Vórtices BPS no modelo de Maxwell- CP(2) com estrutura interna
Autor(a) principal: | |
---|---|
Data de Publicação: | 2019 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Biblioteca Digital de Teses e Dissertações da UFMA |
Texto Completo: | https://tedebc.ufma.br/jspui/handle/tede/tede/2810 |
Resumo: | In this dissertation, I present the original BPS vortices (Bogomol'nyi-Prasad-Sommer)eld) inherent in a gauge model Maxwell-CP(2) from the general scenario CP (N-1) (in which N = 3, with N corresponding to the number of components of the CP (2) field), when subjected to the presence of an additional, real and neutral scalar field. Then, focusing on radially symmetrical structures, we construct a first-order structure for the model, using the Bogomol'nyi procedure. From the minimization of the total energy, we obtain general expressions for the minimum energy of the model, whose value has an extra contribution due to the presence of the neutral field, and for the respective first order equations (BPS equations), in which both the minimum energy while the BPS equations depend directly on the functional structure of the dielectric function. The introduction of the scalar field, which interacts with the electromagnetic sector via an unusual dielectric function, produces significant modifications in the shape of the resulting BPS vortices, such changes being understood as the manifestation of internal structures originated by the presence of the additional neutral field. |
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SANTOS, Carlos Eduardo da Hora943294943-53http://lattes.cnpq.br/3418148094049270SANTOS, Carlos Eduardo da Hora943294943-53http://lattes.cnpq.br/3418148094049270SIFUENTES, Rodolfo Alván Casanahttp://lattes.cnpq.br/6508618435773438SIMAS, Fabiano de Carvalhohttp://lattes.cnpq.br/141069503630694504582743307http://lattes.cnpq.br/5630437098750331ANDRADE, João Luís Brandão2019-08-07T17:00:33Z2019-04-23ANDRADE, João Luís Brandão. Vórtices BPS no modelo de Maxwell- CP(2) com estrutura interna. 2019. 91 f. Dissertação (Programa de Pós-Graduação em Física/CCET) - Universidade Federal do Maranhão, São Luís.https://tedebc.ufma.br/jspui/handle/tede/tede/2810In this dissertation, I present the original BPS vortices (Bogomol'nyi-Prasad-Sommer)eld) inherent in a gauge model Maxwell-CP(2) from the general scenario CP (N-1) (in which N = 3, with N corresponding to the number of components of the CP (2) field), when subjected to the presence of an additional, real and neutral scalar field. Then, focusing on radially symmetrical structures, we construct a first-order structure for the model, using the Bogomol'nyi procedure. From the minimization of the total energy, we obtain general expressions for the minimum energy of the model, whose value has an extra contribution due to the presence of the neutral field, and for the respective first order equations (BPS equations), in which both the minimum energy while the BPS equations depend directly on the functional structure of the dielectric function. The introduction of the scalar field, which interacts with the electromagnetic sector via an unusual dielectric function, produces significant modifications in the shape of the resulting BPS vortices, such changes being understood as the manifestation of internal structures originated by the presence of the additional neutral field.Nesta dissertação, apresento a construção original de vórtices BPS (Bogomol'nyi-Prasad- Sommer_eld) inerentes à um modelo de calibre Maxwell-CP (2) oriundo do cenário geral CP(N- 1) (no qual considera-se N = 3, com N correspondente ao número de componentes do campo CP (2)), quando sujeito a presença de um campo escalar adicional, real e neutro. Na sequência, com foco em estruturas radialmente simétricas, construímos uma estrutura de primeira ordem para o modelo, através do procedimento de Bogomol'nyi. A partir da minimização da energia total, obtemos expressões gerais para a energia mínima do modelo, cujo valor possui uma contribuição extra devido a presença do campo neutro, e para as respectivas equações de primeira ordem (equações BPS), na qual tanto a energia mínima quanto as equações BPS passam a depender diretamente da estrutura funcional da função dielétrica. A introdução do campo escalar, que interage com o setor eletromagnético via uma função dielétrica não-usual, produz significativas modificações na forma dos vórtices BPS resultantes, tais alterações sendo entendidas como a manifestação de estruturas internas originadas pela presença do campo neutro adicional.Submitted by Daniella Santos (daniella.santos@ufma.br) on 2019-08-07T17:00:33Z No. of bitstreams: 1 JoãoAndrade.pdf: 834094 bytes, checksum: 3d436e696e6732743aa375370b24fbdb (MD5)Made available in DSpace on 2019-08-07T17:00:33Z (GMT). No. of bitstreams: 1 JoãoAndrade.pdf: 834094 bytes, checksum: 3d436e696e6732743aa375370b24fbdb (MD5) Previous issue date: 2019-04-23CAPESCNPqapplication/pdfporUniversidade Federal do MaranhãoPROGRAMA DE PÓS-GRADUAÇÃO EM FÍSICA/CCETUFMABrasilDEPARTAMENTO DE FÍSICA/CCETDefeitos topológicosSólitonsTeorias de GaugeFormalismo BPSVórticesEstrutura InternaTopological defectsSólitonsGauge theoriesBPS formalismVorticesInternal structureFísicaVórtices BPS no modelo de Maxwell- CP(2) com estrutura internaBPS vortices in the Maxwell-CP (2) model with internal structureinfo: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:UFMAORIGINALJoãoAndrade.pdfJoãoAndrade.pdfapplication/pdf834094http://tedebc.ufma.br:8080/bitstream/tede/2810/2/Jo%C3%A3oAndrade.pdf3d436e696e6732743aa375370b24fbdbMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82279http://tedebc.ufma.br:8080/bitstream/tede/2810/1/license.txtd68b332aa99e49346de9044af0b25bacMD51tede/28102019-08-07 14:00:33.076oai: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:21312019-08-07T17:00:33Biblioteca Digital de Teses e Dissertações da UFMA - Universidade Federal do Maranhão (UFMA)false |
