Classical fermion dynamics in presence of non abelian monopoles

Autores
Morano, Alejandro; Santillán, Osvaldo Pablo
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In the present letter, the dynamics of a spin one-half particle with non abelian charge, interacting with a non abelian monopole like configuration, is studied. In the non spinning case, these equations correspond to the Wong ones S Wong (1970, Il Nuovo Cimento LXV, 4 689), and the associated dynamics has been extensively investigated in I Alekseev (1988, Theoret. and Math. Phys. 77 1273), L G Feher (1984, Acta Physica Polonica 15 920). The classical limit of a spinning particle in an abelian was considered in A Davis and W Perkins (1989, Phys. Lett. B 228 37), where an interpretation of the celebrated Callan-Rubakov effect C G Callan (1982, Phys. Rev. D 26 2058); V A Rubakov (1982, Nucl. Phys. B 203 311), V A Rubakov and M S Serebryakov (1983, Nucl. Phys. B 218 240); V A Rubakov (1981, JETP Len. 33 644). was obtained in purely classical terms The present work studies an interpolating situation, in which spin and non abelian charges are turned on. The corresponding equations are obtaining by taking into account some earlier works about spinning particles N Linden, A Macfarlane and J van Holten Czechoslovak (1996, J. Phys. 46 209), A Barducci, R Casalbuoni and L Lusanna (1977, Nuclear Physics B 124 93, A P Balachandran Per Salomson, B -S Skagerstam, and J -O Winnberg (1977, Phys. Rev. D 15 2308). The conservation laws are studied in this context, and it is found that energy and some generalization of angular momentum are conserved just in particular limits. This is a reflection that the non abelian interaction contains gauge field quartic interaction, which spoils the symmetries leading to these conservation laws. The precession of the particle is analyzed and compared with its abelian counterpart in this limit.
Fil: Morano, Alejandro. Universidad de Buenos Aires; Argentina
Fil: Santillán, Osvaldo Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
CLASSICAL
CONSERVATION
LAWS
MONOPOLES
SCATTERING
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/231445

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spelling Classical fermion dynamics in presence of non abelian monopolesMorano, AlejandroSantillán, Osvaldo PabloCLASSICALCONSERVATIONLAWSMONOPOLESSCATTERINGhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In the present letter, the dynamics of a spin one-half particle with non abelian charge, interacting with a non abelian monopole like configuration, is studied. In the non spinning case, these equations correspond to the Wong ones S Wong (1970, Il Nuovo Cimento LXV, 4 689), and the associated dynamics has been extensively investigated in I Alekseev (1988, Theoret. and Math. Phys. 77 1273), L G Feher (1984, Acta Physica Polonica 15 920). The classical limit of a spinning particle in an abelian was considered in A Davis and W Perkins (1989, Phys. Lett. B 228 37), where an interpretation of the celebrated Callan-Rubakov effect C G Callan (1982, Phys. Rev. D 26 2058); V A Rubakov (1982, Nucl. Phys. B 203 311), V A Rubakov and M S Serebryakov (1983, Nucl. Phys. B 218 240); V A Rubakov (1981, JETP Len. 33 644). was obtained in purely classical terms The present work studies an interpolating situation, in which spin and non abelian charges are turned on. The corresponding equations are obtaining by taking into account some earlier works about spinning particles N Linden, A Macfarlane and J van Holten Czechoslovak (1996, J. Phys. 46 209), A Barducci, R Casalbuoni and L Lusanna (1977, Nuclear Physics B 124 93, A P Balachandran Per Salomson, B -S Skagerstam, and J -O Winnberg (1977, Phys. Rev. D 15 2308). The conservation laws are studied in this context, and it is found that energy and some generalization of angular momentum are conserved just in particular limits. This is a reflection that the non abelian interaction contains gauge field quartic interaction, which spoils the symmetries leading to these conservation laws. The precession of the particle is analyzed and compared with its abelian counterpart in this limit.Fil: Morano, Alejandro. Universidad de Buenos Aires; ArgentinaFil: Santillán, Osvaldo Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaIOP Publishing2023-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/231445Morano, Alejandro; Santillán, Osvaldo Pablo; Classical fermion dynamics in presence of non abelian monopoles; IOP Publishing; Physica Scripta; 98; 3; 2-2023; 1-140031-8949CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/1402-4896/acbb3binfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1402-4896/acbb3binfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:04:44Zoai:ri.conicet.gov.ar:11336/231445instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 12:04:44.961CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Classical fermion dynamics in presence of non abelian monopoles
title Classical fermion dynamics in presence of non abelian monopoles
spellingShingle Classical fermion dynamics in presence of non abelian monopoles
Morano, Alejandro
CLASSICAL
CONSERVATION
LAWS
MONOPOLES
SCATTERING
title_short Classical fermion dynamics in presence of non abelian monopoles
