Consistence between πn Δ spin-3/2 gauge couplings and electromagnetic gauge invariance

Autores
Badagnani, Daniel; Barbero, César Alberto; Mariano, Alejandro Edgardo
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We review the consistency between the recently proposed spin-3/2 gauge interaction for Δ resonance with nucleons (N) and pions (π), and the fundamental electromagnetic gauge invariance in any radiative amplitude. We show that: (1) the electromagnetic interaction introduced through minimal substitution in all derivatives breaks the spin-3/2 gauge invariance; (2) radiative corrections (in general not zero for any effective Lagrangian theory) of the spin-3/2 gauge strong vertexes at one loop reintroduce the conventional π derivative interaction. In fact, analyzing elastic and radiative scattering amplitude, we show that chiral symmetric π-derivative couplings can be substituted through a linear transformation to get Δ-derivative ones, which have the property of decoupling the 1/2 field components of the Δ propagator, plus contact terms where the Δ-field is absent. One could intend to apply new transformations (now linear and nonlinear) to restore this property in the radiative case, but the electromagnetic gauge invariance does not survive and nonlinear transformations generate an infinite number of Δ-field terms in the Lagrangian. We conclude that we can only content ourselves to fulfil approximately the electromagnetic gauge invariance at a given order n without destroying the spin-3/2 one, by dropping n + 1 order terms within an effective field theory framework, where the 'order n' is defined as a power counting expansion applicable only in the resonance region. In addition, we show that the Ward identity for the vertex cannot be fulfilled with a trimmed 3/2 propagator - added ad hoc by some authors with the intention of avoiding 1/2 propagation in the radiative case for the amplitude.
Fil: Badagnani, Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Barbero, César Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Mariano, Alejandro Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
DELTA
GAUGE
NUCLEON
PION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/54207
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/54207
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Consistence between πn Δ spin-3/2 gauge couplings and electromagnetic gauge invarianceBadagnani, DanielBarbero, César AlbertoMariano, Alejandro EdgardoDELTAGAUGENUCLEONPIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We review the consistency between the recently proposed spin-3/2 gauge interaction for Δ resonance with nucleons (N) and pions (π), and the fundamental electromagnetic gauge invariance in any radiative amplitude. We show that: (1) the electromagnetic interaction introduced through minimal substitution in all derivatives breaks the spin-3/2 gauge invariance; (2) radiative corrections (in general not zero for any effective Lagrangian theory) of the spin-3/2 gauge strong vertexes at one loop reintroduce the conventional π derivative interaction. In fact, analyzing elastic and radiative scattering amplitude, we show that chiral symmetric π-derivative couplings can be substituted through a linear transformation to get Δ-derivative ones, which have the property of decoupling the 1/2 field components of the Δ propagator, plus contact terms where the Δ-field is absent. One could intend to apply new transformations (now linear and nonlinear) to restore this property in the radiative case, but the electromagnetic gauge invariance does not survive and nonlinear transformations generate an infinite number of Δ-field terms in the Lagrangian. We conclude that we can only content ourselves to fulfil approximately the electromagnetic gauge invariance at a given order n without destroying the spin-3/2 one, by dropping n + 1 order terms within an effective field theory framework, where the 'order n' is defined as a power counting expansion applicable only in the resonance region. In addition, we show that the Ward identity for the vertex cannot be fulfilled with a trimmed 3/2 propagator - added ad hoc by some authors with the intention of avoiding 1/2 propagation in the radiative case for the amplitude.Fil: Badagnani, Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Barbero, César Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Mariano, Alejandro Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaIOP Publishing2015-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/54207Badagnani, Daniel; Barbero, César Alberto; Mariano, Alejandro Edgardo; Consistence between πn Δ spin-3/2 gauge couplings and electromagnetic gauge invariance; IOP Publishing; Journal Of Physics G-nuclear And Particle Physics; 42; 12; 11-2015; 125001-1250160305-46160954-3899CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0954-3899/42/12/125001info:eu-repo/semantics/altIdentifier/doi/10.1088/0954-3899/42/12/125001info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1503.01612info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:11:01Zoai:ri.conicet.gov.ar:11336/54207instacron: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:34982025-09-29 10:11:02.037CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Consistence between πn Δ spin-3/2 gauge couplings and electromagnetic gauge invariance
title Consistence between πn Δ spin-3/2 gauge couplings and electromagnetic gauge invariance
spellingShingle Consistence between πn Δ spin-3/2 gauge couplings and electromagnetic gauge invariance
Badagnani, Daniel
DELTA
GAUGE
NUCLEON
PION
title_short Consistence between πn Δ spin-3/2 gauge couplings and electromagnetic gauge invariance
