Extension of the Nambu-Jona-Lasinio model predictions at high densities and temperatures using an implicit regularization scheme
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevC.77.065201 http://hdl.handle.net/11449/225183 |
Resumo: | Traditional cutoff regularization schemes of the Nambu-Jona-Lasinio model limit the applicability of the model to energy-momentum scales much below the value of the regularizing cutoff. In particular, the model cannot be used to study quark matter with Fermi momenta larger than the cutoff. In the present work, an extension of the model to high temperatures and densities recently proposed by Casalbuoni, Gatto, Nardulli, and Ruggieri is used in connection with an implicit regularization scheme. This is done by making use of scaling relations of the divergent one-loop integrals that relate these integrals at different energy-momentum scales. Fixing the pion decay constant at the chiral symmetry breaking scale in the vacuum, the scaling relations predict a running coupling constant that decreases as the regularization scale increases, implementing in a schematic way the property of asymptotic freedom of quantum chromodynamics. If the regularization scale is allowed to increase with density and temperature, the coupling will decrease with density and temperature, extending in this way the applicability of the model to high densities and temperatures. These results are obtained without specifying an explicit regularization. As an illustration of the formalism, numerical results are obtained for the finite density and finite temperature quark condensate and applied to the problem of color superconductivity at high quark densities and finite temperature. © 2008 The American Physical Society. |
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Extension of the Nambu-Jona-Lasinio model predictions at high densities and temperatures using an implicit regularization schemeTraditional cutoff regularization schemes of the Nambu-Jona-Lasinio model limit the applicability of the model to energy-momentum scales much below the value of the regularizing cutoff. In particular, the model cannot be used to study quark matter with Fermi momenta larger than the cutoff. In the present work, an extension of the model to high temperatures and densities recently proposed by Casalbuoni, Gatto, Nardulli, and Ruggieri is used in connection with an implicit regularization scheme. This is done by making use of scaling relations of the divergent one-loop integrals that relate these integrals at different energy-momentum scales. Fixing the pion decay constant at the chiral symmetry breaking scale in the vacuum, the scaling relations predict a running coupling constant that decreases as the regularization scale increases, implementing in a schematic way the property of asymptotic freedom of quantum chromodynamics. If the regularization scale is allowed to increase with density and temperature, the coupling will decrease with density and temperature, extending in this way the applicability of the model to high densities and temperatures. These results are obtained without specifying an explicit regularization. As an illustration of the formalism, numerical results are obtained for the finite density and finite temperature quark condensate and applied to the problem of color superconductivity at high quark densities and finite temperature. © 2008 The American Physical Society.Departamento de Física Teórica Universidade Do Estado Do Rio de Janeiro, Rio de Janeiro, RJ 20559-900Departamento de Ciências Exatas Universidade Federal de Lavras, Cx. Postal 37, 37200-000, Lavras, MGInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, São Paulo, SP 01405-900CBPF Centro Brasileiro de Pesquisas Fisicas, Rua Xavier Sigaud 150, 22290-180 Urca Rio de Janeiro, RJInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, São Paulo, SP 01405-900Universidade do Estado do Rio de Janeiro (UERJ)Universidade Federal de Lavras (UFLA)Universidade Estadual Paulista (UNESP)Centro Brasileiro de Pesquisas FisicasFarias, R. L.S.Dallabona, G.Krein, G. [UNESP]Battistel, O. A.2022-04-28T20:41:59Z2022-04-28T20:41:59Z2008-06-09info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevC.77.065201Physical Review C - Nuclear Physics, v. 77, n. 6, 2008.1089-490X0556-2813http://hdl.handle.net/11449/22518310.1103/PhysRevC.77.0652012-s2.0-45349094246Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review C - Nuclear Physicsinfo:eu-repo/semantics/openAccess2022-04-28T20:41:59Zoai:repositorio.unesp.br:11449/225183Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T20:41:59Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Extension of the Nambu-Jona-Lasinio model predictions at high densities and temperatures using an implicit regularization scheme |
title |
Extension of the Nambu-Jona-Lasinio model predictions at high densities and temperatures using an implicit regularization scheme |
spellingShingle |
Extension of the Nambu-Jona-Lasinio model predictions at high densities and temperatures using an implicit regularization scheme Farias, R. L.S. |
title_short |
Extension of the Nambu-Jona-Lasinio model predictions at high densities and temperatures using an implicit regularization scheme |
title_full |
Extension of the Nambu-Jona-Lasinio model predictions at high densities and temperatures using an implicit regularization scheme |
title_fullStr |
Extension of the Nambu-Jona-Lasinio model predictions at high densities and temperatures using an implicit regularization scheme |
title_full_unstemmed |
Extension of the Nambu-Jona-Lasinio model predictions at high densities and temperatures using an implicit regularization scheme |
title_sort |
Extension of the Nambu-Jona-Lasinio model predictions at high densities and temperatures using an implicit regularization scheme |
author |
Farias, R. L.S. |
author_facet |
Farias, R. L.S. Dallabona, G. Krein, G. [UNESP] Battistel, O. A. |
author_role |
author |
author2 |
Dallabona, G. Krein, G. [UNESP] Battistel, O. A. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade do Estado do Rio de Janeiro (UERJ) Universidade Federal de Lavras (UFLA) Universidade Estadual Paulista (UNESP) Centro Brasileiro de Pesquisas Fisicas |
dc.contributor.author.fl_str_mv |
Farias, R. L.S. Dallabona, G. Krein, G. [UNESP] Battistel, O. A. |
description |
Traditional cutoff regularization schemes of the Nambu-Jona-Lasinio model limit the applicability of the model to energy-momentum scales much below the value of the regularizing cutoff. In particular, the model cannot be used to study quark matter with Fermi momenta larger than the cutoff. In the present work, an extension of the model to high temperatures and densities recently proposed by Casalbuoni, Gatto, Nardulli, and Ruggieri is used in connection with an implicit regularization scheme. This is done by making use of scaling relations of the divergent one-loop integrals that relate these integrals at different energy-momentum scales. Fixing the pion decay constant at the chiral symmetry breaking scale in the vacuum, the scaling relations predict a running coupling constant that decreases as the regularization scale increases, implementing in a schematic way the property of asymptotic freedom of quantum chromodynamics. If the regularization scale is allowed to increase with density and temperature, the coupling will decrease with density and temperature, extending in this way the applicability of the model to high densities and temperatures. These results are obtained without specifying an explicit regularization. As an illustration of the formalism, numerical results are obtained for the finite density and finite temperature quark condensate and applied to the problem of color superconductivity at high quark densities and finite temperature. © 2008 The American Physical Society. |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008-06-09 2022-04-28T20:41:59Z 2022-04-28T20:41:59Z |
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/PhysRevC.77.065201 Physical Review C - Nuclear Physics, v. 77, n. 6, 2008. 1089-490X 0556-2813 http://hdl.handle.net/11449/225183 10.1103/PhysRevC.77.065201 2-s2.0-45349094246 |
url |
http://dx.doi.org/10.1103/PhysRevC.77.065201 http://hdl.handle.net/11449/225183 |
identifier_str_mv |
Physical Review C - Nuclear Physics, v. 77, n. 6, 2008. 1089-490X 0556-2813 10.1103/PhysRevC.77.065201 2-s2.0-45349094246 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review C - Nuclear Physics |
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_ |
1797790137667551232 |