Sólitons BPS no modelo CP(2) acoplado minimamente com a ação de Maxwell-Chern-Simons
Autor(a) principal: | |
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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/2840 |
Resumo: | The dissertation addresses the study of radial symmetry s olitons in (2+1)-dimensions in a model in which the CP(2)- eld interacts minimally with an Abelian gauge eld ruled by the Maxwell-Chern-Simons term. The implementation of the Bogomol'nyi-Prasad-Sommer eld (BPS) formalism makes possible to nd rst-order di erential equations (BPS equations) whose solutions (BPS states) minimize the total energy of the system. The potential which generates BPS solitons is obtained through a simple but e ective methodology will be shown in detail. The magnetic ux and the total BPS energy are directly proportional to the winding numberg characterizing the non-trivial topology of the solutions, i.e., they are quantized. The analysis of the behavior of the solutions at the boundaries (at the origin and in nite) is performed by solving the linearized BPS equations. Finally, the complete solutions are obtained numerically and the respective pro les are presented which we comment on their main properties. |
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SIFUENTES, Rodolfo Alván Casanahttps://orcid.org/0000-0003-1461-3038http://lattes.cnpq.br/6508618435773438SIFUENTES, Rodolfo Alván Casanahttps://orcid.org/0000-0003-1461-3038http://lattes.cnpq.br/6508618435773438SANTOS, Carlos Eduardo da Horahttp://lattes.cnpq.br/3418148094049270SANTOS, Frederico Elias Passos doshttp://lattes.cnpq.br/8422758837336123084174801-29http://lattes.cnpq.br/3043812695609347GUTIERREZ, Neyver Henry Gonzalez2019-09-10T16:55:33Z2019-04-25GUTIERREZ, Neyver Henry Gonzalez. Sólitons BPS no modelo CP(2) acoplado minimamente com a ação de Maxwell-Chern-Simons. 2019. 85 f. Dissertação (Programa de Pós-Graduação em Física/CCET) - Universidade Federal do Maranhão, São Luís.https://tedebc.ufma.br/jspui/handle/tede/tede/2840The dissertation addresses the study of radial symmetry s olitons in (2+1)-dimensions in a model in which the CP(2)- eld interacts minimally with an Abelian gauge eld ruled by the Maxwell-Chern-Simons term. The implementation of the Bogomol'nyi-Prasad-Sommer eld (BPS) formalism makes possible to nd rst-order di erential equations (BPS equations) whose solutions (BPS states) minimize the total energy of the system. The potential which generates BPS solitons is obtained through a simple but e ective methodology will be shown in detail. The magnetic ux and the total BPS energy are directly proportional to the winding numberg characterizing the non-trivial topology of the solutions, i.e., they are quantized. The analysis of the behavior of the solutions at the boundaries (at the origin and in nite) is performed by solving the linearized BPS equations. Finally, the complete solutions are obtained numerically and the respective pro les are presented which we comment on their main properties.A dissertação aborda o estudo de sólitons com simetria radial em (1 + 2)-dimensões em um modelo CP(2) calibrado com o termo de Maxwell-Chern-Simons. A implementação do formalismo de Bogomol'nyi-Prasad-Sommerfield (BPS) torna possível encontrar equações diferenciais de primeira ordem (ou equações BPS) que descrevem as soluções (estados BPS) que minimizam a energia total do sistema. O potencial de interação capaz de gerar sólitons BPS obtido através de uma metodologia simples, mas eficaz, será mostrada em detalhes. O fluxo magnético e a energia total BPS são quantizadas pois são diretamente proporcionais ao winding number m E Z \ 0, que caracteriza a topologia não-trivial das soluções. O estudo do comportamento das soluções nas fronteiras (na origem e no infinito) é realizado via a solução das equações BPS linearizadas. Finalmente as soluções completas são obtidas numericamente e os respectivos perfis são apresentados comentando suas principais propriedades.Submitted by Sheila MONTEIRO (sheila.monteiro@ufma.br) on 2019-09-10T16:55:33Z No. of bitstreams: 1 NEYVER-GUTIERREZ.pdf: 2132875 bytes, checksum: 442188ee1c9243f1fd4835205c8ad7e1 (MD5)Made available in DSpace on 2019-09-10T16:55:33Z (GMT). No. of bitstreams: 1 NEYVER-GUTIERREZ.pdf: 2132875 bytes, checksum: 442188ee1c9243f1fd4835205c8ad7e1 (MD5) Previous issue date: 2019-04-25Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESapplication/pdfporUniversidade Federal do MaranhãoPROGRAMA DE PÓS-GRADUAÇÃO EM FÍSICA/CCETUFMABrasilDEPARTAMENTO DE FÍSICA/CCETModelo CP(2) calibradoFormalismo BPSSólitonsGauged CP(2) modelBPS formalismoSólitonsFísicaSólitons BPS no modelo CP(2) acoplado minimamente com a ação de Maxwell-Chern-SimonsBPS solitons in model CP (2) minimally coupled with Maxwell-Chern-Simons actioninfo: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:UFMAORIGINALNEYVER-GUTIERREZ.pdfNEYVER-GUTIERREZ.pdfapplication/pdf2132875http://tedebc.ufma.br:8080/bitstream/tede/2840/2/NEYVER-GUTIERREZ.pdf442188ee1c9243f1fd4835205c8ad7e1MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82279http://tedebc.ufma.br:8080/bitstream/tede/2840/1/license.txtd68b332aa99e49346de9044af0b25bacMD51tede/28402019-09-10 13:55:33.746oai: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:21312019-09-10T16:55:33Biblioteca Digital de Teses e Dissertações da UFMA - Universidade Federal do Maranhão (UFMA)false |
