On the matching method and the Goldstone theorem in holography

Autores
Bajc, Borut; Lugo, Adrián René
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the transition of a scalar field in a fixed AdS (d+1) background between an extremum and a minimum of a potential. We compute analytically the solution to the perturbation equation for the vev deformation case by generalizing the usual matching method to higher orders and find the propagator of the boundary theory operator defined through the AdS-CFT correspondence. We show that, contrary to what happens at the leading order of the matching method, the next-to-leading order presents a simple pole at q (2) = 0 in accordance with the Goldstone theorem applied to a spontaneously broken dilatation invariance.
Fil: Bajc, Borut. J. Stefan Institute; Eslovenia. University of Ljubljana; Eslovenia
Fil: Lugo, Adrián René. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. J. Stefan Institute; Eslovenia. 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
Invariance: Dilation
Goldstone Theorem
Anti-De Sitter
Holography
Ads-Cft Correspondence
Spontaneous Symmetry Breaking
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:11336/23485
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/23485
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network_name_str CONICET Digital (CONICET)
spelling On the matching method and the Goldstone theorem in holographyBajc, BorutLugo, Adrián RenéInvariance: DilationGoldstone TheoremAnti-De SitterHolographyAds-Cft CorrespondenceSpontaneous Symmetry Breakinghttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the transition of a scalar field in a fixed AdS (d+1) background between an extremum and a minimum of a potential. We compute analytically the solution to the perturbation equation for the vev deformation case by generalizing the usual matching method to higher orders and find the propagator of the boundary theory operator defined through the AdS-CFT correspondence. We show that, contrary to what happens at the leading order of the matching method, the next-to-leading order presents a simple pole at q (2) = 0 in accordance with the Goldstone theorem applied to a spontaneously broken dilatation invariance.Fil: Bajc, Borut. J. Stefan Institute; Eslovenia. University of Ljubljana; EsloveniaFil: Lugo, Adrián René. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. J. Stefan Institute; Eslovenia. 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; ArgentinaSpringer Heidelberg2013-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/23485Bajc, Borut; Lugo, Adrián René; On the matching method and the Goldstone theorem in holography; Springer Heidelberg; Journal of High Energy Physics; 2013; 7; 7-2013; 56-851126-67081029-8479CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2FJHEP07%282013%29056info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP07(2013)056info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1304.3051info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:08:31Zoai:ri.conicet.gov.ar:11336/23485instacron: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 10:08:31.585CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the matching method and the Goldstone theorem in holography
title On the matching method and the Goldstone theorem in holography
spellingShingle On the matching method and the Goldstone theorem in holography
Bajc, Borut
Invariance: Dilation
Goldstone Theorem
Anti-De Sitter
Holography
Ads-Cft Correspondence
Spontaneous Symmetry Breaking
title_short On the matching method and the Goldstone theorem in holography
title_full On the matching method and the Goldstone theorem in holography
title_fullStr On the matching method and the Goldstone theorem in holography
title_full_unstemmed On the matching method and the Goldstone theorem in holography
title_sort On the matching method and the Goldstone theorem in holography
dc.creator.none.fl_str_mv Bajc, Borut
Lugo, Adrián René
author Bajc, Borut
author_facet Bajc, Borut
Lugo, Adrián René
author_role author
author2 Lugo, Adrián René
author2_role author
dc.subject.none.fl_str_mv Invariance: Dilation
Goldstone Theorem
Anti-De Sitter
Holography
Ads-Cft Correspondence
Spontaneous Symmetry Breaking
topic Invariance: Dilation
Goldstone Theorem
Anti-De Sitter
Holography
Ads-Cft Correspondence
Spontaneous Symmetry Breaking
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 study the transition of a scalar field in a fixed AdS (d+1) background between an extremum and a minimum of a potential. We compute analytically the solution to the perturbation equation for the vev deformation case by generalizing the usual matching method to higher orders and find the propagator of the boundary theory operator defined through the AdS-CFT correspondence. We show that, contrary to what happens at the leading order of the matching method, the next-to-leading order presents a simple pole at q (2) = 0 in accordance with the Goldstone theorem applied to a spontaneously broken dilatation invariance.
Fil: Bajc, Borut. J. Stefan Institute; Eslovenia. University of Ljubljana; Eslovenia
Fil: Lugo, Adrián René. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. J. Stefan Institute; Eslovenia. 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 study the transition of a scalar field in a fixed AdS (d+1) background between an extremum and a minimum of a potential. We compute analytically the solution to the perturbation equation for the vev deformation case by generalizing the usual matching method to higher orders and find the propagator of the boundary theory operator defined through the AdS-CFT correspondence. We show that, contrary to what happens at the leading order of the matching method, the next-to-leading order presents a simple pole at q (2) = 0 in accordance with the Goldstone theorem applied to a spontaneously broken dilatation invariance.
publishDate 2013
dc.date.none.fl_str_mv 2013-07
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/11336/23485
Bajc, Borut; Lugo, Adrián René; On the matching method and the Goldstone theorem in holography; Springer Heidelberg; Journal of High Energy Physics; 2013; 7; 7-2013; 56-85
1126-6708
1029-8479
CONICET Digital
CONICET
url http://hdl.handle.net/11336/23485
identifier_str_mv Bajc, Borut; Lugo, Adrián René; On the matching method and the Goldstone theorem in holography; Springer Heidelberg; Journal of High Energy Physics; 2013; 7; 7-2013; 56-85
1126-6708
1029-8479
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2FJHEP07%282013%29056
info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP07(2013)056
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1304.3051
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/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer Heidelberg
publisher.none.fl_str_mv Springer Heidelberg
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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