Ambiguities and symmetry relations associated with fermionic tensor densities
Autor(a) principal: | |
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Data de Publicação: | 2004 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevD.70.065017 http://hdl.handle.net/11449/231353 |
Resumo: | We consider the consistent evaluation of perturbative (divergent) Green functions associated with fermionic tensor densities and the derivation of symmetry relations for them. We show that, in spite of current algebra methods being not applicable, it is possible to derive symmetry properties analogous to the Ward identities of vector and axial-vector densities. The proposed method, which is applicable to any previously chosen order of perturbative calculation, gives the same results as those of current algebra when such a tool is applicable. By using a very general calculational strategy, concerning the manipulations and calculations involving divergent Feynman integrals, we evaluate the purely fermionic two-point functions containing tensor vertices and derive their symmetry properties. The present investigation is the first step in the study and characterization of possible anomalies involving fermionic tensor densities, particularly in purely fermionic three-point functions. © 2004 The American Physical Society. |
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Ambiguities and symmetry relations associated with fermionic tensor densitiesWe consider the consistent evaluation of perturbative (divergent) Green functions associated with fermionic tensor densities and the derivation of symmetry relations for them. We show that, in spite of current algebra methods being not applicable, it is possible to derive symmetry properties analogous to the Ward identities of vector and axial-vector densities. The proposed method, which is applicable to any previously chosen order of perturbative calculation, gives the same results as those of current algebra when such a tool is applicable. By using a very general calculational strategy, concerning the manipulations and calculations involving divergent Feynman integrals, we evaluate the purely fermionic two-point functions containing tensor vertices and derive their symmetry properties. The present investigation is the first step in the study and characterization of possible anomalies involving fermionic tensor densities, particularly in purely fermionic three-point functions. © 2004 The American Physical Society.Instituto de Física Teórica, São Paulo, 01405-900Departamento de Física Universidade Federal de Santa Maria, Caixa Postal 5093, 97119-900Instituto de Física TeóricaUniversidade Federal de Santa MariaDallabona, G.Battistel, O. A.2022-04-29T08:44:55Z2022-04-29T08:44:55Z2004-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevD.70.065017Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 70, n. 6, 2004.1550-23681550-7998http://hdl.handle.net/11449/23135310.1103/PhysRevD.70.0650172-s2.0-84927752502Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review D - Particles, Fields, Gravitation and Cosmologyinfo:eu-repo/semantics/openAccess2022-04-29T08:44:55Zoai:repositorio.unesp.br:11449/231353Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:35:49.132056Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Ambiguities and symmetry relations associated with fermionic tensor densities |
title |
Ambiguities and symmetry relations associated with fermionic tensor densities |
spellingShingle |
Ambiguities and symmetry relations associated with fermionic tensor densities Dallabona, G. |
title_short |
Ambiguities and symmetry relations associated with fermionic tensor densities |
title_full |
Ambiguities and symmetry relations associated with fermionic tensor densities |
title_fullStr |
Ambiguities and symmetry relations associated with fermionic tensor densities |
title_full_unstemmed |
Ambiguities and symmetry relations associated with fermionic tensor densities |
title_sort |
Ambiguities and symmetry relations associated with fermionic tensor densities |
author |
Dallabona, G. |
author_facet |
Dallabona, G. Battistel, O. A. |
author_role |
author |
author2 |
Battistel, O. A. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Instituto de Física Teórica Universidade Federal de Santa Maria |
dc.contributor.author.fl_str_mv |
Dallabona, G. Battistel, O. A. |
description |
We consider the consistent evaluation of perturbative (divergent) Green functions associated with fermionic tensor densities and the derivation of symmetry relations for them. We show that, in spite of current algebra methods being not applicable, it is possible to derive symmetry properties analogous to the Ward identities of vector and axial-vector densities. The proposed method, which is applicable to any previously chosen order of perturbative calculation, gives the same results as those of current algebra when such a tool is applicable. By using a very general calculational strategy, concerning the manipulations and calculations involving divergent Feynman integrals, we evaluate the purely fermionic two-point functions containing tensor vertices and derive their symmetry properties. The present investigation is the first step in the study and characterization of possible anomalies involving fermionic tensor densities, particularly in purely fermionic three-point functions. © 2004 The American Physical Society. |
publishDate |
2004 |
dc.date.none.fl_str_mv |
2004-01-01 2022-04-29T08:44:55Z 2022-04-29T08:44:55Z |
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://dx.doi.org/10.1103/PhysRevD.70.065017 Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 70, n. 6, 2004. 1550-2368 1550-7998 http://hdl.handle.net/11449/231353 10.1103/PhysRevD.70.065017 2-s2.0-84927752502 |
url |
http://dx.doi.org/10.1103/PhysRevD.70.065017 http://hdl.handle.net/11449/231353 |
identifier_str_mv |
Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 70, n. 6, 2004. 1550-2368 1550-7998 10.1103/PhysRevD.70.065017 2-s2.0-84927752502 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review D - Particles, Fields, Gravitation and Cosmology |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128954268123136 |