Lorentzian AdS geometries, wormholes, and holography

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....

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Autores principales: Arias, Raúl Eduardo, Botta Cantcheff, Marcelo Ángel Nicolás, Silva, Guillermo Ariel
Formato: Articulo
Lenguaje:Inglés
Publicado: 2011
Materias:
Ciencias Exactas
Física
quantum field theory
wormhole
Lorentzian AdS geometries
holography
Physics
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126411
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126411
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
quantum field theory
wormhole
Lorentzian AdS geometries
holography
Physics
spellingShingle Ciencias Exactas
Física
quantum field theory
wormhole
Lorentzian AdS geometries
holography
Physics
Arias, Raúl Eduardo
Botta Cantcheff, Marcelo Ángel Nicolás
Silva, Guillermo Ariel
Lorentzian AdS geometries, wormholes, and holography
topic_facet Ciencias Exactas
Física
quantum field theory
wormhole
Lorentzian AdS geometries
holography
Physics
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
format Articulo
Articulo
author Arias, Raúl Eduardo
Botta Cantcheff, Marcelo Ángel Nicolás
Silva, Guillermo Ariel
author_facet Arias, Raúl Eduardo
Botta Cantcheff, Marcelo Ángel Nicolás
Silva, Guillermo Ariel
author_sort Arias, Raúl Eduardo
title Lorentzian AdS geometries, wormholes, and holography
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
publishDate 2011
url http://sedici.unlp.edu.ar/handle/10915/126411
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AT bottacantcheffmarceloangelnicolas lorentzianadsgeometrieswormholesandholography
AT silvaguillermoariel lorentzianadsgeometrieswormholesandholography
bdutipo_str Repositorios
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