Causality violation and the speed of sound of hot and dense quark matter in the Nambu-Jona-Lasinio model
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevD.107.096017 http://hdl.handle.net/11449/248949 |
Resumo: | The Nambu-Jona-Lasinio model is widely used to study strong-interaction phenomena in vacuum and quark matter. Since the model is nonrenormalizable, one needs to work within a specific regularization scheme to obtain finite results. Here we show that a commonly used cutoff regularization scheme leads to unphysical results, such as superluminal speed of sound and wrong high-temperature behavior of the specific heat and other thermodynamical quantities. Such a troublesome feature of the cutoff regularization invalidates the model for temperature and baryon density values relevant to the phenomenology of heavy-ion collisions and compact stars. We show that the source of the problems stems from cutting off momentum modes in finite integrals depending on thermal distribution functions in the grand canonical potential. The problems go away when taking into account the full momentum range of those integrals. Explicit examples are worked out in the SU(2)-flavor version of the model. |
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Causality violation and the speed of sound of hot and dense quark matter in the Nambu-Jona-Lasinio modelThe Nambu-Jona-Lasinio model is widely used to study strong-interaction phenomena in vacuum and quark matter. Since the model is nonrenormalizable, one needs to work within a specific regularization scheme to obtain finite results. Here we show that a commonly used cutoff regularization scheme leads to unphysical results, such as superluminal speed of sound and wrong high-temperature behavior of the specific heat and other thermodynamical quantities. Such a troublesome feature of the cutoff regularization invalidates the model for temperature and baryon density values relevant to the phenomenology of heavy-ion collisions and compact stars. We show that the source of the problems stems from cutting off momentum modes in finite integrals depending on thermal distribution functions in the grand canonical potential. The problems go away when taking into account the full momentum range of those integrals. Explicit examples are worked out in the SU(2)-flavor version of the model.Departamento de Física Universidade Federal de Santa Maria, Rio Grande do SulDepartamento de Física Universidade Federal de Santa Catarina, Santa CatarinaDepartamento de Física Teórica Universidade Do Estado Do Rio de Janeiro, Rio de JaneiroInstituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II, São PauloInstituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II, São PauloUniversidade Federal de Santa MariaUniversidade Federal de Santa Catarina (UFSC)Universidade do Estado do Rio de Janeiro (UERJ)Universidade Estadual Paulista (UNESP)Pasqualotto, Arthur E. B.Farias, Ricardo L. S.Tavares, William R.Avancini, Sidney S.Krein, Gastão [UNESP]2023-07-29T13:58:16Z2023-07-29T13:58:16Z2023-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevD.107.096017Physical Review D, v. 107, n. 9, 2023.2470-00292470-0010http://hdl.handle.net/11449/24894910.1103/PhysRevD.107.0960172-s2.0-85161239127Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Dinfo:eu-repo/semantics/openAccess2023-07-29T13:58:16Zoai:repositorio.unesp.br:11449/248949Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:36:46.912742Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Causality violation and the speed of sound of hot and dense quark matter in the Nambu-Jona-Lasinio model |
title |
Causality violation and the speed of sound of hot and dense quark matter in the Nambu-Jona-Lasinio model |
spellingShingle |
Causality violation and the speed of sound of hot and dense quark matter in the Nambu-Jona-Lasinio model Pasqualotto, Arthur E. B. |
title_short |
Causality violation and the speed of sound of hot and dense quark matter in the Nambu-Jona-Lasinio model |
title_full |
Causality violation and the speed of sound of hot and dense quark matter in the Nambu-Jona-Lasinio model |
title_fullStr |
Causality violation and the speed of sound of hot and dense quark matter in the Nambu-Jona-Lasinio model |
title_full_unstemmed |
Causality violation and the speed of sound of hot and dense quark matter in the Nambu-Jona-Lasinio model |
title_sort |
Causality violation and the speed of sound of hot and dense quark matter in the Nambu-Jona-Lasinio model |
author |
Pasqualotto, Arthur E. B. |
author_facet |
Pasqualotto, Arthur E. B. Farias, Ricardo L. S. Tavares, William R. Avancini, Sidney S. Krein, Gastão [UNESP] |
author_role |
author |
author2 |
Farias, Ricardo L. S. Tavares, William R. Avancini, Sidney S. Krein, Gastão [UNESP] |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Universidade Federal de Santa Maria Universidade Federal de Santa Catarina (UFSC) Universidade do Estado do Rio de Janeiro (UERJ) Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Pasqualotto, Arthur E. B. Farias, Ricardo L. S. Tavares, William R. Avancini, Sidney S. Krein, Gastão [UNESP] |
description |
The Nambu-Jona-Lasinio model is widely used to study strong-interaction phenomena in vacuum and quark matter. Since the model is nonrenormalizable, one needs to work within a specific regularization scheme to obtain finite results. Here we show that a commonly used cutoff regularization scheme leads to unphysical results, such as superluminal speed of sound and wrong high-temperature behavior of the specific heat and other thermodynamical quantities. Such a troublesome feature of the cutoff regularization invalidates the model for temperature and baryon density values relevant to the phenomenology of heavy-ion collisions and compact stars. We show that the source of the problems stems from cutting off momentum modes in finite integrals depending on thermal distribution functions in the grand canonical potential. The problems go away when taking into account the full momentum range of those integrals. Explicit examples are worked out in the SU(2)-flavor version of the model. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-07-29T13:58:16Z 2023-07-29T13:58:16Z 2023-05-01 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevD.107.096017 Physical Review D, v. 107, n. 9, 2023. 2470-0029 2470-0010 http://hdl.handle.net/11449/248949 10.1103/PhysRevD.107.096017 2-s2.0-85161239127 |
url |
http://dx.doi.org/10.1103/PhysRevD.107.096017 http://hdl.handle.net/11449/248949 |
identifier_str_mv |
Physical Review D, v. 107, n. 9, 2023. 2470-0029 2470-0010 10.1103/PhysRevD.107.096017 2-s2.0-85161239127 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review D |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128539868790784 |