title_full Classical fermion dynamics in presence of non abelian monopoles
title_fullStr Classical fermion dynamics in presence of non abelian monopoles
title_full_unstemmed Classical fermion dynamics in presence of non abelian monopoles
title_sort Classical fermion dynamics in presence of non abelian monopoles
dc.creator.none.fl_str_mv Morano, Alejandro
Santillán, Osvaldo Pablo
author Morano, Alejandro
author_facet Morano, Alejandro
Santillán, Osvaldo Pablo
author_role author
author2 Santillán, Osvaldo Pablo
author2_role author
dc.subject.none.fl_str_mv CLASSICAL
CONSERVATION
LAWS
MONOPOLES
SCATTERING
topic CLASSICAL
CONSERVATION
LAWS
MONOPOLES
SCATTERING
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In the present letter, the dynamics of a spin one-half particle with non abelian charge, interacting with a non abelian monopole like configuration, is studied. In the non spinning case, these equations correspond to the Wong ones S Wong (1970, Il Nuovo Cimento LXV, 4 689), and the associated dynamics has been extensively investigated in I Alekseev (1988, Theoret. and Math. Phys. 77 1273), L G Feher (1984, Acta Physica Polonica 15 920). The classical limit of a spinning particle in an abelian was considered in A Davis and W Perkins (1989, Phys. Lett. B 228 37), where an interpretation of the celebrated Callan-Rubakov effect C G Callan (1982, Phys. Rev. D 26 2058); V A Rubakov (1982, Nucl. Phys. B 203 311), V A Rubakov and M S Serebryakov (1983, Nucl. Phys. B 218 240); V A Rubakov (1981, JETP Len. 33 644). was obtained in purely classical terms The present work studies an interpolating situation, in which spin and non abelian charges are turned on. The corresponding equations are obtaining by taking into account some earlier works about spinning particles N Linden, A Macfarlane and J van Holten Czechoslovak (1996, J. Phys. 46 209), A Barducci, R Casalbuoni and L Lusanna (1977, Nuclear Physics B 124 93, A P Balachandran Per Salomson, B -S Skagerstam, and J -O Winnberg (1977, Phys. Rev. D 15 2308). The conservation laws are studied in this context, and it is found that energy and some generalization of angular momentum are conserved just in particular limits. This is a reflection that the non abelian interaction contains gauge field quartic interaction, which spoils the symmetries leading to these conservation laws. The precession of the particle is analyzed and compared with its abelian counterpart in this limit.
Fil: Morano, Alejandro. Universidad de Buenos Aires; Argentina
Fil: Santillán, Osvaldo Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
description In the present letter, the dynamics of a spin one-half particle with non abelian charge, interacting with a non abelian monopole like configuration, is studied. In the non spinning case, these equations correspond to the Wong ones S Wong (1970, Il Nuovo Cimento LXV, 4 689), and the associated dynamics has been extensively investigated in I Alekseev (1988, Theoret. and Math. Phys. 77 1273), L G Feher (1984, Acta Physica Polonica 15 920). The classical limit of a spinning particle in an abelian was considered in A Davis and W Perkins (1989, Phys. Lett. B 228 37), where an interpretation of the celebrated Callan-Rubakov effect C G Callan (1982, Phys. Rev. D 26 2058); V A Rubakov (1982, Nucl. Phys. B 203 311), V A Rubakov and M S Serebryakov (1983, Nucl. Phys. B 218 240); V A Rubakov (1981, JETP Len. 33 644). was obtained in purely classical terms The present work studies an interpolating situation, in which spin and non abelian charges are turned on. The corresponding equations are obtaining by taking into account some earlier works about spinning particles N Linden, A Macfarlane and J van Holten Czechoslovak (1996, J. Phys. 46 209), A Barducci, R Casalbuoni and L Lusanna (1977, Nuclear Physics B 124 93, A P Balachandran Per Salomson, B -S Skagerstam, and J -O Winnberg (1977, Phys. Rev. D 15 2308). The conservation laws are studied in this context, and it is found that energy and some generalization of angular momentum are conserved just in particular limits. This is a reflection that the non abelian interaction contains gauge field quartic interaction, which spoils the symmetries leading to these conservation laws. The precession of the particle is analyzed and compared with its abelian counterpart in this limit.
publishDate 2023
dc.date.none.fl_str_mv 2023-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/231445
Morano, Alejandro; Santillán, Osvaldo Pablo; Classical fermion dynamics in presence of non abelian monopoles; IOP Publishing; Physica Scripta; 98; 3; 2-2023; 1-14
0031-8949
CONICET Digital
CONICET
url http://hdl.handle.net/11336/231445
identifier_str_mv Morano, Alejandro; Santillán, Osvaldo Pablo; Classical fermion dynamics in presence of non abelian monopoles; IOP Publishing; Physica Scripta; 98; 3; 2-2023; 1-14
0031-8949
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
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dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
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dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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