Estrutura de fases da matéria de quarks quente, densa e magnetizada no modelo de Nambu–Jona-Lasinio
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Tipo de documento: | Tese |
Idioma: | por |
Título da fonte: | Manancial - Repositório Digital da UFSM |
dARK ID: | ark:/26339/001300000q1rx |
Texto Completo: | http://repositorio.ufsm.br/handle/1/15171 |
Resumo: | In this thesis we make use of the NJL model to the study and description of the QCD phase diagrams under different regimes of temperature, density and external magnetic fields. In our first work we study the influence of the application of an external magnetic field in the diquark condensation formation, and in the BEC-BCS crossover, in a system with two color degrees of freedom. We have dedicated special attention to the regularization of divergent integrals, and to the comparation with the smooth form factors scheme. We observe that the correct separation of the magnetic contributions is crucial to the correct description of the system, without nonphysical oscillations in the order parameters. In a second work we have studied a system with chiral imbalance, and we have shown that a method that can extract all medium contributions from divergent integrals before the regularization can explain why the well stablished chiral models such as NJL fails in the description of the behavior of the critical temperature for the chiral symmetry restoration with the increase of the chiral chemical potential m5, recently obtained by lattice QCD simulations. Furthermore we present a way to cure the problem, using a method that we call Medium Separation Scheme (MSS). Lastly, in our third work we came back to the study of BEC-BCS crossover, in a more realistic model, with three colors and including the color neutrality contidion, making use of an approximation that capture effects beyond mean field, the Optimized Perturbation Theory (OPT). We saw that the using of OPT in the case with neutrality require that the ratio between diquark and scalar coupling constants, Gd=Gs increase considerably to the BEC phase exists, and consequently the BEC-BCS crossover, when comparing with the Large Nc (or mean field) usual approximation. |
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Estrutura de fases da matéria de quarks quente, densa e magnetizada no modelo de Nambu–Jona-LasinioPhase structure of hot, dense and magnetized quark matter in Nambu–Jona-Lasinio modelDiagrama de fasesModelos efetivosRegularizaçãoCromodinâmica quânticaPhase diagramEffective modelsRegularizationQuantum chromodynamicsCNPQ::CIENCIAS EXATAS E DA TERRA::FISICAIn this thesis we make use of the NJL model to the study and description of the QCD phase diagrams under different regimes of temperature, density and external magnetic fields. In our first work we study the influence of the application of an external magnetic field in the diquark condensation formation, and in the BEC-BCS crossover, in a system with two color degrees of freedom. We have dedicated special attention to the regularization of divergent integrals, and to the comparation with the smooth form factors scheme. We observe that the correct separation of the magnetic contributions is crucial to the correct description of the system, without nonphysical oscillations in the order parameters. In a second work we have studied a system with chiral imbalance, and we have shown that a method that can extract all medium contributions from divergent integrals before the regularization can explain why the well stablished chiral models such as NJL fails in the description of the behavior of the critical temperature for the chiral symmetry restoration with the increase of the chiral chemical potential m5, recently obtained by lattice QCD simulations. Furthermore we present a way to cure the problem, using a method that we call Medium Separation Scheme (MSS). Lastly, in our third work we came back to the study of BEC-BCS crossover, in a more realistic model, with three colors and including the color neutrality contidion, making use of an approximation that capture effects beyond mean field, the Optimized Perturbation Theory (OPT). We saw that the using of OPT in the case with neutrality require that the ratio between diquark and scalar coupling constants, Gd=Gs increase considerably to the BEC phase exists, and consequently the BEC-BCS crossover, when comparing with the Large Nc (or mean field) usual approximation.