Regularizations: Different prescriptions for identical situations
Autor(a) principal: | |
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Data de Publicação: | 2005 |
Outros Autores: | , , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1590/S0103-97332005000300031 http://hdl.handle.net/11449/231023 |
Resumo: | We present a discussion where the choice of the regularization procedure and the routing for the internal lines momenta are put at the same level of arbitrariness in the analysis of Ward identities involving simple and well-known problems in quantum field theory. They are the complex self-interacting scalar field and two simple models where the scalar-vector-vector and axial-vector-vector process are pertinent. We show that, in all these problems, the conditions to symmetry relations preservation are put in terms of the same combination of divergent Feynman integrals, which are evaluated in the context of a very general calculational strategy, concerning the manipulations and calculations involving divergences. Within the adopted strategy, all the arbitrariness intrinsic to the problem are still maintained in the final results and, consequently, a perfect map can be obtained with the corresponding results of traditional regularization techniques. We show that, when we require an universal interpretation for the arbitrariness involved, in order to get consistency with all stated physical constraints, a strong condition is imposed for regularizations which automatically eliminates the ambiguities associated to the routing of the internal lines momenta of loops. The conclusion is clean and sound: the association between ambiguities and unavoidable symmetry violations in Ward identities cannot be maintained if an unique prescription is required for identical situations in the evaluation of divergent physical amplitudes. |
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Regularizations: Different prescriptions for identical situationsWe present a discussion where the choice of the regularization procedure and the routing for the internal lines momenta are put at the same level of arbitrariness in the analysis of Ward identities involving simple and well-known problems in quantum field theory. They are the complex self-interacting scalar field and two simple models where the scalar-vector-vector and axial-vector-vector process are pertinent. We show that, in all these problems, the conditions to symmetry relations preservation are put in terms of the same combination of divergent Feynman integrals, which are evaluated in the context of a very general calculational strategy, concerning the manipulations and calculations involving divergences. Within the adopted strategy, all the arbitrariness intrinsic to the problem are still maintained in the final results and, consequently, a perfect map can be obtained with the corresponding results of traditional regularization techniques. We show that, when we require an universal interpretation for the arbitrariness involved, in order to get consistency with all stated physical constraints, a strong condition is imposed for regularizations which automatically eliminates the ambiguities associated to the routing of the internal lines momenta of loops. The conclusion is clean and sound: the association between ambiguities and unavoidable symmetry violations in Ward identities cannot be maintained if an unique prescription is required for identical situations in the evaluation of divergent physical amplitudes.Dept. of Physics Universidade Federal de Santa Maria, P.O. Box 5043, 97119-900, Santa Maria, RSInstituto de Física Teórica, Rua Pamplona, 145, 01405-900, São Paulo, SPUniversidade Federal de Santa MariaInstituto de Física TeóricaGambin, E.Lobo, C. O.Dallabona, G.Battistel, O. A.2022-04-29T08:43:16Z2022-04-29T08:43:16Z2005-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject565-578http://dx.doi.org/10.1590/S0103-97332005000300031Brazilian Journal of Physics, v. 35, n. 2 B, p. 565-578, 2005.0103-9733http://hdl.handle.net/11449/23102310.1590/S0103-973320050003000312-s2.0-33750060310Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBrazilian Journal of Physicsinfo:eu-repo/semantics/openAccess2022-04-29T08:43:16Zoai:repositorio.unesp.br:11449/231023Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:17:04.238693Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Regularizations: Different prescriptions for identical situations |
title |
Regularizations: Different prescriptions for identical situations |
spellingShingle |
Regularizations: Different prescriptions for identical situations Gambin, E. |
title_short |
Regularizations: Different prescriptions for identical situations |
title_full |
Regularizations: Different prescriptions for identical situations |
title_fullStr |
Regularizations: Different prescriptions for identical situations |
title_full_unstemmed |
Regularizations: Different prescriptions for identical situations |
title_sort |
Regularizations: Different prescriptions for identical situations |
author |
Gambin, E. |
author_facet |
Gambin, E. Lobo, C. O. Dallabona, G. Battistel, O. A. |
author_role |
author |
author2 |
Lobo, C. O. Dallabona, G. Battistel, O. A. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Federal de Santa Maria Instituto de Física Teórica |
dc.contributor.author.fl_str_mv |
Gambin, E. Lobo, C. O. Dallabona, G. Battistel, O. A. |
description |
We present a discussion where the choice of the regularization procedure and the routing for the internal lines momenta are put at the same level of arbitrariness in the analysis of Ward identities involving simple and well-known problems in quantum field theory. They are the complex self-interacting scalar field and two simple models where the scalar-vector-vector and axial-vector-vector process are pertinent. We show that, in all these problems, the conditions to symmetry relations preservation are put in terms of the same combination of divergent Feynman integrals, which are evaluated in the context of a very general calculational strategy, concerning the manipulations and calculations involving divergences. Within the adopted strategy, all the arbitrariness intrinsic to the problem are still maintained in the final results and, consequently, a perfect map can be obtained with the corresponding results of traditional regularization techniques. We show that, when we require an universal interpretation for the arbitrariness involved, in order to get consistency with all stated physical constraints, a strong condition is imposed for regularizations which automatically eliminates the ambiguities associated to the routing of the internal lines momenta of loops. The conclusion is clean and sound: the association between ambiguities and unavoidable symmetry violations in Ward identities cannot be maintained if an unique prescription is required for identical situations in the evaluation of divergent physical amplitudes. |
publishDate |
2005 |
dc.date.none.fl_str_mv |
2005-01-01 2022-04-29T08:43:16Z 2022-04-29T08:43:16Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1590/S0103-97332005000300031 Brazilian Journal of Physics, v. 35, n. 2 B, p. 565-578, 2005. 0103-9733 http://hdl.handle.net/11449/231023 10.1590/S0103-97332005000300031 2-s2.0-33750060310 |
url |
http://dx.doi.org/10.1590/S0103-97332005000300031 http://hdl.handle.net/11449/231023 |
identifier_str_mv |
Brazilian Journal of Physics, v. 35, n. 2 B, p. 565-578, 2005. 0103-9733 10.1590/S0103-97332005000300031 2-s2.0-33750060310 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Brazilian Journal of Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
565-578 |
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 |
|
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1808128340229357568 |