as simetrias de CPT e de Lorentz
title_fullStr Vórtices BPS na eletrodinâmica de Maxwell-Higgs com acoplamento nªo mínimo quebrando as simetrias de CPT e de Lorentz
title_full_unstemmed Vórtices BPS na eletrodinâmica de Maxwell-Higgs com acoplamento nªo mínimo quebrando as simetrias de CPT e de Lorentz
title_sort Vórtices BPS na eletrodinâmica de Maxwell-Higgs com acoplamento nªo mínimo quebrando as simetrias de CPT e de Lorentz
author Mota, Alexsandro Lucena
author_facet Mota, Alexsandro Lucena
author_role author
dc.contributor.advisor1.fl_str_mv CASANA SIFUENTES, Rodolfo Alván
dc.contributor.advisor1ID.fl_str_mv 814.273.363-34
dc.contributor.authorID.fl_str_mv 814.273.363-34
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/5036938931686294
dc.contributor.author.fl_str_mv Mota, Alexsandro Lucena
contributor_str_mv CASANA SIFUENTES, Rodolfo Alván
dc.subject.por.fl_str_mv Defeitos topológicos
Violação das simetrias de Lorentz e CPT
Vórtices BPS
topic Defeitos topológicos
Violação das simetrias de Lorentz e CPT
Vórtices BPS
Topological Defects
Lorentz and CPT symmetry violation
BPS vortices
Física da Matéria Condensada
dc.subject.eng.fl_str_mv Topological Defects
Lorentz and CPT symmetry violation
BPS vortices
dc.subject.cnpq.fl_str_mv Física da Matéria Condensada
description The first studies on Lorentz-violating BPS vórtices were accomplished within the framework of the Standard Model Extension (SME). Specifically, it was studied the effects of the Lorentz violation in the vortex solutions presented in the Maxwell-Higgs electrodynamics. The formation of vórtices was also analyzed in (1+2)-dimensional models obtained by dimensional reduction of the SME Abelian sector. Among the several effects of the Lorentz violation we can mention: the control of both the amplitude as the width of the vortex, magnetic field reversion, magnetic flux quantization with explicit dependence on the Lorentz-violating coefficients. In this dissertation we study the existence of topological BPS vórtices in a Maxwell-Higgs model in which the covariant derivative is modified by the addition of a CPT-odd term, which breaks the CPT- and Lorentz symmetry due to the presence of a vectorial background. The interaction generating a set of self-dual or first-order equations includes a potential jφj4 and a derivative coupling j@iφj4. Although the self-dual equations are very different of those belonging to the usual MaxwellHiggs model, the new vortex solutions behave just like the Aharonov-Nielsen-Olesen ones, but the mass scale depends explicitly on the Lorentz-violating coefficient.
publishDate 2014
dc.date.issued.fl_str_mv 2014-09-30
dc.date.accessioned.fl_str_mv 2017-06-07T18:48:31Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv MOTA, Alexsandro Lucena. Vórtices BPS na eletrodinâmica de Maxwell-Higgs com acoplamento nªo mínimo quebrando as simetrias de CPT e de Lorentz. 2014. 67 f. Dissertação (Programa de Pós-Graduação em Física) - Universidade Federal do Maranhão, São Luís, 2014.
dc.identifier.uri.fl_str_mv http://tedebc.ufma.br:8080/jspui/handle/tede/1593
identifier_str_mv MOTA, Alexsandro Lucena. Vórtices BPS na eletrodinâmica de Maxwell-Higgs com acoplamento nªo mínimo quebrando as simetrias de CPT e de Lorentz. 2014. 67 f. Dissertação (Programa de Pós-Graduação em Física) - Universidade Federal do Maranhão, São Luís, 2014.
url http://tedebc.ufma.br:8080/jspui/handle/tede/1593
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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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:Biblioteca Digital de Teses e Dissertações da UFMA
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