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESNesta tese utilizamos o modelo de Nambu–Jona-Lasinio NJL para o estudo e descrição do diagrama de fases da Cromodinâmica Quântica (QCD) em diferentes regimes de temperatura, densidade e campos magnéticos externos. Em um primeiro trabalho estudamos a influência da aplicação de um campo magnético externo na formação do condensado de diquarks e no crossover BEC-BCS em um sistema com dois graus de liberdade de cor. Dedicamos atenção especial à regularização das integrais divergentes e à comparação com o método dos fatores de forma suaves. Vimos que a correta separação da contribuição magnética é crucial para a correta descrição do sistema, sem que haja oscilações não-físicas nos parâmetros de ordem. Em um segundo trabalho estudamos um sistema com desbalanceamento quiral, e mostramos que um método que extrai todas as contribuições de meio das integrais divergentes antes de regularizálas consegue explicar o porquê de modelos quirais tão bem estabelecidos como o NJL falharem em descrever o comportamento da temperatura crítica de restauração da simetria quiral com o aumento do potencial químico quiral m5, obtido recentemente por simulações de QCD na rede. Além disso apresentamos uma maneira de sanar este problema, utilizando o método que chamamos “Esquema de Separação dos Termos de Meio” (MSS). Por fim, no terceiro trabalho retornamos ao estudo do crossover BEC-BCS utilizando um modelo mais realístico, com três cores e incluindo a condição de neutralidade de cor, e com uma aproximação que captura efeitos além de campo médio, a “Teoria de Perturbação Otimizada” (OPT). Vimos que a utilização da OPT no caso com neutralidade faz com que a razão entre os acoplamentos de diquark e escalar, Gd=Gs aumente consideravelmente para que exista a fase BEC, e consequentemente o crossover BEC-BCS, em comparação com a aproximação de Large Nc (ou campo médio) usual.Universidade Federal de Santa MariaBrasilFísicaUFSMPrograma de Pós-Graduação em FísicaCentro de Ciências Naturais e ExatasFarias, Ricardo Luciano Sonegohttp://lattes.cnpq.br/5045106337913025Riffel, Rogemar Andréhttp://lattes.cnpq.br/7535636807201892Avancini, Sidney dos Santoshttp://lattes.cnpq.br/8593700785501754Frederico, Tobiashttp://lattes.cnpq.br/8102013525548196Timoteo, Varese Salvadorhttp://lattes.cnpq.br/7138726557754661Duarte, Dyana Cristine2018-12-27T09:47:27Z2018-12-27T09:47:27Z2018-03-26info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisapplication/pdfhttp://repositorio.ufsm.br/handle/1/15171ark:/26339/001300000q1rxporAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessreponame:Manancial - Repositório Digital da UFSMinstname:Universidade Federal de Santa Maria (UFSM)instacron:UFSM2022-08-23T15:01:10Zoai:repositorio.ufsm.br:1/15171Biblioteca Digital de Teses e Dissertaçõeshttps://repositorio.ufsm.br/ONGhttps://repositorio.ufsm.br/oai/requestatendimento.sib@ufsm.br||tedebc@gmail.comopendoar:2022-08-23T15:01:10Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM)false |
dc.title.none.fl_str_mv |
Estrutura de fases da matéria de quarks quente, densa e magnetizada no modelo de Nambu–Jona-Lasinio Phase structure of hot, dense and magnetized quark matter in Nambu–Jona-Lasinio model |
title |
Estrutura de fases da matéria de quarks quente, densa e magnetizada no modelo de Nambu–Jona-Lasinio |
spellingShingle |
Estrutura de fases da matéria de quarks quente, densa e magnetizada no modelo de Nambu–Jona-Lasinio Duarte, Dyana Cristine Diagrama de fases Modelos efetivos Regularização Cromodinâmica quântica Phase diagram Effective models Regularization Quantum chromodynamics CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA |
title_short |
Estrutura de fases da matéria de quarks quente, densa e magnetizada no modelo de Nambu–Jona-Lasinio |
title_full |
Estrutura de fases da matéria de quarks quente, densa e magnetizada no modelo de Nambu–Jona-Lasinio |
title_fullStr |
Estrutura de fases da matéria de quarks quente, densa e magnetizada no modelo de Nambu–Jona-Lasinio |
title_full_unstemmed |
Estrutura de fases da matéria de quarks quente, densa e magnetizada no modelo de Nambu–Jona-Lasinio |
title_sort |
Estrutura de fases da matéria de quarks quente, densa e magnetizada no modelo de Nambu–Jona-Lasinio |
author |
Duarte, Dyana Cristine |
author_facet |
Duarte, Dyana Cristine |
author_role |
author |
dc.contributor.none.fl_str_mv |
Farias, Ricardo Luciano Sonego http://lattes.cnpq.br/5045106337913025 Riffel, Rogemar André http://lattes.cnpq.br/7535636807201892 Avancini, Sidney dos Santos http://lattes.cnpq.br/8593700785501754 Frederico, Tobias http://lattes.cnpq.br/8102013525548196 Timoteo, Varese Salvador http://lattes.cnpq.br/7138726557754661 |
dc.contributor.author.fl_str_mv |
Duarte, Dyana Cristine |
dc.subject.por.fl_str_mv |
Diagrama de fases Modelos efetivos Regularização Cromodinâmica quântica Phase diagram Effective models Regularization Quantum chromodynamics CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA |
topic |
Diagrama de fases Modelos efetivos Regularização Cromodinâmica quântica Phase diagram Effective models Regularization Quantum chromodynamics CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA |
description |
In this thesis we make use of the NJL model to the study and description of the QCD phase diagrams under different regimes of temperature, density and external magnetic fields. In our first work we study the influence of the application of an external magnetic field in the diquark condensation formation, and in the BEC-BCS crossover, in a system with two color degrees of freedom. We have dedicated special attention to the regularization of divergent integrals, and to the comparation with the smooth form factors scheme. We observe that the correct separation of the magnetic contributions is crucial to the correct description of the system, without nonphysical oscillations in the order parameters. In a second work we have studied a system with chiral imbalance, and we have shown that a method that can extract all medium contributions from divergent integrals before the regularization can explain why the well stablished chiral models such as NJL fails in the description of the behavior of the critical temperature for the chiral symmetry restoration with the increase of the chiral chemical potential m5, recently obtained by lattice QCD simulations. Furthermore we present a way to cure the problem, using a method that we call Medium Separation Scheme (MSS). Lastly, in our third work we came back to the study of BEC-BCS crossover, in a more realistic model, with three colors and including the color neutrality contidion, making use of an approximation that capture effects beyond mean field, the Optimized Perturbation Theory (OPT). We saw that the using of OPT in the case with neutrality require that the ratio between diquark and scalar coupling constants, Gd=Gs increase considerably to the BEC phase exists, and consequently the BEC-BCS crossover, when comparing with the Large Nc (or mean field) usual approximation. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-27T09:47:27Z 2018-12-27T09:47:27Z 2018-03-26 |
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.uri.fl_str_mv |
http://repositorio.ufsm.br/handle/1/15171 |
dc.identifier.dark.fl_str_mv |
ark:/26339/001300000q1rx |
url |
http://repositorio.ufsm.br/handle/1/15171 |
identifier_str_mv |
ark:/26339/001300000q1rx |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.rights.driver.fl_str_mv |
Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Federal de Santa Maria Brasil Física UFSM Programa de Pós-Graduação em Física Centro de Ciências Naturais e Exatas |
publisher.none.fl_str_mv |
Universidade Federal de Santa Maria Brasil Física UFSM Programa de Pós-Graduação em Física Centro de Ciências Naturais e Exatas |
dc.source.none.fl_str_mv |
reponame:Manancial - Repositório Digital da UFSM instname:Universidade Federal de Santa Maria (UFSM) instacron:UFSM |
instname_str |
Universidade Federal de Santa Maria (UFSM) |
instacron_str |
UFSM |
institution |
UFSM |
reponame_str |
Manancial - Repositório Digital da UFSM |
collection |
Manancial - Repositório Digital da UFSM |
repository.name.fl_str_mv |
Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM) |
repository.mail.fl_str_mv |
atendimento.sib@ufsm.br||tedebc@gmail.com |
_version_ |
1815172376852168704 |