Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED/sub 4/
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 UFRGS |
Texto Completo: | http://hdl.handle.net/10183/104019 |
Resumo: | Commutative supersymmetric Yang-Mills is known to be renormalizable for N51,2, while finite for N 54. However, in the noncommutative version of the model (NCSQED4) the UV-IR mechanism gives rise to infrared divergences which may spoil the perturbative expansion. In this work we pursue the study of the consistency of NCSQED4 by working systematically within the covariant superfield formulation. In the Landau gauge, it has already been shown for N51 that the gauge field two-point function is free of harmful UV-IR infrared singularities, in the one-loop approximation. Here we show that this result holds without restrictions on the number of allowed supersymmetries and for any arbitrary covariant gauge. We also investigate the divergence structure of the gauge field three-point function in the one-loop approximation. It is first proved that the cancellation of the leading UV-IR infrared divergences is a gauge invariant statement. Surprisingly, we have also found that there exist subleading harmful UV-IR infrared singularities whose cancellation only takes place in a particular covariant gauge. Thus we conclude that these last mentioned singularities are in the gauge sector and, therefore, do not jeopardize the perturbative expansion and/or the renormalization of the theory. |
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Ferrari, Alysson FábioGirotti, Horacio OscarGomes, MarceloPetrov, Albert Yu.Ribeiro, Anderson Andre Genro AlvesRivelles, Victor O.Silva, Adilson J. da2014-10-01T02:10:48Z20041550-7998http://hdl.handle.net/10183/104019000400350Commutative supersymmetric Yang-Mills is known to be renormalizable for N51,2, while finite for N 54. However, in the noncommutative version of the model (NCSQED4) the UV-IR mechanism gives rise to infrared divergences which may spoil the perturbative expansion. In this work we pursue the study of the consistency of NCSQED4 by working systematically within the covariant superfield formulation. In the Landau gauge, it has already been shown for N51 that the gauge field two-point function is free of harmful UV-IR infrared singularities, in the one-loop approximation. Here we show that this result holds without restrictions on the number of allowed supersymmetries and for any arbitrary covariant gauge. We also investigate the divergence structure of the gauge field three-point function in the one-loop approximation. It is first proved that the cancellation of the leading UV-IR infrared divergences is a gauge invariant statement. Surprisingly, we have also found that there exist subleading harmful UV-IR infrared singularities whose cancellation only takes place in a particular covariant gauge. Thus we conclude that these last mentioned singularities are in the gauge sector and, therefore, do not jeopardize the perturbative expansion and/or the renormalization of the theory.application/pdfengPhysical review. D, Particles, fields, gravitation, and cosmology. College Park. Vol. 69, no. 2 (Jan. 2004), 025008 15p.Eletrodinamica quanticaRenormalizacaoSuperfield covariant analysis of the divergence structure of noncommutative supersymmetric QED/sub 4/Estrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000400350.pdf000400350.pdfTexto completo (inglês)application/pdf189840http://www.lume.ufrgs.br/bitstream/10183/104019/1/000400350.pdf1d99907691ca24a787a707a523c53d94MD51TEXT000400350.pdf.txt000400350.pdf.txtExtracted Texttext/plain41817http://www.lume.ufrgs.br/bitstream/10183/104019/2/000400350.pdf.txtde3e5f6333c6e372bb71aa088fd37657MD52THUMBNAIL000400350.pdf.jpg000400350.pdf.jpgGenerated Thumbnailimage/jpeg1930http://www.lume.ufrgs.br/bitstream/10183/104019/3/000400350.pdf.jpg5a0a4d3af99d7a593082faf82a421d90MD5310183/1040192023-08-02 03:33:00.619521oai:www.lume.ufrgs.br:10183/104019Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-08-02T06:33Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED/sub 4/ |
title |
Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED/sub 4/ |
spellingShingle |
Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED/sub 4/ Ferrari, Alysson Fábio Eletrodinamica quantica Renormalizacao |
title_short |
Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED/sub 4/ |
title_full |
Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED/sub 4/ |
title_fullStr |
Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED/sub 4/ |
title_full_unstemmed |
Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED/sub 4/ |
title_sort |
Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED/sub 4/ |
author |
Ferrari, Alysson Fábio |
author_facet |
Ferrari, Alysson Fábio Girotti, Horacio Oscar Gomes, Marcelo Petrov, Albert Yu. Ribeiro, Anderson Andre Genro Alves Rivelles, Victor O. Silva, Adilson J. da |
author_role |
author |
author2 |
Girotti, Horacio Oscar Gomes, Marcelo Petrov, Albert Yu. Ribeiro, Anderson Andre Genro Alves Rivelles, Victor O. Silva, Adilson J. da |
author2_role |
author author author author author author |
dc.contributor.author.fl_str_mv |
Ferrari, Alysson Fábio Girotti, Horacio Oscar Gomes, Marcelo Petrov, Albert Yu. Ribeiro, Anderson Andre Genro Alves Rivelles, Victor O. Silva, Adilson J. da |
dc.subject.por.fl_str_mv |
Eletrodinamica quantica Renormalizacao |
topic |
Eletrodinamica quantica Renormalizacao |
description |
Commutative supersymmetric Yang-Mills is known to be renormalizable for N51,2, while finite for N 54. However, in the noncommutative version of the model (NCSQED4) the UV-IR mechanism gives rise to infrared divergences which may spoil the perturbative expansion. In this work we pursue the study of the consistency of NCSQED4 by working systematically within the covariant superfield formulation. In the Landau gauge, it has already been shown for N51 that the gauge field two-point function is free of harmful UV-IR infrared singularities, in the one-loop approximation. Here we show that this result holds without restrictions on the number of allowed supersymmetries and for any arbitrary covariant gauge. We also investigate the divergence structure of the gauge field three-point function in the one-loop approximation. It is first proved that the cancellation of the leading UV-IR infrared divergences is a gauge invariant statement. Surprisingly, we have also found that there exist subleading harmful UV-IR infrared singularities whose cancellation only takes place in a particular covariant gauge. Thus we conclude that these last mentioned singularities are in the gauge sector and, therefore, do not jeopardize the perturbative expansion and/or the renormalization of the theory. |
publishDate |
2004 |
dc.date.issued.fl_str_mv |
2004 |
dc.date.accessioned.fl_str_mv |
2014-10-01T02:10:48Z |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
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1550-7998 |
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000400350 |
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eng |
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dc.relation.ispartof.pt_BR.fl_str_mv |
Physical review. D, Particles, fields, gravitation, and cosmology. College Park. Vol. 69, no. 2 (Jan. 2004), 025008 15p. |
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openAccess |
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