title_full Consistence between πn Δ spin-3/2 gauge couplings and electromagnetic gauge invariance
title_fullStr Consistence between πn Δ spin-3/2 gauge couplings and electromagnetic gauge invariance
title_full_unstemmed Consistence between πn Δ spin-3/2 gauge couplings and electromagnetic gauge invariance
title_sort Consistence between πn Δ spin-3/2 gauge couplings and electromagnetic gauge invariance
dc.creator.none.fl_str_mv Badagnani, Daniel
Barbero, César Alberto
Mariano, Alejandro Edgardo
author Badagnani, Daniel
author_facet Badagnani, Daniel
Barbero, César Alberto
Mariano, Alejandro Edgardo
author_role author
author2 Barbero, César Alberto
Mariano, Alejandro Edgardo
author2_role author
author
dc.subject.none.fl_str_mv DELTA
GAUGE
NUCLEON
PION
topic DELTA
GAUGE
NUCLEON
PION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We review the consistency between the recently proposed spin-3/2 gauge interaction for Δ resonance with nucleons (N) and pions (π), and the fundamental electromagnetic gauge invariance in any radiative amplitude. We show that: (1) the electromagnetic interaction introduced through minimal substitution in all derivatives breaks the spin-3/2 gauge invariance; (2) radiative corrections (in general not zero for any effective Lagrangian theory) of the spin-3/2 gauge strong vertexes at one loop reintroduce the conventional π derivative interaction. In fact, analyzing elastic and radiative scattering amplitude, we show that chiral symmetric π-derivative couplings can be substituted through a linear transformation to get Δ-derivative ones, which have the property of decoupling the 1/2 field components of the Δ propagator, plus contact terms where the Δ-field is absent. One could intend to apply new transformations (now linear and nonlinear) to restore this property in the radiative case, but the electromagnetic gauge invariance does not survive and nonlinear transformations generate an infinite number of Δ-field terms in the Lagrangian. We conclude that we can only content ourselves to fulfil approximately the electromagnetic gauge invariance at a given order n without destroying the spin-3/2 one, by dropping n + 1 order terms within an effective field theory framework, where the 'order n' is defined as a power counting expansion applicable only in the resonance region. In addition, we show that the Ward identity for the vertex cannot be fulfilled with a trimmed 3/2 propagator - added ad hoc by some authors with the intention of avoiding 1/2 propagation in the radiative case for the amplitude.
Fil: Badagnani, Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Barbero, César Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Mariano, Alejandro Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description We review the consistency between the recently proposed spin-3/2 gauge interaction for Δ resonance with nucleons (N) and pions (π), and the fundamental electromagnetic gauge invariance in any radiative amplitude. We show that: (1) the electromagnetic interaction introduced through minimal substitution in all derivatives breaks the spin-3/2 gauge invariance; (2) radiative corrections (in general not zero for any effective Lagrangian theory) of the spin-3/2 gauge strong vertexes at one loop reintroduce the conventional π derivative interaction. In fact, analyzing elastic and radiative scattering amplitude, we show that chiral symmetric π-derivative couplings can be substituted through a linear transformation to get Δ-derivative ones, which have the property of decoupling the 1/2 field components of the Δ propagator, plus contact terms where the Δ-field is absent. One could intend to apply new transformations (now linear and nonlinear) to restore this property in the radiative case, but the electromagnetic gauge invariance does not survive and nonlinear transformations generate an infinite number of Δ-field terms in the Lagrangian. We conclude that we can only content ourselves to fulfil approximately the electromagnetic gauge invariance at a given order n without destroying the spin-3/2 one, by dropping n + 1 order terms within an effective field theory framework, where the 'order n' is defined as a power counting expansion applicable only in the resonance region. In addition, we show that the Ward identity for the vertex cannot be fulfilled with a trimmed 3/2 propagator - added ad hoc by some authors with the intention of avoiding 1/2 propagation in the radiative case for the amplitude.
publishDate 2015
dc.date.none.fl_str_mv 2015-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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://hdl.handle.net/11336/54207
Badagnani, Daniel; Barbero, César Alberto; Mariano, Alejandro Edgardo; Consistence between πn Δ spin-3/2 gauge couplings and electromagnetic gauge invariance; IOP Publishing; Journal Of Physics G-nuclear And Particle Physics; 42; 12; 11-2015; 125001-125016
0305-4616
0954-3899
CONICET Digital
CONICET
url http://hdl.handle.net/11336/54207
identifier_str_mv Badagnani, Daniel; Barbero, César Alberto; Mariano, Alejandro Edgardo; Consistence between πn Δ spin-3/2 gauge couplings and electromagnetic gauge invariance; IOP Publishing; Journal Of Physics G-nuclear And Particle Physics; 42; 12; 11-2015; 125001-125016
0305-4616
0954-3899
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0954-3899/42/12/125001
info:eu-repo/semantics/altIdentifier/doi/10.1088/0954-3899/42/12/125001
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1503.01612
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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