Inconsistency of the ‘spin-3/2 gauge invariant’ interaction of Rarita–Schwinger fields

Autores
Badagnani, Daniel Omar; Mariano, Alejandro Edgardo; Barbero, César Alberto
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We perform the Dirac quantization of Rarita–Schwinger fields interacting with a spinor and the first derivative of a pseudoscalar field. We achieve the calculations for two forms of this interaction: first we review the conventional coupling of lowest derivative order, reproducing the well known inconsistencies in its anticommutator algebra. Then, we perform the analysis on the next order term popularly known as ‘spin-3/2 gauge invariant interaction’, which is claimed to be free of these inconsistencies. Nevertheless we find that the direct application of the Dirac formalism leads to inconsistencies in complete analogy to the previous case. This is of high relevance in the particle phenomenology field, where these interactions are used to interpret experimental data involving D(1232) resonances.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Física
Constraints
Dirac brackets
positive nondefinite metric
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/108063
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/108063
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network_name_str SEDICI (UNLP)
spelling Inconsistency of the ‘spin-3/2 gauge invariant’ interaction of Rarita–Schwinger fieldsBadagnani, Daniel OmarMariano, Alejandro EdgardoBarbero, César AlbertoCiencias ExactasFísicaConstraintsDirac bracketspositive nondefinite metricWe perform the Dirac quantization of Rarita–Schwinger fields interacting with a spinor and the first derivative of a pseudoscalar field. We achieve the calculations for two forms of this interaction: first we review the conventional coupling of lowest derivative order, reproducing the well known inconsistencies in its anticommutator algebra. Then, we perform the analysis on the next order term popularly known as ‘spin-3/2 gauge invariant interaction’, which is claimed to be free of these inconsistencies. Nevertheless we find that the direct application of the Dirac formalism leads to inconsistencies in complete analogy to the previous case. This is of high relevance in the particle phenomenology field, where these interactions are used to interpret experimental data involving D(1232) resonances.Facultad de Ciencias Exactas2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/108063enginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1361-6471/44/2/025001info:eu-repo/semantics/altIdentifier/issn/1361-6471info:eu-repo/semantics/altIdentifier/doi/10.1088/1361-6471/44/2/025001info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:05:25Zoai:sedici.unlp.edu.ar:10915/108063Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:05:25.707SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Inconsistency of the ‘spin-3/2 gauge invariant’ interaction of Rarita–Schwinger fields
title Inconsistency of the ‘spin-3/2 gauge invariant’ interaction of Rarita–Schwinger fields
spellingShingle Inconsistency of the ‘spin-3/2 gauge invariant’ interaction of Rarita–Schwinger fields
Badagnani, Daniel Omar
Ciencias Exactas
Física
Constraints
Dirac brackets
positive nondefinite metric
title_short Inconsistency of the ‘spin-3/2 gauge invariant’ interaction of Rarita–Schwinger fields
title_full Inconsistency of the ‘spin-3/2 gauge invariant’ interaction of Rarita–Schwinger fields
title_fullStr Inconsistency of the ‘spin-3/2 gauge invariant’ interaction of Rarita–Schwinger fields
title_full_unstemmed Inconsistency of the ‘spin-3/2 gauge invariant’ interaction of Rarita–Schwinger fields
title_sort Inconsistency of the ‘spin-3/2 gauge invariant’ interaction of Rarita–Schwinger fields
dc.creator.none.fl_str_mv Badagnani, Daniel Omar
Mariano, Alejandro Edgardo
Barbero, César Alberto
author Badagnani, Daniel Omar
author_facet Badagnani, Daniel Omar
Mariano, Alejandro Edgardo
Barbero, César Alberto
author_role author
author2 Mariano, Alejandro Edgardo
Barbero, César Alberto
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Constraints
Dirac brackets
positive nondefinite metric
topic Ciencias Exactas
Física
Constraints
Dirac brackets
positive nondefinite metric
dc.description.none.fl_txt_mv We perform the Dirac quantization of Rarita–Schwinger fields interacting with a spinor and the first derivative of a pseudoscalar field. We achieve the calculations for two forms of this interaction: first we review the conventional coupling of lowest derivative order, reproducing the well known inconsistencies in its anticommutator algebra. Then, we perform the analysis on the next order term popularly known as ‘spin-3/2 gauge invariant interaction’, which is claimed to be free of these inconsistencies. Nevertheless we find that the direct application of the Dirac formalism leads to inconsistencies in complete analogy to the previous case. This is of high relevance in the particle phenomenology field, where these interactions are used to interpret experimental data involving D(1232) resonances.
Facultad de Ciencias Exactas
description We perform the Dirac quantization of Rarita–Schwinger fields interacting with a spinor and the first derivative of a pseudoscalar field. We achieve the calculations for two forms of this interaction: first we review the conventional coupling of lowest derivative order, reproducing the well known inconsistencies in its anticommutator algebra. Then, we perform the analysis on the next order term popularly known as ‘spin-3/2 gauge invariant interaction’, which is claimed to be free of these inconsistencies. Nevertheless we find that the direct application of the Dirac formalism leads to inconsistencies in complete analogy to the previous case. This is of high relevance in the particle phenomenology field, where these interactions are used to interpret experimental data involving D(1232) resonances.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/108063
url http://sedici.unlp.edu.ar/handle/10915/108063
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1361-6471/44/2/025001
info:eu-repo/semantics/altIdentifier/issn/1361-6471
info:eu-repo/semantics/altIdentifier/doi/10.1088/1361-6471/44/2/025001
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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