The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details

Autores
Bianchi, Marco Andrés; Giribet, Gaston Enrique; Leoni Olivera, Matías; Penati, Silvia
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We compute the expectation value of the 1/2 BPS circular Wilson loop operator in ABJ(M) theory at two loops in perturbation theory. Our result turns out to be in exact agreement with the weak coupling limit of the prediction coming from localization, including finite N contributions associated to non-planar diagrams. It also confirms the identification of the correct framing factor that connects framing-zero and framingoneexpressions, previously proposed. The evaluation of the 1/2 BPS operator is made technically difficult in comparison with other observables of ABJ(M) theory by the appearance of integrals involving the coupling between fermions and gauge fields, which are absent for instance in the 1/6 BPS case. We describe in detail how to analytically solve these integrals in dimensional regularization with dimensional reduction (DRED). By suitably performing the physical limit to three dimensions we clarify the role played by short distance divergences on the final result and the mechanism of their cancellation.
Fil: Bianchi, Marco Andrés. Universität zu Berlin; Alemania
Fil: Giribet, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Leoni Olivera, Matías. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Penati, Silvia. Università degli Studi di Milano; Italia
Materia
CHERN-SIMONS THEORIES
MATRIX MODELS
WILSON 'T HOOFT AND POLYAKOV LOOPS
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:11336/85962
Acceder
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network_name_str CONICET Digital (CONICET)
spelling The 1/2 BPS Wilson loop in ABJ(M) at two loops: The detailsBianchi, Marco AndrésGiribet, Gaston EnriqueLeoni Olivera, MatíasPenati, SilviaCHERN-SIMONS THEORIESMATRIX MODELSWILSON 'T HOOFT AND POLYAKOV LOOPShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We compute the expectation value of the 1/2 BPS circular Wilson loop operator in ABJ(M) theory at two loops in perturbation theory. Our result turns out to be in exact agreement with the weak coupling limit of the prediction coming from localization, including finite N contributions associated to non-planar diagrams. It also confirms the identification of the correct framing factor that connects framing-zero and framingoneexpressions, previously proposed. The evaluation of the 1/2 BPS operator is made technically difficult in comparison with other observables of ABJ(M) theory by the appearance of integrals involving the coupling between fermions and gauge fields, which are absent for instance in the 1/6 BPS case. We describe in detail how to analytically solve these integrals in dimensional regularization with dimensional reduction (DRED). By suitably performing the physical limit to three dimensions we clarify the role played by short distance divergences on the final result and the mechanism of their cancellation.Fil: Bianchi, Marco Andrés. Universität zu Berlin; AlemaniaFil: Giribet, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Leoni Olivera, Matías. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Penati, Silvia. Università degli Studi di Milano; ItaliaSpringer2013-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/85962Bianchi, Marco Andrés; Giribet, Gaston Enrique; Leoni Olivera, Matías; Penati, Silvia; The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details; Springer; Journal of High Energy Physics; 2013; 10; 10-2013; 1-541126-6708CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP10(2013)085info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2FJHEP10%282013%29085info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1307.0786info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:10:59Zoai:ri.conicet.gov.ar:11336/85962instacron: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:34982025-09-03 10:10:59.821CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
title The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
spellingShingle The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
Bianchi, Marco Andrés
CHERN-SIMONS THEORIES
MATRIX MODELS
WILSON 'T HOOFT AND POLYAKOV LOOPS
title_short The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
title_full The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
title_fullStr The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
title_full_unstemmed The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
title_sort The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
dc.creator.none.fl_str_mv Bianchi, Marco Andrés
Giribet, Gaston Enrique
Leoni Olivera, Matías
Penati, Silvia
author Bianchi, Marco Andrés
author_facet Bianchi, Marco Andrés
Giribet, Gaston Enrique
Leoni Olivera, Matías
Penati, Silvia
author_role author
author2 Giribet, Gaston Enrique
Leoni Olivera, Matías
Penati, Silvia
author2_role author
author
author
dc.subject.none.fl_str_mv CHERN-SIMONS THEORIES
MATRIX MODELS
WILSON 'T HOOFT AND POLYAKOV LOOPS
topic CHERN-SIMONS THEORIES
MATRIX MODELS
WILSON 'T HOOFT AND POLYAKOV LOOPS
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 compute the expectation value of the 1/2 BPS circular Wilson loop operator in ABJ(M) theory at two loops in perturbation theory. Our result turns out to be in exact agreement with the weak coupling limit of the prediction coming from localization, including finite N contributions associated to non-planar diagrams. It also confirms the identification of the correct framing factor that connects framing-zero and framingoneexpressions, previously proposed. The evaluation of the 1/2 BPS operator is made technically difficult in comparison with other observables of ABJ(M) theory by the appearance of integrals involving the coupling between fermions and gauge fields, which are absent for instance in the 1/6 BPS case. We describe in detail how to analytically solve these integrals in dimensional regularization with dimensional reduction (DRED). By suitably performing the physical limit to three dimensions we clarify the role played by short distance divergences on the final result and the mechanism of their cancellation.
Fil: Bianchi, Marco Andrés. Universität zu Berlin; Alemania
Fil: Giribet, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Leoni Olivera, Matías. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Penati, Silvia. Università degli Studi di Milano; Italia
description We compute the expectation value of the 1/2 BPS circular Wilson loop operator in ABJ(M) theory at two loops in perturbation theory. Our result turns out to be in exact agreement with the weak coupling limit of the prediction coming from localization, including finite N contributions associated to non-planar diagrams. It also confirms the identification of the correct framing factor that connects framing-zero and framingoneexpressions, previously proposed. The evaluation of the 1/2 BPS operator is made technically difficult in comparison with other observables of ABJ(M) theory by the appearance of integrals involving the coupling between fermions and gauge fields, which are absent for instance in the 1/6 BPS case. We describe in detail how to analytically solve these integrals in dimensional regularization with dimensional reduction (DRED). By suitably performing the physical limit to three dimensions we clarify the role played by short distance divergences on the final result and the mechanism of their cancellation.
publishDate 2013
dc.date.none.fl_str_mv 2013-10
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/11336/85962
Bianchi, Marco Andrés; Giribet, Gaston Enrique; Leoni Olivera, Matías; Penati, Silvia; The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details; Springer; Journal of High Energy Physics; 2013; 10; 10-2013; 1-54
1126-6708
CONICET Digital
CONICET
url http://hdl.handle.net/11336/85962
identifier_str_mv Bianchi, Marco Andrés; Giribet, Gaston Enrique; Leoni Olivera, Matías; Penati, Silvia; The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details; Springer; Journal of High Energy Physics; 2013; 10; 10-2013; 1-54
1126-6708
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP10(2013)085
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2FJHEP10%282013%29085
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1307.0786
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
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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 13.13397

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