Self-reciprocal fermion mass ratios from massless QED with curved momentum space
Autor(a) principal: | |
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Data de Publicação: | 2000 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/141135 |
Resumo: | The present investigation is an attempt to understand the fermion mass ratios in the framework of QED of charged fermions without a bare mass. Since QED of massless charged fermions is invariant under the dilatation transformation, this symmetry has to be spontaneously broken to obtain massive fermions. In the proposed model we combine a mass-scale normalisation with the renormalisation procedure, assuming the fermion momentum space being a four-dimensional one-shell hyperboloid embedded in a five-dimensional space. The hyperboloid constrains the allowed fermion field solutions. We construct the theory in the conventional way using equal time anti-commutator and the Lagrangian formalism. Starting from the Dyson–Schwinger equation for fermion propagator in the Landau gauge, we derive the fermion mass function and self-reciprocal solutions for the mass ratios, which are independent of any constant. |
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Bodmann, Bardo Ernst JosefMaris, Theodor August Johannes2016-05-14T02:08:26Z20000370-2693http://hdl.handle.net/10183/141135000291414The present investigation is an attempt to understand the fermion mass ratios in the framework of QED of charged fermions without a bare mass. Since QED of massless charged fermions is invariant under the dilatation transformation, this symmetry has to be spontaneously broken to obtain massive fermions. In the proposed model we combine a mass-scale normalisation with the renormalisation procedure, assuming the fermion momentum space being a four-dimensional one-shell hyperboloid embedded in a five-dimensional space. The hyperboloid constrains the allowed fermion field solutions. We construct the theory in the conventional way using equal time anti-commutator and the Lagrangian formalism. Starting from the Dyson–Schwinger equation for fermion propagator in the Landau gauge, we derive the fermion mass function and self-reciprocal solutions for the mass ratios, which are independent of any constant.application/pdfengPhysics letters. B. Amsterdam. Vol. 495, no. 1/2 (Dec. 2000), p. 98-104FísicaCurved energy–momentum spaceFermion mass ratiosSelf-reciprocal fermion mass ratios from massless QED with curved momentum spaceEstrangeiroinfo: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:UFRGSORIGINAL000291414.pdf000291414.pdfTexto completo (inglês)application/pdf141824http://www.lume.ufrgs.br/bitstream/10183/141135/1/000291414.pdf9fa6be5efffee26161914b4013698549MD51TEXT000291414.pdf.txt000291414.pdf.txtExtracted Texttext/plain24646http://www.lume.ufrgs.br/bitstream/10183/141135/2/000291414.pdf.txtb4fd691887960b5145651da8cb51de5eMD52THUMBNAIL000291414.pdf.jpg000291414.pdf.jpgGenerated Thumbnailimage/jpeg1738http://www.lume.ufrgs.br/bitstream/10183/141135/3/000291414.pdf.jpgd64b3d677f35c6c4f086e2354dbf1834MD5310183/1411352018-10-25 09:51:38.264oai:www.lume.ufrgs.br:10183/141135Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2018-10-25T12:51:38Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Self-reciprocal fermion mass ratios from massless QED with curved momentum space |
title |
Self-reciprocal fermion mass ratios from massless QED with curved momentum space |
spellingShingle |
Self-reciprocal fermion mass ratios from massless QED with curved momentum space Bodmann, Bardo Ernst Josef Física Curved energy–momentum space Fermion mass ratios |
title_short |
Self-reciprocal fermion mass ratios from massless QED with curved momentum space |
title_full |
Self-reciprocal fermion mass ratios from massless QED with curved momentum space |
title_fullStr |
Self-reciprocal fermion mass ratios from massless QED with curved momentum space |
title_full_unstemmed |
Self-reciprocal fermion mass ratios from massless QED with curved momentum space |
title_sort |
Self-reciprocal fermion mass ratios from massless QED with curved momentum space |
author |
Bodmann, Bardo Ernst Josef |
author_facet |
Bodmann, Bardo Ernst Josef Maris, Theodor August Johannes |
author_role |
author |
author2 |
Maris, Theodor August Johannes |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Bodmann, Bardo Ernst Josef Maris, Theodor August Johannes |
dc.subject.por.fl_str_mv |
Física |
topic |
Física Curved energy–momentum space Fermion mass ratios |
dc.subject.eng.fl_str_mv |
Curved energy–momentum space Fermion mass ratios |
description |
The present investigation is an attempt to understand the fermion mass ratios in the framework of QED of charged fermions without a bare mass. Since QED of massless charged fermions is invariant under the dilatation transformation, this symmetry has to be spontaneously broken to obtain massive fermions. In the proposed model we combine a mass-scale normalisation with the renormalisation procedure, assuming the fermion momentum space being a four-dimensional one-shell hyperboloid embedded in a five-dimensional space. The hyperboloid constrains the allowed fermion field solutions. We construct the theory in the conventional way using equal time anti-commutator and the Lagrangian formalism. Starting from the Dyson–Schwinger equation for fermion propagator in the Landau gauge, we derive the fermion mass function and self-reciprocal solutions for the mass ratios, which are independent of any constant. |
publishDate |
2000 |
dc.date.issued.fl_str_mv |
2000 |
dc.date.accessioned.fl_str_mv |
2016-05-14T02:08:26Z |
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/10183/141135 |
dc.identifier.issn.pt_BR.fl_str_mv |
0370-2693 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000291414 |
identifier_str_mv |
0370-2693 000291414 |
url |
http://hdl.handle.net/10183/141135 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Physics letters. B. Amsterdam. Vol. 495, no. 1/2 (Dec. 2000), p. 98-104 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
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Repositório Institucional da UFRGS |
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