On the matching method and the Goldstone theorem in holography

We study the transition of a scalar field in a fixed AdS <sub>d+1</sub> 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 a...

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Detalles Bibliográficos
Autores principales: Bajc, Borut, Lugo, Adrián René
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2013
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/98357
https://ri.conicet.gov.ar/11336/23485
https://link.springer.com/article/10.1007%2FJHEP07%282013%29056
https://arxiv.org/abs/1304.3051
Aporte de:
id I19-R120-10915-98357
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Invariance: dilation
Goldstone theorem
Anti-de sitter
Holography
Ads-cft correspondence
Spontaneous symmetry breaking
spellingShingle Física
Invariance: dilation
Goldstone theorem
Anti-de sitter
Holography
Ads-cft correspondence
Spontaneous symmetry breaking
Bajc, Borut
Lugo, Adrián René
On the matching method and the Goldstone theorem in holography
topic_facet Física
Invariance: dilation
Goldstone theorem
Anti-de sitter
Holography
Ads-cft correspondence
Spontaneous symmetry breaking
description We study the transition of a scalar field in a fixed AdS <sub>d+1</sub> 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 <sup>2</sup> = 0 in accordance with the Goldstone theorem applied to a spontaneously broken dilatation invariance.
format Articulo
Preprint
author Bajc, Borut
Lugo, Adrián René
author_facet Bajc, Borut
Lugo, Adrián René
author_sort Bajc, Borut
title On the matching method and the Goldstone theorem in holography
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
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/98357
https://ri.conicet.gov.ar/11336/23485
https://link.springer.com/article/10.1007%2FJHEP07%282013%29056
https://arxiv.org/abs/1304.3051
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