Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)

The gauge symmetry of the Standard Model is SU(3)_(c) x SU(2)_(L) x U(1)_(Y) for unknown reasons. One aspect that can be addressed is the low dimensionality of all its subgroups. Why not much larger groups like SU(7), or for that matter, SP(38) or E7? We observe that fermions charged under large gro...

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Detalles Bibliográficos
Autores: García Fernández, Guillermo, Guerrero Rojas, Jesús, Llanes Estrada, Felipe José
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/17751
Acceso en línea:https://hdl.handle.net/20.500.14352/17751
Access Level:acceso abierto
Palabra clave:53
Chiral-symmetry-breaking
Feynman diagrams
Vertex
Qcd
Física (Física)
22 Física
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oai_identifier_str oai:docta.ucm.es:20.500.14352/17751
network_acronym_str ES
network_name_str España
repository_id_str
spelling Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)García Fernández, GuillermoGuerrero Rojas, JesúsLlanes Estrada, Felipe José53Chiral-symmetry-breakingFeynman diagramsVertexQcdFísica (Física)22 FísicaThe gauge symmetry of the Standard Model is SU(3)_(c) x SU(2)_(L) x U(1)_(Y) for unknown reasons. One aspect that can be addressed is the low dimensionality of all its subgroups. Why not much larger groups like SU(7), or for that matter, SP(38) or E7? We observe that fermions charged under large groups acquire much bigger dynamical masses, all things being equal at a high e.g. GUT scale, than ordinary quarks. Should such multicharged fermions exist, they are too heavy to be observed today and have either decayed early on (if they couple to the rest of the Standard Model) or become reliquial dark matter (if they don't). The result follows from strong antiscreening of the running coupling for those larger groups (with an appropriately small number of flavors) together with scaling properties of the Dyson-Schwinger equation for the fermion mass.ElsevierUniversidad Complutense de Madrid20172017-02-0120172017-02-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/17751reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/177512026-06-02T12:44:21Z
dc.title.none.fl_str_mv Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
title Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
spellingShingle Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
García Fernández, Guillermo
53
Chiral-symmetry-breaking
Feynman diagrams
Vertex
Qcd
Física (Física)
22 Física
title_short Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
title_full Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
title_fullStr Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
title_full_unstemmed Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
title_sort Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
dc.creator.none.fl_str_mv García Fernández, Guillermo
Guerrero Rojas, Jesús
Llanes Estrada, Felipe José
author García Fernández, Guillermo
author_facet García Fernández, Guillermo
Guerrero Rojas, Jesús
Llanes Estrada, Felipe José
author_role author
author2 Guerrero Rojas, Jesús
Llanes Estrada, Felipe José
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 53
Chiral-symmetry-breaking
Feynman diagrams
Vertex
Qcd
Física (Física)
22 Física
topic 53
Chiral-symmetry-breaking
Feynman diagrams
Vertex
Qcd
Física (Física)
22 Física
description The gauge symmetry of the Standard Model is SU(3)_(c) x SU(2)_(L) x U(1)_(Y) for unknown reasons. One aspect that can be addressed is the low dimensionality of all its subgroups. Why not much larger groups like SU(7), or for that matter, SP(38) or E7? We observe that fermions charged under large groups acquire much bigger dynamical masses, all things being equal at a high e.g. GUT scale, than ordinary quarks. Should such multicharged fermions exist, they are too heavy to be observed today and have either decayed early on (if they couple to the rest of the Standard Model) or become reliquial dark matter (if they don't). The result follows from strong antiscreening of the running coupling for those larger groups (with an appropriately small number of flavors) together with scaling properties of the Dyson-Schwinger equation for the fermion mass.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-02-01
2017
2017-02-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/17751
url https://hdl.handle.net/20.500.14352/17751
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869423514396655616
score 15,301603

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