dc.title.por.fl_str_mv |
Sólitons BPS no modelo CP(2) acoplado minimamente com a ação de Maxwell-Chern-Simons |
dc.title.alternative.eng.fl_str_mv |
BPS solitons in model CP (2) minimally coupled with Maxwell-Chern-Simons action |
title |
Sólitons BPS no modelo CP(2) acoplado minimamente com a ação de Maxwell-Chern-Simons |
spellingShingle |
Sólitons BPS no modelo CP(2) acoplado minimamente com a ação de Maxwell-Chern-Simons GUTIERREZ, Neyver Henry Gonzalez Modelo CP(2) calibrado Formalismo BPS Sólitons Gauged CP(2) model BPS formalismo Sólitons Física |
title_short |
Sólitons BPS no modelo CP(2) acoplado minimamente com a ação de Maxwell-Chern-Simons |
title_full |
Sólitons BPS no modelo CP(2) acoplado minimamente com a ação de Maxwell-Chern-Simons |
title_fullStr |
Sólitons BPS no modelo CP(2) acoplado minimamente com a ação de Maxwell-Chern-Simons |
title_full_unstemmed |
Sólitons BPS no modelo CP(2) acoplado minimamente com a ação de Maxwell-Chern-Simons |
title_sort |
Sólitons BPS no modelo CP(2) acoplado minimamente com a ação de Maxwell-Chern-Simons |
author |
GUTIERREZ, Neyver Henry Gonzalez |
author_facet |
GUTIERREZ, Neyver Henry Gonzalez |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
SIFUENTES, Rodolfo Alván Casana |
dc.contributor.advisor1ID.fl_str_mv |
https://orcid.org/0000-0003-1461-3038 |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/6508618435773438 |
dc.contributor.referee1.fl_str_mv |
SIFUENTES, Rodolfo Alván Casana |
dc.contributor.referee1ID.fl_str_mv |
https://orcid.org/0000-0003-1461-3038 |
dc.contributor.referee1Lattes.fl_str_mv |
http://lattes.cnpq.br/6508618435773438 |
dc.contributor.referee2.fl_str_mv |
SANTOS, Carlos Eduardo da Hora |
dc.contributor.referee2Lattes.fl_str_mv |
http://lattes.cnpq.br/3418148094049270 |
dc.contributor.referee3.fl_str_mv |
SANTOS, Frederico Elias Passos dos |
dc.contributor.referee3Lattes.fl_str_mv |
http://lattes.cnpq.br/8422758837336123 |
dc.contributor.authorID.fl_str_mv |
084174801-29 |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/3043812695609347 |
dc.contributor.author.fl_str_mv |
GUTIERREZ, Neyver Henry Gonzalez |
contributor_str_mv |
SIFUENTES, Rodolfo Alván Casana SIFUENTES, Rodolfo Alván Casana SANTOS, Carlos Eduardo da Hora SANTOS, Frederico Elias Passos dos |
dc.subject.por.fl_str_mv |
Modelo CP(2) calibrado Formalismo BPS Sólitons Gauged CP(2) model BPS formalismo Sólitons |
topic |
Modelo CP(2) calibrado Formalismo BPS Sólitons Gauged CP(2) model BPS formalismo Sólitons Física |
dc.subject.cnpq.fl_str_mv |
Física |
description |
The dissertation addresses the study of radial symmetry s olitons in (2+1)-dimensions in a model in which the CP(2)- eld interacts minimally with an Abelian gauge eld ruled by the Maxwell-Chern-Simons term. The implementation of the Bogomol'nyi-Prasad-Sommer eld (BPS) formalism makes possible to nd rst-order di erential equations (BPS equations) whose solutions (BPS states) minimize the total energy of the system. The potential which generates BPS solitons is obtained through a simple but e ective methodology will be shown in detail. The magnetic ux and the total BPS energy are directly proportional to the winding numberg characterizing the non-trivial topology of the solutions, i.e., they are quantized. The analysis of the behavior of the solutions at the boundaries (at the origin and in nite) is performed by solving the linearized BPS equations. Finally, the complete solutions are obtained numerically and the respective pro les are presented which we comment on their main properties. |
publishDate |
2019 |
dc.date.accessioned.fl_str_mv |
2019-09-10T16:55:33Z |
dc.date.issued.fl_str_mv |
2019-04-25 |
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 |
GUTIERREZ, Neyver Henry Gonzalez. Sólitons BPS no modelo CP(2) acoplado minimamente com a ação de Maxwell-Chern-Simons. 2019. 85 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/2840 |
identifier_str_mv |
GUTIERREZ, Neyver Henry Gonzalez. Sólitons BPS no modelo CP(2) acoplado minimamente com a ação de Maxwell-Chern-Simons. 2019. 85 f. Dissertação (Programa de Pós-Graduação em Física/CCET) - Universidade Federal do Maranhão, São Luís. |
url |
https://tedebc.ufma.br/jspui/handle/tede/tede/2840 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Federal do Maranhão |
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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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