dc.title.por.fl_str_mv |
Vórtices BPS no modelo de Maxwell- CP(2) com estrutura interna |
dc.title.alternative.eng.fl_str_mv |
BPS vortices in the Maxwell-CP (2) model with internal structure |
title |
Vórtices BPS no modelo de Maxwell- CP(2) com estrutura interna |
spellingShingle |
Vórtices BPS no modelo de Maxwell- CP(2) com estrutura interna ANDRADE, João Luís Brandão Defeitos topológicos Sólitons Teorias de Gauge Formalismo BPS Vórtices Estrutura Interna Topological defects Sólitons Gauge theories BPS formalism Vortices Internal structure Física |
title_short |
Vórtices BPS no modelo de Maxwell- CP(2) com estrutura interna |
title_full |
Vórtices BPS no modelo de Maxwell- CP(2) com estrutura interna |
title_fullStr |
Vórtices BPS no modelo de Maxwell- CP(2) com estrutura interna |
title_full_unstemmed |
Vórtices BPS no modelo de Maxwell- CP(2) com estrutura interna |
title_sort |
Vórtices BPS no modelo de Maxwell- CP(2) com estrutura interna |
author |
ANDRADE, João Luís Brandão |
author_facet |
ANDRADE, João Luís Brandão |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
SANTOS, Carlos Eduardo da Hora |
dc.contributor.advisor1ID.fl_str_mv |
943294943-53 |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/3418148094049270 |
dc.contributor.referee1.fl_str_mv |
SANTOS, Carlos Eduardo da Hora |
dc.contributor.referee1ID.fl_str_mv |
943294943-53 |
dc.contributor.referee1Lattes.fl_str_mv |
http://lattes.cnpq.br/3418148094049270 |
dc.contributor.referee2.fl_str_mv |
SIFUENTES, Rodolfo Alván Casana |
dc.contributor.referee2Lattes.fl_str_mv |
http://lattes.cnpq.br/6508618435773438 |
dc.contributor.referee3.fl_str_mv |
SIMAS, Fabiano de Carvalho |
dc.contributor.referee3Lattes.fl_str_mv |
http://lattes.cnpq.br/1410695036306945 |
dc.contributor.authorID.fl_str_mv |
04582743307 |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/5630437098750331 |
dc.contributor.author.fl_str_mv |
ANDRADE, João Luís Brandão |
contributor_str_mv |
SANTOS, Carlos Eduardo da Hora SANTOS, Carlos Eduardo da Hora SIFUENTES, Rodolfo Alván Casana SIMAS, Fabiano de Carvalho |
dc.subject.por.fl_str_mv |
Defeitos topológicos Sólitons Teorias de Gauge Formalismo BPS Vórtices Estrutura Interna |
topic |
Defeitos topológicos Sólitons Teorias de Gauge Formalismo BPS Vórtices Estrutura Interna Topological defects Sólitons Gauge theories BPS formalism Vortices Internal structure Física |
dc.subject.eng.fl_str_mv |
Topological defects Sólitons Gauge theories BPS formalism Vortices Internal structure |
dc.subject.cnpq.fl_str_mv |
Física |
description |
In this dissertation, I present the original BPS vortices (Bogomol'nyi-Prasad-Sommer)eld) inherent in a gauge model Maxwell-CP(2) from the general scenario CP (N-1) (in which N = 3, with N corresponding to the number of components of the CP (2) field), when subjected to the presence of an additional, real and neutral scalar field. Then, focusing on radially symmetrical structures, we construct a first-order structure for the model, using the Bogomol'nyi procedure. From the minimization of the total energy, we obtain general expressions for the minimum energy of the model, whose value has an extra contribution due to the presence of the neutral field, and for the respective first order equations (BPS equations), in which both the minimum energy while the BPS equations depend directly on the functional structure of the dielectric function. The introduction of the scalar field, which interacts with the electromagnetic sector via an unusual dielectric function, produces significant modifications in the shape of the resulting BPS vortices, such changes being understood as the manifestation of internal structures originated by the presence of the additional neutral field. |
publishDate |
2019 |
dc.date.accessioned.fl_str_mv |
2019-08-07T17:00:33Z |
dc.date.issued.fl_str_mv |
2019-04-23 |
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 |
ANDRADE, João Luís Brandão. Vórtices BPS no modelo de Maxwell- CP(2) com estrutura interna. 2019. 91 f. Dissertação (Programa de Pós-Graduação em Física/CCET) - Universidade Federal do Maranhão, São Luís. |
dc.identifier.uri.fl_str_mv |
https://tedebc.ufma.br/jspui/handle/tede/tede/2810 |
identifier_str_mv |
ANDRADE, João Luís Brandão. Vórtices BPS no modelo de Maxwell- CP(2) com estrutura interna. 2019. 91 f. Dissertação (Programa de Pós-Graduação em Física/CCET) - Universidade Federal do Maranhão, São Luís. |
url |
https://tedebc.ufma.br/jspui/handle/tede/tede/2810 |
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 |
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