A unified description of translational symmetry breaking in holography

We provide a complete and unified description of translational symmetry breaking in a simple holographic model. In particular, we focus on the distinction and the interplay between explicit and spontaneous breaking. We consider a class of holographic massive gravity models which allow to range conti...

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Authors: Ammon, Martin, Baggioli, Matteo, Jiménez Alba, Amadeo
Format: article
Publication Date:2019
Country:España
Institution:Universidad Autónoma de Madrid
Repository:Biblos-e Archivo. Repositorio Institucional de la UAM
Language:English
OAI Identifier:oai:repositorio.uam.es:10486/715309
Online Access:http://hdl.handle.net/10486/715309
https://dx.doi.org/10.1007/JHEP09(2019)124
Access Level:Open access
Keyword:Holography and condensed matter physics (AdS/CMT)
gauge-gravity correspondence
Física
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spelling A unified description of translational symmetry breaking in holographyAmmon, MartinBaggioli, MatteoJiménez Alba, AmadeoHolography and condensed matter physics (AdS/CMT)gauge-gravity correspondenceFísicaWe provide a complete and unified description of translational symmetry breaking in a simple holographic model. In particular, we focus on the distinction and the interplay between explicit and spontaneous breaking. We consider a class of holographic massive gravity models which allow to range continuously from one situation to the other. We study the collective degrees of freedom, the electric AC conductivity and the shear correlator in function of the explicit and spontaneous scales. We show the possibility of having a sound-to-diffusion crossover for the transverse phonons. Within our model, we verify the validity of the Gell-Mann-Oakes-Renner relation. Despite of strong evidence for the absence of any standard dislocation induced phase relaxation mechanism, we identify a novel relaxation scale controlled by the ratio between the explicit and spontaneous breaking scales. Finally, in the pseudo-spontaneous limit, we prove analytically the relation, which has been discussed in the literature, between this novel relaxation scale, the mass of the pseudo-phonons and the Goldstone diffusivity. Our numerical data confirms this analytic resultWe thank Andrea Amoretti, Tomas Andrade, Blaise Gouteraux, Saso Grozdanov, Karl Landsteiner, Daniele Musso, Napat Poovuttikul, Alessio Zaccone and Weijia Li for several discussions and helfpul comments. We thank Sean Gray and Sebastian Grieninger for collaboration on related projects. We did greatly bene t from several fruitful conversations with our colleague Daniel Arean. M.A. is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - 406235073. M.B. acknowledges the support of the Spanish MINECO's "Centro de Excelencia Severo Ochoa" Programme under grant SEV-2012-0249. A.J. is supported by the "Atracción del Talento" program (Comunidad de Madrid) under grant 2017-T1/TIC-5258. M.B. would like to thank A. Jimenez and M. Siouti for teaching him how to be classy and how to control his obnoxious aggressivitySpringerDepartamento de Física TeóricaFacultad de Ciencias20192019-09-17research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/715309https://dx.doi.org/10.1007/JHEP09(2019)124reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/7153092026-06-23T12:46:27Z
dc.title.none.fl_str_mv A unified description of translational symmetry breaking in holography
title A unified description of translational symmetry breaking in holography
spellingShingle A unified description of translational symmetry breaking in holography
Ammon, Martin
Holography and condensed matter physics (AdS/CMT)
gauge-gravity correspondence
Física
title_short A unified description of translational symmetry breaking in holography
title_full A unified description of translational symmetry breaking in holography
title_fullStr A unified description of translational symmetry breaking in holography
title_full_unstemmed A unified description of translational symmetry breaking in holography
title_sort A unified description of translational symmetry breaking in holography
dc.creator.none.fl_str_mv Ammon, Martin
Baggioli, Matteo
Jiménez Alba, Amadeo
author Ammon, Martin
author_facet Ammon, Martin
Baggioli, Matteo
Jiménez Alba, Amadeo
author_role author
author2 Baggioli, Matteo
Jiménez Alba, Amadeo
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Física Teórica
Facultad de Ciencias
dc.subject.none.fl_str_mv Holography and condensed matter physics (AdS/CMT)
gauge-gravity correspondence
Física
topic Holography and condensed matter physics (AdS/CMT)
gauge-gravity correspondence
Física
description We provide a complete and unified description of translational symmetry breaking in a simple holographic model. In particular, we focus on the distinction and the interplay between explicit and spontaneous breaking. We consider a class of holographic massive gravity models which allow to range continuously from one situation to the other. We study the collective degrees of freedom, the electric AC conductivity and the shear correlator in function of the explicit and spontaneous scales. We show the possibility of having a sound-to-diffusion crossover for the transverse phonons. Within our model, we verify the validity of the Gell-Mann-Oakes-Renner relation. Despite of strong evidence for the absence of any standard dislocation induced phase relaxation mechanism, we identify a novel relaxation scale controlled by the ratio between the explicit and spontaneous breaking scales. Finally, in the pseudo-spontaneous limit, we prove analytically the relation, which has been discussed in the literature, between this novel relaxation scale, the mass of the pseudo-phonons and the Goldstone diffusivity. Our numerical data confirms this analytic result
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-09-17
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/715309
https://dx.doi.org/10.1007/JHEP09(2019)124
url http://hdl.handle.net/10486/715309
https://dx.doi.org/10.1007/JHEP09(2019)124
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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