Self-consistent solution to the back-reaction problem for vector fields in two dimensions

We describe vector fields propagating in a two-dimensional spatially flat Robertson-Walker background using a curved space-time generalization of the Stueckelberg formalism. We prove that the energy-momentum tensor expectation value in the vacuum defined through energy minimization is renormalizable...

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Autores principales: Chimento, L.P., Cossarini, A.E.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_05503213_v373_n2_p438_Chimento
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spelling todo:paper_05503213_v373_n2_p438_Chimento2023-10-03T15:34:14Z Self-consistent solution to the back-reaction problem for vector fields in two dimensions Chimento, L.P. Cossarini, A.E. We describe vector fields propagating in a two-dimensional spatially flat Robertson-Walker background using a curved space-time generalization of the Stueckelberg formalism. We prove that the energy-momentum tensor expectation value in the vacuum defined through energy minimization is renormalizable and yields the usual anomalous trace in the massless limit of vector mesons. Further on we study the back-reaction problem using the semiclassical Einstein equations. In the massive case we found that the physical solution requires the cosmological constant to vanish but not necessarily with a vanishing curvature. However, for certain initial conditions of the scale factor, the de Sitter metric is a consistent solution with the cosmological constant depending on powers of the curvature scalar greater than one. In addition, matter is continuously being created at a steady state. © 1992. Fil:Chimento, L.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Cossarini, A.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_05503213_v373_n2_p438_Chimento
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We describe vector fields propagating in a two-dimensional spatially flat Robertson-Walker background using a curved space-time generalization of the Stueckelberg formalism. We prove that the energy-momentum tensor expectation value in the vacuum defined through energy minimization is renormalizable and yields the usual anomalous trace in the massless limit of vector mesons. Further on we study the back-reaction problem using the semiclassical Einstein equations. In the massive case we found that the physical solution requires the cosmological constant to vanish but not necessarily with a vanishing curvature. However, for certain initial conditions of the scale factor, the de Sitter metric is a consistent solution with the cosmological constant depending on powers of the curvature scalar greater than one. In addition, matter is continuously being created at a steady state. © 1992.
format JOUR
author Chimento, L.P.
Cossarini, A.E.
spellingShingle Chimento, L.P.
Cossarini, A.E.
Self-consistent solution to the back-reaction problem for vector fields in two dimensions
author_facet Chimento, L.P.
Cossarini, A.E.
author_sort Chimento, L.P.
title Self-consistent solution to the back-reaction problem for vector fields in two dimensions
title_short Self-consistent solution to the back-reaction problem for vector fields in two dimensions
title_full Self-consistent solution to the back-reaction problem for vector fields in two dimensions
title_fullStr Self-consistent solution to the back-reaction problem for vector fields in two dimensions
title_full_unstemmed Self-consistent solution to the back-reaction problem for vector fields in two dimensions
title_sort self-consistent solution to the back-reaction problem for vector fields in two dimensions
url http://hdl.handle.net/20.500.12110/paper_05503213_v373_n2_p438_Chimento
work_keys_str_mv AT chimentolp selfconsistentsolutiontothebackreactionproblemforvectorfieldsintwodimensions
AT cossariniae selfconsistentsolutiontothebackreactionproblemforvectorfieldsintwodimensions
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