On holography in general background and the boundary effective action from AdS to dS
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/JHEP07(2022)113 http://hdl.handle.net/11449/241387 |
Resumo: | We study quantum fields on an arbitrary, rigid background with boundary. We derive the action for a scalar in the holographic basis that separates the boundary and bulk degrees of freedom. A relation between Dirichlet and Neumann propagators valid for any background is obtained from this holographic action. As a simple application, we derive an exact formula for the flux of bulk modes emitted from the boundary in a warped background. We also derive a formula for the Casimir pressure on a (d − 1)-brane depending only on the boundary-to-bulk propagators, and apply it in AdS. Turning on couplings and using the holographic basis, we evaluate the one-loop boundary effective action in AdS by means of the heat kernel expansion. We extract anomalous dimensions of single and double trace CFT operators generated by loops of heavy scalars and nonabelian vectors, up to third order in the large squared mass expansion. From the boundary heat kernel coefficients we identify CFT operator mixing and corrections to OPE data, in addition to the radiative generation of local operators. We integrate out nonabelian vector fluctuations in AdS4,5,6 and obtain the associated holographic Yang-Mills β functions. Turning to the expanding patch of dS, following recent proposals, we provide a boundary effective action generating the perturbative cosmological correlators using analytical continuation from dS to EAdS. We obtain the “cosmological” heat kernel coefficients in the scalar case and work out the divergent part of the dS4 effective action which renormalizes the cosmological correlators. We find that bulk masses and wavefunction can logarithmically run as a result of the dS4 curvature, and that operators on the late time boundary are radiatively generated. More developments are needed to extract all one-loop information from the cosmological effective action. |
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Repositório Institucional da UNESP |
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On holography in general background and the boundary effective action from AdS to dSAdS-CFT CorrespondenceEffective Field TheoriesField Theories in Higher DimensionsRenormalization and RegularizationWe study quantum fields on an arbitrary, rigid background with boundary. We derive the action for a scalar in the holographic basis that separates the boundary and bulk degrees of freedom. A relation between Dirichlet and Neumann propagators valid for any background is obtained from this holographic action. As a simple application, we derive an exact formula for the flux of bulk modes emitted from the boundary in a warped background. We also derive a formula for the Casimir pressure on a (d − 1)-brane depending only on the boundary-to-bulk propagators, and apply it in AdS. Turning on couplings and using the holographic basis, we evaluate the one-loop boundary effective action in AdS by means of the heat kernel expansion. We extract anomalous dimensions of single and double trace CFT operators generated by loops of heavy scalars and nonabelian vectors, up to third order in the large squared mass expansion. From the boundary heat kernel coefficients we identify CFT operator mixing and corrections to OPE data, in addition to the radiative generation of local operators. We integrate out nonabelian vector fluctuations in AdS4,5,6 and obtain the associated holographic Yang-Mills β functions. Turning to the expanding patch of dS, following recent proposals, we provide a boundary effective action generating the perturbative cosmological correlators using analytical continuation from dS to EAdS. We obtain the “cosmological” heat kernel coefficients in the scalar case and work out the divergent part of the dS4 effective action which renormalizes the cosmological correlators. We find that bulk masses and wavefunction can logarithmically run as a result of the dS4 curvature, and that operators on the late time boundary are radiatively generated. More developments are needed to extract all one-loop information from the cosmological effective action.ICTP South American Institute for Fundamental Research & IFT-UNESP, R. Dr. Bento Teobaldo Ferraz 271Centro de Ciencias Naturais e Humanas Universidade Federal do ABC, SPICTP South American Institute for Fundamental Research & IFT-UNESP, R. Dr. Bento Teobaldo Ferraz 271Universidade Estadual Paulista (UNESP)Universidade Federal do ABC (UFABC)Fichet, Sylvain [UNESP]2023-03-01T20:59:45Z2023-03-01T20:59:45Z2022-07-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/JHEP07(2022)113Journal of High Energy Physics, v. 2022, n. 7, 2022.1029-8479http://hdl.handle.net/11449/24138710.1007/JHEP07(2022)1132-s2.0-85134615743Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physicsinfo:eu-repo/semantics/openAccess2023-03-01T20:59:45Zoai:repositorio.unesp.br:11449/241387Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:06:47.577548Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
On holography in general background and the boundary effective action from AdS to dS |
title |
On holography in general background and the boundary effective action from AdS to dS |
spellingShingle |
On holography in general background and the boundary effective action from AdS to dS Fichet, Sylvain [UNESP] AdS-CFT Correspondence Effective Field Theories Field Theories in Higher Dimensions Renormalization and Regularization |
title_short |
On holography in general background and the boundary effective action from AdS to dS |
title_full |
On holography in general background and the boundary effective action from AdS to dS |
title_fullStr |
On holography in general background and the boundary effective action from AdS to dS |
title_full_unstemmed |
On holography in general background and the boundary effective action from AdS to dS |
title_sort |
On holography in general background and the boundary effective action from AdS to dS |
author |
Fichet, Sylvain [UNESP] |
author_facet |
Fichet, Sylvain [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Universidade Federal do ABC (UFABC) |
dc.contributor.author.fl_str_mv |
Fichet, Sylvain [UNESP] |
dc.subject.por.fl_str_mv |
AdS-CFT Correspondence Effective Field Theories Field Theories in Higher Dimensions Renormalization and Regularization |
topic |
AdS-CFT Correspondence Effective Field Theories Field Theories in Higher Dimensions Renormalization and Regularization |
description |
We study quantum fields on an arbitrary, rigid background with boundary. We derive the action for a scalar in the holographic basis that separates the boundary and bulk degrees of freedom. A relation between Dirichlet and Neumann propagators valid for any background is obtained from this holographic action. As a simple application, we derive an exact formula for the flux of bulk modes emitted from the boundary in a warped background. We also derive a formula for the Casimir pressure on a (d − 1)-brane depending only on the boundary-to-bulk propagators, and apply it in AdS. Turning on couplings and using the holographic basis, we evaluate the one-loop boundary effective action in AdS by means of the heat kernel expansion. We extract anomalous dimensions of single and double trace CFT operators generated by loops of heavy scalars and nonabelian vectors, up to third order in the large squared mass expansion. From the boundary heat kernel coefficients we identify CFT operator mixing and corrections to OPE data, in addition to the radiative generation of local operators. We integrate out nonabelian vector fluctuations in AdS4,5,6 and obtain the associated holographic Yang-Mills β functions. Turning to the expanding patch of dS, following recent proposals, we provide a boundary effective action generating the perturbative cosmological correlators using analytical continuation from dS to EAdS. We obtain the “cosmological” heat kernel coefficients in the scalar case and work out the divergent part of the dS4 effective action which renormalizes the cosmological correlators. We find that bulk masses and wavefunction can logarithmically run as a result of the dS4 curvature, and that operators on the late time boundary are radiatively generated. More developments are needed to extract all one-loop information from the cosmological effective action. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-07-01 2023-03-01T20:59:45Z 2023-03-01T20:59:45Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/JHEP07(2022)113 Journal of High Energy Physics, v. 2022, n. 7, 2022. 1029-8479 http://hdl.handle.net/11449/241387 10.1007/JHEP07(2022)113 2-s2.0-85134615743 |
url |
http://dx.doi.org/10.1007/JHEP07(2022)113 http://hdl.handle.net/11449/241387 |
identifier_str_mv |
Journal of High Energy Physics, v. 2022, n. 7, 2022. 1029-8479 10.1007/JHEP07(2022)113 2-s2.0-85134615743 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of High Energy Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129161545383936 |