One-loop fermion determinant with explicit chiral symmetry breaking
Autor(a) principal: | |
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Data de Publicação: | 2000 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10316/4525 https://doi.org/10.1016/S0370-2693(00)00848-0 |
Resumo: | We use a proper-time regularization to define the real part of the one-loop fermion determinant for the case in which explicit chiral symmetry breaking takes place. We demonstrate that beyond the chiral limit the standard definition of Re[lndetD] by lndetD deforms the symmetry breaking pattern of the basic fermionic Lagrangian. We show how to obtain the correcting functional in order to arrive at the fermion determinant whose transformation properties are consistent with the general symmetry requirements. As an example it is shown how the fundamental symmetries and the explicit chiral symmetry breaking pattern associated with the ENJL model are consistently preserved in this way. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
spelling |
One-loop fermion determinant with explicit chiral symmetry breakingWe use a proper-time regularization to define the real part of the one-loop fermion determinant for the case in which explicit chiral symmetry breaking takes place. We demonstrate that beyond the chiral limit the standard definition of Re[lndetD] by lndetD deforms the symmetry breaking pattern of the basic fermionic Lagrangian. We show how to obtain the correcting functional in order to arrive at the fermion determinant whose transformation properties are consistent with the general symmetry requirements. As an example it is shown how the fundamental symmetries and the explicit chiral symmetry breaking pattern associated with the ENJL model are consistently preserved in this way.http://www.sciencedirect.com/science/article/B6TVN-414N2T4-D/1/257f4fc55b963da2f7d8521336d4bc812000info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4525http://hdl.handle.net/10316/4525https://doi.org/10.1016/S0370-2693(00)00848-0engPhysics Letters B. 488:3-4 (2000) 299-302Osipov, Alexander A.Hiller, Brigitteinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2021-10-07T07:47:58Zoai:estudogeral.uc.pt:10316/4525Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:59:38.736214Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
One-loop fermion determinant with explicit chiral symmetry breaking |
title |
One-loop fermion determinant with explicit chiral symmetry breaking |
spellingShingle |
One-loop fermion determinant with explicit chiral symmetry breaking Osipov, Alexander A. |
title_short |
One-loop fermion determinant with explicit chiral symmetry breaking |
title_full |
One-loop fermion determinant with explicit chiral symmetry breaking |
title_fullStr |
One-loop fermion determinant with explicit chiral symmetry breaking |
title_full_unstemmed |
One-loop fermion determinant with explicit chiral symmetry breaking |
title_sort |
One-loop fermion determinant with explicit chiral symmetry breaking |
author |
Osipov, Alexander A. |
author_facet |
Osipov, Alexander A. Hiller, Brigitte |
author_role |
author |
author2 |
Hiller, Brigitte |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Osipov, Alexander A. Hiller, Brigitte |
description |
We use a proper-time regularization to define the real part of the one-loop fermion determinant for the case in which explicit chiral symmetry breaking takes place. We demonstrate that beyond the chiral limit the standard definition of Re[lndetD] by lndetD deforms the symmetry breaking pattern of the basic fermionic Lagrangian. We show how to obtain the correcting functional in order to arrive at the fermion determinant whose transformation properties are consistent with the general symmetry requirements. As an example it is shown how the fundamental symmetries and the explicit chiral symmetry breaking pattern associated with the ENJL model are consistently preserved in this way. |
publishDate |
2000 |
dc.date.none.fl_str_mv |
2000 |
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://hdl.handle.net/10316/4525 http://hdl.handle.net/10316/4525 https://doi.org/10.1016/S0370-2693(00)00848-0 |
url |
http://hdl.handle.net/10316/4525 https://doi.org/10.1016/S0370-2693(00)00848-0 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physics Letters B. 488:3-4 (2000) 299-302 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
aplication/PDF |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799133887843008512 |