Stochastic semiclassical fluctuations in Minkowski spacetime

The semiclassical Einstein-Langevin equations which describe the dynamics of stochastic perturbations of the metric induced by quantum stress-energy fluctuations of matter fields in a given state are considered on the background of the ground state of semiclassical gravity, namely, Minkowski spaceti...

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Detalles Bibliográficos
Autores: Martín Menéndez, Rosario, Verdaguer Oms, Enric, 1950-
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2000
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/12319
Acceso en línea:https://hdl.handle.net/2445/12319
Access Level:acceso abierto
Palabra clave:Relativitat (Física)
Gravetat quàntica
Espais generalitzats
Fluctuacions (Física)
Relativity (Physics)
Quantum gravity
Generalized spaces
Fluctuations (Physics)
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spelling Stochastic semiclassical fluctuations in Minkowski spacetimeMartín Menéndez, RosarioVerdaguer Oms, Enric, 1950-Relativitat (Física)Gravetat quànticaEspais generalitzatsFluctuacions (Física)Relativity (Physics)Quantum gravityGeneralized spacesFluctuations (Physics)The semiclassical Einstein-Langevin equations which describe the dynamics of stochastic perturbations of the metric induced by quantum stress-energy fluctuations of matter fields in a given state are considered on the background of the ground state of semiclassical gravity, namely, Minkowski spacetime and a scalar field in its vacuum state. The relevant equations are explicitly derived for massless and massive fields arbitrarily coupled to the curvature. In doing so, some semiclassical results, such as the expectation value of the stress-energy tensor to linear order in the metric perturbations and particle creation effects, are obtained. We then solve the equations and compute the two-point correlation functions for the linearized Einstein tensor and for the metric perturbations. In the conformal field case, explicit results are obtained. These results hint that gravitational fluctuations in stochastic semiclassical gravity have a non-perturbative behavior in some characteristic correlation lengths.The American Physical Society2000info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/12319Articles publicats en revistes (Física de la Matèria Condensada)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevD.61.124024Physical Review D, 2000, vol. 61, núm. 12, p. 124024-1-124024-25http://dx.doi.org/10.1103/PhysRevD.61.124024(c) The American Physical Society, 2000info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/123192026-05-27T06:46:51Z
dc.title.none.fl_str_mv Stochastic semiclassical fluctuations in Minkowski spacetime
title Stochastic semiclassical fluctuations in Minkowski spacetime
spellingShingle Stochastic semiclassical fluctuations in Minkowski spacetime
Martín Menéndez, Rosario
Relativitat (Física)
Gravetat quàntica
Espais generalitzats
Fluctuacions (Física)
Relativity (Physics)
Quantum gravity
Generalized spaces
Fluctuations (Physics)
title_short Stochastic semiclassical fluctuations in Minkowski spacetime
title_full Stochastic semiclassical fluctuations in Minkowski spacetime
title_fullStr Stochastic semiclassical fluctuations in Minkowski spacetime
title_full_unstemmed Stochastic semiclassical fluctuations in Minkowski spacetime
title_sort Stochastic semiclassical fluctuations in Minkowski spacetime
dc.creator.none.fl_str_mv Martín Menéndez, Rosario
Verdaguer Oms, Enric, 1950-
author Martín Menéndez, Rosario
author_facet Martín Menéndez, Rosario
Verdaguer Oms, Enric, 1950-
author_role author
author2 Verdaguer Oms, Enric, 1950-
author2_role author
dc.subject.none.fl_str_mv Relativitat (Física)
Gravetat quàntica
Espais generalitzats
Fluctuacions (Física)
Relativity (Physics)
Quantum gravity
Generalized spaces
Fluctuations (Physics)
topic Relativitat (Física)
Gravetat quàntica
Espais generalitzats
Fluctuacions (Física)
Relativity (Physics)
Quantum gravity
Generalized spaces
Fluctuations (Physics)
description The semiclassical Einstein-Langevin equations which describe the dynamics of stochastic perturbations of the metric induced by quantum stress-energy fluctuations of matter fields in a given state are considered on the background of the ground state of semiclassical gravity, namely, Minkowski spacetime and a scalar field in its vacuum state. The relevant equations are explicitly derived for massless and massive fields arbitrarily coupled to the curvature. In doing so, some semiclassical results, such as the expectation value of the stress-energy tensor to linear order in the metric perturbations and particle creation effects, are obtained. We then solve the equations and compute the two-point correlation functions for the linearized Einstein tensor and for the metric perturbations. In the conformal field case, explicit results are obtained. These results hint that gravitational fluctuations in stochastic semiclassical gravity have a non-perturbative behavior in some characteristic correlation lengths.
publishDate 2000
dc.date.none.fl_str_mv 2000
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/12319
url https://hdl.handle.net/2445/12319
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevD.61.124024
Physical Review D, 2000, vol. 61, núm. 12, p. 124024-1-124024-25
http://dx.doi.org/10.1103/PhysRevD.61.124024
dc.rights.none.fl_str_mv (c) The American Physical Society, 2000
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) The American Physical Society, 2000
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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