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...
Autores principales: | , |
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Formato: | Articulo Preprint |
Lenguaje: | Inglés |
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2013
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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: |
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I19-R120-10915-98357 |
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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 |
work_keys_str_mv |
AT bajcborut onthematchingmethodandthegoldstonetheoreminholography AT lugoadrianrene onthematchingmethodandthegoldstonetheoreminholography |
bdutipo_str |
Repositorios |
_version_ |
1764820493051887616 |