Subtleties in the beta-function calculation of N=1 supersymmetric gauge theories
Autor(a) principal: | |
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Data de Publicação: | 2016 |
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/10316/108586 https://doi.org/10.1140/epjc/s10052-015-3859-x |
Resumo: | We investigate some peculiarities in the calculation of the two-loop beta function of N=1 supersymmetric models which are intimately related to the so-called “anomaly puzzle”. There is an apparent paradox when the computation is performed in the framework of the covariant derivative background field method. In this formalism, there is obtained a finite two-loop effective action, although a non-null coefficient for the beta function is achieved by means of the renormalized two-point function in the background field. We show that if the standard background field method is used, this two-point function has a divergent part which allows for the calculation of the beta function via the renormalization constants, as usual. Therefore, we conjecture that this paradox has its origin in the covariant supergraph formalism itself, possibly being an artifact of the rescaling anomaly. |
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Subtleties in the beta-function calculation of N=1 supersymmetric gauge theoriesWe investigate some peculiarities in the calculation of the two-loop beta function of N=1 supersymmetric models which are intimately related to the so-called “anomaly puzzle”. There is an apparent paradox when the computation is performed in the framework of the covariant derivative background field method. In this formalism, there is obtained a finite two-loop effective action, although a non-null coefficient for the beta function is achieved by means of the renormalized two-point function in the background field. We show that if the standard background field method is used, this two-point function has a divergent part which allows for the calculation of the beta function via the renormalization constants, as usual. Therefore, we conjecture that this paradox has its origin in the covariant supergraph formalism itself, possibly being an artifact of the rescaling anomaly.Springer Nature2016info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/108586http://hdl.handle.net/10316/108586https://doi.org/10.1140/epjc/s10052-015-3859-xengCherchiglia, A. L.Sampaio, MarcosHiller, B.Baêta Scarpelli, A. P.info: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:RCAAP2023-09-04T11:11:42Zoai:estudogeral.uc.pt:10316/108586Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:24:52.853501Repositório 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 |
Subtleties in the beta-function calculation of N=1 supersymmetric gauge theories |
title |
Subtleties in the beta-function calculation of N=1 supersymmetric gauge theories |
spellingShingle |
Subtleties in the beta-function calculation of N=1 supersymmetric gauge theories Cherchiglia, A. L. |
title_short |
Subtleties in the beta-function calculation of N=1 supersymmetric gauge theories |
title_full |
Subtleties in the beta-function calculation of N=1 supersymmetric gauge theories |
title_fullStr |
Subtleties in the beta-function calculation of N=1 supersymmetric gauge theories |
title_full_unstemmed |
Subtleties in the beta-function calculation of N=1 supersymmetric gauge theories |
title_sort |
Subtleties in the beta-function calculation of N=1 supersymmetric gauge theories |
author |
Cherchiglia, A. L. |
author_facet |
Cherchiglia, A. L. Sampaio, Marcos Hiller, B. Baêta Scarpelli, A. P. |
author_role |
author |
author2 |
Sampaio, Marcos Hiller, B. Baêta Scarpelli, A. P. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Cherchiglia, A. L. Sampaio, Marcos Hiller, B. Baêta Scarpelli, A. P. |
description |
We investigate some peculiarities in the calculation of the two-loop beta function of N=1 supersymmetric models which are intimately related to the so-called “anomaly puzzle”. There is an apparent paradox when the computation is performed in the framework of the covariant derivative background field method. In this formalism, there is obtained a finite two-loop effective action, although a non-null coefficient for the beta function is achieved by means of the renormalized two-point function in the background field. We show that if the standard background field method is used, this two-point function has a divergent part which allows for the calculation of the beta function via the renormalization constants, as usual. Therefore, we conjecture that this paradox has its origin in the covariant supergraph formalism itself, possibly being an artifact of the rescaling anomaly. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016 |
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/10316/108586 http://hdl.handle.net/10316/108586 https://doi.org/10.1140/epjc/s10052-015-3859-x |
url |
http://hdl.handle.net/10316/108586 https://doi.org/10.1140/epjc/s10052-015-3859-x |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Springer Nature |
publisher.none.fl_str_mv |
Springer Nature |
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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1799134132153876480 |