Lorentzian AdS geometries, wormholes, and holography

Autores
Arias, Raúl Eduardo; Botta Cantcheff, Marcelo Ángel Nicolás; Silva, Guillermo Ariel
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We investigate the structure of two-point functions for the quantum field theory dual to an asymptotically Lorentzian Anti de Sitter (AdS) wormhole. The bulk geometry is a solution of five-dimensional second-order Einstein-Gauss-Bonnet gravity and causally connects two asymptotically AdS spacetimes. We revisit the Gubser-Klebanov-Polyakov-Witten prescription for computing two-point correlation functions for dual quantum field theories operators O in Lorentzian signature and we propose to express the bulk fields in terms of the independent boundary values φ₀± at each of the two asymptotic AdS regions; along the way we exhibit how the ambiguity of normalizable modes in the bulk, related to initial and final states, show up in the computations. The independent boundary values are interpreted as sources for dual operators O± and we argue that, apart from the possibility of entanglement, there exists a coupling between the degrees of freedom living at each boundary. The AdS₁₊₁ geometry is also discussed in view of its similar boundary structure. Based on the analysis, we propose a very simple geometric criterion to distinguish coupling from entanglement effects among two sets of degrees of freedom associated with each of the disconnected parts of the boundary
Facultad de Ciencias Exactas
Instituto de Física La Plata
Materia
Ciencias Exactas
Física
quantum field theory
wormhole
Lorentzian AdS geometries
holography
Physics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/126411
Acceder
id SEDICI_5cf45c8dc2e98153847b8dd132acc599
oai_identifier_str oai:sedici.unlp.edu.ar:10915/126411
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Lorentzian AdS geometries, wormholes, and holographyArias, Raúl EduardoBotta Cantcheff, Marcelo Ángel NicolásSilva, Guillermo ArielCiencias ExactasFísicaquantum field theorywormholeLorentzian AdS geometriesholographyPhysicsWe investigate the structure of two-point functions for the quantum field theory dual to an asymptotically Lorentzian Anti de Sitter (AdS) wormhole. The bulk geometry is a solution of five-dimensional second-order Einstein-Gauss-Bonnet gravity and causally connects two asymptotically AdS spacetimes. We revisit the Gubser-Klebanov-Polyakov-Witten prescription for computing two-point correlation functions for dual quantum field theories operators O in Lorentzian signature and we propose to express the bulk fields in terms of the independent boundary values φ₀<sup>±</sup> at each of the two asymptotic AdS regions; along the way we exhibit how the ambiguity of normalizable modes in the bulk, related to initial and final states, show up in the computations. The independent boundary values are interpreted as sources for dual operators O<sup>±</sup> and we argue that, apart from the possibility of entanglement, there exists a coupling between the degrees of freedom living at each boundary. The AdS₁₊₁ geometry is also discussed in view of its similar boundary structure. Based on the analysis, we propose a very simple geometric criterion to distinguish coupling from entanglement effects among two sets of degrees of freedom associated with each of the disconnected parts of the boundaryFacultad de Ciencias ExactasInstituto de Física La Plata2011-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/126411enginfo:eu-repo/semantics/altIdentifier/issn/1550-7998info:eu-repo/semantics/altIdentifier/issn/1550-2368info:eu-repo/semantics/altIdentifier/arxiv/1012.4478info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevd.83.066015info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:11:16Zoai:sedici.unlp.edu.ar:10915/126411Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:11:16.379SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Lorentzian AdS geometries, wormholes, and holography
title Lorentzian AdS geometries, wormholes, and holography
spellingShingle Lorentzian AdS geometries, wormholes, and holography
Arias, Raúl Eduardo
Ciencias Exactas
Física
quantum field theory
wormhole
Lorentzian AdS geometries
holography
Physics
title_short Lorentzian AdS geometries, wormholes, and holography
title_full Lorentzian AdS geometries, wormholes, and holography
title_fullStr Lorentzian AdS geometries, wormholes, and holography
title_full_unstemmed Lorentzian AdS geometries, wormholes, and holography
title_sort Lorentzian AdS geometries, wormholes, and holography
dc.creator.none.fl_str_mv Arias, Raúl Eduardo
Botta Cantcheff, Marcelo Ángel Nicolás
Silva, Guillermo Ariel
author Arias, Raúl Eduardo
author_facet Arias, Raúl Eduardo
Botta Cantcheff, Marcelo Ángel Nicolás
Silva, Guillermo Ariel
author_role author
author2 Botta Cantcheff, Marcelo Ángel Nicolás
Silva, Guillermo Ariel
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
quantum field theory
wormhole
Lorentzian AdS geometries
holography
Physics
topic Ciencias Exactas
Física
quantum field theory
wormhole
Lorentzian AdS geometries
holography
Physics
dc.description.none.fl_txt_mv We investigate the structure of two-point functions for the quantum field theory dual to an asymptotically Lorentzian Anti de Sitter (AdS) wormhole. The bulk geometry is a solution of five-dimensional second-order Einstein-Gauss-Bonnet gravity and causally connects two asymptotically AdS spacetimes. We revisit the Gubser-Klebanov-Polyakov-Witten prescription for computing two-point correlation functions for dual quantum field theories operators O in Lorentzian signature and we propose to express the bulk fields in terms of the independent boundary values φ₀<sup>±</sup> at each of the two asymptotic AdS regions; along the way we exhibit how the ambiguity of normalizable modes in the bulk, related to initial and final states, show up in the computations. The independent boundary values are interpreted as sources for dual operators O<sup>±</sup> and we argue that, apart from the possibility of entanglement, there exists a coupling between the degrees of freedom living at each boundary. The AdS₁₊₁ geometry is also discussed in view of its similar boundary structure. Based on the analysis, we propose a very simple geometric criterion to distinguish coupling from entanglement effects among two sets of degrees of freedom associated with each of the disconnected parts of the boundary
Facultad de Ciencias Exactas
Instituto de Física La Plata
description We investigate the structure of two-point functions for the quantum field theory dual to an asymptotically Lorentzian Anti de Sitter (AdS) wormhole. The bulk geometry is a solution of five-dimensional second-order Einstein-Gauss-Bonnet gravity and causally connects two asymptotically AdS spacetimes. We revisit the Gubser-Klebanov-Polyakov-Witten prescription for computing two-point correlation functions for dual quantum field theories operators O in Lorentzian signature and we propose to express the bulk fields in terms of the independent boundary values φ₀<sup>±</sup> at each of the two asymptotic AdS regions; along the way we exhibit how the ambiguity of normalizable modes in the bulk, related to initial and final states, show up in the computations. The independent boundary values are interpreted as sources for dual operators O<sup>±</sup> and we argue that, apart from the possibility of entanglement, there exists a coupling between the degrees of freedom living at each boundary. The AdS₁₊₁ geometry is also discussed in view of its similar boundary structure. Based on the analysis, we propose a very simple geometric criterion to distinguish coupling from entanglement effects among two sets of degrees of freedom associated with each of the disconnected parts of the boundary
publishDate 2011
dc.date.none.fl_str_mv 2011-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/126411
url http://sedici.unlp.edu.ar/handle/10915/126411
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1550-7998
info:eu-repo/semantics/altIdentifier/issn/1550-2368
info:eu-repo/semantics/altIdentifier/arxiv/1012.4478
info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevd.83.066015
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 12.982451

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