Quantum dynamics of chiral fermions in a model with anomalous breaking of gauge invariance
Autor(a) principal: | |
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Data de Publicação: | 1986 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/103631 |
Resumo: | We study the quantum dynamics of chiral fermion fields minimally coupled to a gauge field. The model, originally proposed by Jackiw and Rajaraman, is known to exhibit the anomalous breaking of gauge invariance, which leads to the appearance of an arbitrary parameter a. Both functional and operator techniques are used to obtain the two-point fermion Green's functions for a > 1 and a =1. In both cases clustering holds, and the theory contains asymptotically free fermions. The quantum equation of motion for the field tensor resembles formally that of the Proca theory, but with a dynamically generated mass and a nonconserved source. It is found that for a =1 the generating functional cannot be written in terms of a manifestly Lorentz-invariant Lagrangian. |
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Girotti, Horacio OscarRothe, Heinz J.Rothe, Klaus D.2014-09-23T02:12:28Z19860556-2821http://hdl.handle.net/10183/103631000112982We study the quantum dynamics of chiral fermion fields minimally coupled to a gauge field. The model, originally proposed by Jackiw and Rajaraman, is known to exhibit the anomalous breaking of gauge invariance, which leads to the appearance of an arbitrary parameter a. Both functional and operator techniques are used to obtain the two-point fermion Green's functions for a > 1 and a =1. In both cases clustering holds, and the theory contains asymptotically free fermions. The quantum equation of motion for the field tensor resembles formally that of the Proca theory, but with a dynamically generated mass and a nonconserved source. It is found that for a =1 the generating functional cannot be written in terms of a manifestly Lorentz-invariant Lagrangian.application/pdfengPhysical review. D, Particles and fields. Woodbury. Vol. 34, no. 2 (July 1986), p. 592-597Fisica de particulas elementares e camposTeoria de calibresMetodos de funcoes de green : FermionsQuantizacao : Sistemas de fermionQuantum dynamics of chiral fermions in a model with anomalous breaking of gauge invarianceEstrangeiroinfo: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:UFRGSTEXT000112982.pdf.txt000112982.pdf.txtExtracted Texttext/plain20561http://www.lume.ufrgs.br/bitstream/10183/103631/2/000112982.pdf.txt3b19c3d04c13320ebf55cdfb0df2c0faMD52ORIGINAL000112982.pdf000112982.pdfTexto completo (inglês)application/pdf594285http://www.lume.ufrgs.br/bitstream/10183/103631/1/000112982.pdffa978859aedf92e37f9b88478c362538MD51THUMBNAIL000112982.pdf.jpg000112982.pdf.jpgGenerated Thumbnailimage/jpeg2123http://www.lume.ufrgs.br/bitstream/10183/103631/3/000112982.pdf.jpgdc27d5d460c6b1972ca849d7344e5dbbMD5310183/1036312023-08-02 03:31:51.983687oai:www.lume.ufrgs.br:10183/103631Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-08-02T06:31:51Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Quantum dynamics of chiral fermions in a model with anomalous breaking of gauge invariance |
title |
Quantum dynamics of chiral fermions in a model with anomalous breaking of gauge invariance |
spellingShingle |
Quantum dynamics of chiral fermions in a model with anomalous breaking of gauge invariance Girotti, Horacio Oscar Fisica de particulas elementares e campos Teoria de calibres Metodos de funcoes de green : Fermions Quantizacao : Sistemas de fermion |
title_short |
Quantum dynamics of chiral fermions in a model with anomalous breaking of gauge invariance |
title_full |
Quantum dynamics of chiral fermions in a model with anomalous breaking of gauge invariance |
title_fullStr |
Quantum dynamics of chiral fermions in a model with anomalous breaking of gauge invariance |
title_full_unstemmed |
Quantum dynamics of chiral fermions in a model with anomalous breaking of gauge invariance |
title_sort |
Quantum dynamics of chiral fermions in a model with anomalous breaking of gauge invariance |
author |
Girotti, Horacio Oscar |
author_facet |
Girotti, Horacio Oscar Rothe, Heinz J. Rothe, Klaus D. |
author_role |
author |
author2 |
Rothe, Heinz J. Rothe, Klaus D. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Girotti, Horacio Oscar Rothe, Heinz J. Rothe, Klaus D. |
dc.subject.por.fl_str_mv |
Fisica de particulas elementares e campos Teoria de calibres Metodos de funcoes de green : Fermions Quantizacao : Sistemas de fermion |
topic |
Fisica de particulas elementares e campos Teoria de calibres Metodos de funcoes de green : Fermions Quantizacao : Sistemas de fermion |
description |
We study the quantum dynamics of chiral fermion fields minimally coupled to a gauge field. The model, originally proposed by Jackiw and Rajaraman, is known to exhibit the anomalous breaking of gauge invariance, which leads to the appearance of an arbitrary parameter a. Both functional and operator techniques are used to obtain the two-point fermion Green's functions for a > 1 and a =1. In both cases clustering holds, and the theory contains asymptotically free fermions. The quantum equation of motion for the field tensor resembles formally that of the Proca theory, but with a dynamically generated mass and a nonconserved source. It is found that for a =1 the generating functional cannot be written in terms of a manifestly Lorentz-invariant Lagrangian. |
publishDate |
1986 |
dc.date.issued.fl_str_mv |
1986 |
dc.date.accessioned.fl_str_mv |
2014-09-23T02:12:28Z |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10183/103631 |
dc.identifier.issn.pt_BR.fl_str_mv |
0556-2821 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000112982 |
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0556-2821 000112982 |
url |
http://hdl.handle.net/10183/103631 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Physical review. D, Particles and fields. Woodbury. Vol. 34, no. 2 (July 1986), p. 592-597 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
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