Functional approach without path integrals to finite temperature free fermions
Autor(a) principal: | |
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Data de Publicação: | 1999 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Brazilian Journal of Physics |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331999000300023 |
Resumo: | Charret et al. applied the properties of Grassmann generators to develop a new method to calculate the coefficientes of the high temperature expansion of the grand canonical partition function of self-interacting fermionic models on d-dimensions (d > or = 1). The method explores the anti-commuting nature of fermionic fields and avoids the calculation of the fermionic path integral. We apply this new method to the relativistic free Dirac fermions and recover the known results in the literature without the beta-independent and mu-independent infinities that plague the continuum path integral formulation. |
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oai:scielo:S0103-97331999000300023 |
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Brazilian Journal of Physics |
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spelling |
Functional approach without path integrals to finite temperature free fermionsCharret et al. applied the properties of Grassmann generators to develop a new method to calculate the coefficientes of the high temperature expansion of the grand canonical partition function of self-interacting fermionic models on d-dimensions (d > or = 1). The method explores the anti-commuting nature of fermionic fields and avoids the calculation of the fermionic path integral. We apply this new method to the relativistic free Dirac fermions and recover the known results in the literature without the beta-independent and mu-independent infinities that plague the continuum path integral formulation.Sociedade Brasileira de Física1999-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331999000300023Brazilian Journal of Physics v.29 n.3 1999reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97331999000300023info:eu-repo/semantics/openAccessSouza,S.M. deRojas Santos,O.Thomaz,M.T.eng2000-08-07T00:00:00Zoai:scielo:S0103-97331999000300023Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2000-08-07T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false |
dc.title.none.fl_str_mv |
Functional approach without path integrals to finite temperature free fermions |
title |
Functional approach without path integrals to finite temperature free fermions |
spellingShingle |
Functional approach without path integrals to finite temperature free fermions Souza,S.M. de |
title_short |
Functional approach without path integrals to finite temperature free fermions |
title_full |
Functional approach without path integrals to finite temperature free fermions |
title_fullStr |
Functional approach without path integrals to finite temperature free fermions |
title_full_unstemmed |
Functional approach without path integrals to finite temperature free fermions |
title_sort |
Functional approach without path integrals to finite temperature free fermions |
author |
Souza,S.M. de |
author_facet |
Souza,S.M. de Rojas Santos,O. Thomaz,M.T. |
author_role |
author |
author2 |
Rojas Santos,O. Thomaz,M.T. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Souza,S.M. de Rojas Santos,O. Thomaz,M.T. |
description |
Charret et al. applied the properties of Grassmann generators to develop a new method to calculate the coefficientes of the high temperature expansion of the grand canonical partition function of self-interacting fermionic models on d-dimensions (d > or = 1). The method explores the anti-commuting nature of fermionic fields and avoids the calculation of the fermionic path integral. We apply this new method to the relativistic free Dirac fermions and recover the known results in the literature without the beta-independent and mu-independent infinities that plague the continuum path integral formulation. |
publishDate |
1999 |
dc.date.none.fl_str_mv |
1999-09-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331999000300023 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331999000300023 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0103-97331999000300023 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
dc.source.none.fl_str_mv |
Brazilian Journal of Physics v.29 n.3 1999 reponame:Brazilian Journal of Physics instname:Sociedade Brasileira de Física (SBF) instacron:SBF |
instname_str |
Sociedade Brasileira de Física (SBF) |
instacron_str |
SBF |
institution |
SBF |
reponame_str |
Brazilian Journal of Physics |
collection |
Brazilian Journal of Physics |
repository.name.fl_str_mv |
Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF) |
repository.mail.fl_str_mv |
sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br |
_version_ |
1754734858781851648 |