Yang-Mills theory for non-semisimple groups

For semisimple groups, possibly multiplied by U(1)'s, the number of Yang-Mills gauge fields is equal to the number of generators of the group. In this paper, it is shown that, for non-semisimple groups, the number of Yang-Mills fields can be larger. These additional Yang-Mills fields are not ir...

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Detalles Bibliográficos
Autores principales: Nuyts, Jean, Wu, Tai Tsun
Lenguaje:eng
Publicado: 2002
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.67.025014
http://cds.cern.ch/record/587995
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author Nuyts, Jean
Wu, Tai Tsun
author_facet Nuyts, Jean
Wu, Tai Tsun
author_sort Nuyts, Jean
collection CERN
description For semisimple groups, possibly multiplied by U(1)'s, the number of Yang-Mills gauge fields is equal to the number of generators of the group. In this paper, it is shown that, for non-semisimple groups, the number of Yang-Mills fields can be larger. These additional Yang-Mills fields are not irrelevant because they appear in the gauge transformations of the original Yang-Mills fields. Such non-semisimple Yang-Mills theories may lead to physical consequences worth studying. The non-semisimple group with only two generators that do not commute is studied in detail.
id cern-587995
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
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spelling cern-5879952023-03-14T20:20:58Zdoi:10.1103/PhysRevD.67.025014http://cds.cern.ch/record/587995engNuyts, JeanWu, Tai TsunYang-Mills theory for non-semisimple groupsParticle Physics - TheoryFor semisimple groups, possibly multiplied by U(1)'s, the number of Yang-Mills gauge fields is equal to the number of generators of the group. In this paper, it is shown that, for non-semisimple groups, the number of Yang-Mills fields can be larger. These additional Yang-Mills fields are not irrelevant because they appear in the gauge transformations of the original Yang-Mills fields. Such non-semisimple Yang-Mills theories may lead to physical consequences worth studying. The non-semisimple group with only two generators that do not commute is studied in detail.For semisimple groups, possibly multiplied by U(1)'s, the number of Yang-Mills gauge fields is equal to the number of generators of the group. In this paper, it is shown that, for non-semisimple groups, the number of Yang-Mills fields can be larger. These additional Yang-Mills fields are not irrelevant because they appear in the gauge transformations of the original Yang-Mills fields. Such non-semisimple Yang-Mills theories may lead to physical consequences worth studying. The non-semisimple group with only two generators that do not commute is studied in detail.hep-th/0210214CERN-TH-2002-178CERN-TH-2002-178oai:cds.cern.ch:5879952002-10-22
spellingShingle Particle Physics - Theory
Nuyts, Jean
Wu, Tai Tsun
Yang-Mills theory for non-semisimple groups
title Yang-Mills theory for non-semisimple groups
title_full Yang-Mills theory for non-semisimple groups
title_fullStr Yang-Mills theory for non-semisimple groups
title_full_unstemmed Yang-Mills theory for non-semisimple groups
title_short Yang-Mills theory for non-semisimple groups
title_sort yang-mills theory for non-semisimple groups
topic Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevD.67.025014
http://cds.cern.ch/record/587995
work_keys_str_mv AT nuytsjean yangmillstheoryfornonsemisimplegroups
AT wutaitsun yangmillstheoryfornonsemisimplegroups

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