The role of hidden ambiguities in the linear sigma model with fermions
Autor(a) principal: | |
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Data de Publicação: | 2006 |
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/10316/4406 https://doi.org/10.1016/j.nuclphysa.2006.02.002 |
Resumo: | The UL(3)×UR(3) linear sigma model (LSM) with quark degrees of freedom is used to show that radiative corrections generate undetermined finite contributions. Their origin is related to surface terms which are differences between divergent integrals with the same degree of divergence. The technique used to detect these ambiguities is an implicit regularization on basic divergent integrals that do not depend on external momenta. We show that such contributions are absorbed by renormalization or fixed by symmetry requirements. The general expression for surface terms is derived. Renormalization group coefficients are calculated, as well as relevant observables for this model, such as f[pi], f[kappa] and the pion and kaon form factors. |
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The role of hidden ambiguities in the linear sigma model with fermionsThe UL(3)×UR(3) linear sigma model (LSM) with quark degrees of freedom is used to show that radiative corrections generate undetermined finite contributions. Their origin is related to surface terms which are differences between divergent integrals with the same degree of divergence. The technique used to detect these ambiguities is an implicit regularization on basic divergent integrals that do not depend on external momenta. We show that such contributions are absorbed by renormalization or fixed by symmetry requirements. The general expression for surface terms is derived. Renormalization group coefficients are calculated, as well as relevant observables for this model, such as f[pi], f[kappa] and the pion and kaon form factors.http://www.sciencedirect.com/science/article/B6TVB-4J9X12V-1/1/22b92a251dadfeb0c43a8958ea9db4b12006info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4406http://hdl.handle.net/10316/4406https://doi.org/10.1016/j.nuclphysa.2006.02.002engNuclear Physics A. 769:(2006) 53-70Hiller, BrigitteMota, A. L.Nemes, M. C.Osipov, Alexander A.Sampaio, Marcosinfo: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:10316/4406Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:59:51.139810Repositório 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 |
The role of hidden ambiguities in the linear sigma model with fermions |
title |
The role of hidden ambiguities in the linear sigma model with fermions |
spellingShingle |
The role of hidden ambiguities in the linear sigma model with fermions Hiller, Brigitte |
title_short |
The role of hidden ambiguities in the linear sigma model with fermions |
title_full |
The role of hidden ambiguities in the linear sigma model with fermions |
title_fullStr |
The role of hidden ambiguities in the linear sigma model with fermions |
title_full_unstemmed |
The role of hidden ambiguities in the linear sigma model with fermions |
title_sort |
The role of hidden ambiguities in the linear sigma model with fermions |
author |
Hiller, Brigitte |
author_facet |
Hiller, Brigitte Mota, A. L. Nemes, M. C. Osipov, Alexander A. Sampaio, Marcos |
author_role |
author |
author2 |
Mota, A. L. Nemes, M. C. Osipov, Alexander A. Sampaio, Marcos |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
Hiller, Brigitte Mota, A. L. Nemes, M. C. Osipov, Alexander A. Sampaio, Marcos |
description |
The UL(3)×UR(3) linear sigma model (LSM) with quark degrees of freedom is used to show that radiative corrections generate undetermined finite contributions. Their origin is related to surface terms which are differences between divergent integrals with the same degree of divergence. The technique used to detect these ambiguities is an implicit regularization on basic divergent integrals that do not depend on external momenta. We show that such contributions are absorbed by renormalization or fixed by symmetry requirements. The general expression for surface terms is derived. Renormalization group coefficients are calculated, as well as relevant observables for this model, such as f[pi], f[kappa] and the pion and kaon form factors. |
publishDate |
2006 |
dc.date.none.fl_str_mv |
2006 |
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/10316/4406 http://hdl.handle.net/10316/4406 https://doi.org/10.1016/j.nuclphysa.2006.02.002 |
url |
http://hdl.handle.net/10316/4406 https://doi.org/10.1016/j.nuclphysa.2006.02.002 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Nuclear Physics A. 769:(2006) 53-70 |
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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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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 |
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