Phase transition in the 3D massive Gross-Neveu model

Detalhes bibliográficos
Autor(a) principal: Khanna, Faqir C.
Data de Publicação: 2010
Outros Autores: Malbouisson, Adolfo Pedro Carvalho, Malbouisson, Jorge Mário Carvalho, Santana, Ademir Eugênio de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/12432
Resumo: We consider the 3-dimensional massive Gross-Neveu model at finite temperature as an effective theory for strong interactions. Using the Matsubara imaginary-time formalism, we derive a closed form for the renormalized T-dependent four-point function. This gives a singularity, suggesting a phase transition. Considering the free energy we obtain the T-dependent mass, which goes to zero for some temperature. These results lead us to the conclusion that there is a second-order phase transition.
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spelling Khanna, Faqir C.Malbouisson, Adolfo Pedro CarvalhoMalbouisson, Jorge Mário CarvalhoSantana, Ademir Eugênio deKhanna, Faqir C.Malbouisson, Adolfo Pedro CarvalhoMalbouisson, Jorge Mário CarvalhoSantana, Ademir Eugênio de2013-08-05T09:48:31Z2013-08-05T09:48:31Z20100295-5075http://www.repositorio.ufba.br/ri/handle/ri/12432v. 92, n. 1We consider the 3-dimensional massive Gross-Neveu model at finite temperature as an effective theory for strong interactions. Using the Matsubara imaginary-time formalism, we derive a closed form for the renormalized T-dependent four-point function. This gives a singularity, suggesting a phase transition. Considering the free energy we obtain the T-dependent mass, which goes to zero for some temperature. These results lead us to the conclusion that there is a second-order phase transition.Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2013-08-02T12:40:03Z No. of bitstreams: 1 0295-5075_92_1_11001.pdf: 205912 bytes, checksum: ac74335d726ebb2cc7086ea65299166a (MD5)Approved for entry into archive by Rodrigo Meirelles(rodrigomei@ufba.br) on 2013-08-05T09:48:31Z (GMT) No. of bitstreams: 1 0295-5075_92_1_11001.pdf: 205912 bytes, checksum: ac74335d726ebb2cc7086ea65299166a (MD5)Made available in DSpace on 2013-08-05T09:48:31Z (GMT). No. of bitstreams: 1 0295-5075_92_1_11001.pdf: 205912 bytes, checksum: ac74335d726ebb2cc7086ea65299166a (MD5) Previous issue date: 2010http://dx.doi.org/10.1209/0295-5075/92/11001reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAPhase transition in the 3D massive Gross-Neveu modelEPLinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessORIGINAL0295-5075_92_1_11001.pdf0295-5075_92_1_11001.pdfapplication/pdf205912https://repositorio.ufba.br/bitstream/ri/12432/1/0295-5075_92_1_11001.pdfac74335d726ebb2cc7086ea65299166aMD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/12432/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT0295-5075_92_1_11001.pdf.txt0295-5075_92_1_11001.pdf.txtExtracted texttext/plain24089https://repositorio.ufba.br/bitstream/ri/12432/3/0295-5075_92_1_11001.pdf.txtbf8e81afc068cfc1826f83ef0afdcf1cMD53ri/124322022-07-05 14:03:46.744oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:46Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Phase transition in the 3D massive Gross-Neveu model
dc.title.alternative.pt_BR.fl_str_mv EPL
title Phase transition in the 3D massive Gross-Neveu model
spellingShingle Phase transition in the 3D massive Gross-Neveu model
Khanna, Faqir C.
title_short Phase transition in the 3D massive Gross-Neveu model
title_full Phase transition in the 3D massive Gross-Neveu model
title_fullStr Phase transition in the 3D massive Gross-Neveu model
title_full_unstemmed Phase transition in the 3D massive Gross-Neveu model
title_sort Phase transition in the 3D massive Gross-Neveu model
author Khanna, Faqir C.
author_facet Khanna, Faqir C.
Malbouisson, Adolfo Pedro Carvalho
Malbouisson, Jorge Mário Carvalho
Santana, Ademir Eugênio de
author_role author
author2 Malbouisson, Adolfo Pedro Carvalho
Malbouisson, Jorge Mário Carvalho
Santana, Ademir Eugênio de
author2_role author
author
author
dc.contributor.author.fl_str_mv Khanna, Faqir C.
Malbouisson, Adolfo Pedro Carvalho
Malbouisson, Jorge Mário Carvalho
Santana, Ademir Eugênio de
Khanna, Faqir C.
Malbouisson, Adolfo Pedro Carvalho
Malbouisson, Jorge Mário Carvalho
Santana, Ademir Eugênio de
description We consider the 3-dimensional massive Gross-Neveu model at finite temperature as an effective theory for strong interactions. Using the Matsubara imaginary-time formalism, we derive a closed form for the renormalized T-dependent four-point function. This gives a singularity, suggesting a phase transition. Considering the free energy we obtain the T-dependent mass, which goes to zero for some temperature. These results lead us to the conclusion that there is a second-order phase transition.
publishDate 2010
dc.date.issued.fl_str_mv 2010
dc.date.accessioned.fl_str_mv 2013-08-05T09:48:31Z
dc.date.available.fl_str_mv 2013-08-05T09:48:31Z
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://www.repositorio.ufba.br/ri/handle/ri/12432
dc.identifier.issn.none.fl_str_mv 0295-5075
dc.identifier.number.pt_BR.fl_str_mv v. 92, n. 1
identifier_str_mv 0295-5075
v. 92, n. 1
url http://www.repositorio.ufba.br/ri/handle/ri/12432
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1209/0295-5075/92/11001
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
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