New counterterms induced by trans-Planckian physics in semiclassical gravity

We consider free and self-interacting quantum scalar fields satisfying modified dispersion relations in the framework of Einstein-Aether theory. Using adiabatic regularization, we study the renormalization of the equation for the mean value of the field in the self-interacting case, and the renormal...

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Autores principales: Nacir, D.L., Mazzitelli, F.D.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15507998_v78_n4_p_Nacir
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_15507998_v78_n4_p_Nacir2023-10-03T16:24:08Z New counterterms induced by trans-Planckian physics in semiclassical gravity Nacir, D.L. Mazzitelli, F.D. We consider free and self-interacting quantum scalar fields satisfying modified dispersion relations in the framework of Einstein-Aether theory. Using adiabatic regularization, we study the renormalization of the equation for the mean value of the field in the self-interacting case, and the renormalization of the semiclassical Einstein-Aether equations for free fields. In both cases we consider Bianchi type I background spacetimes. