Estrutura de fases da matéria de quarks quente, densa e magnetizada no modelo de Nambu–Jona-Lasinio

Detalhes bibliográficos
Autor(a) principal: Duarte, Dyana Cristine
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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spelling 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
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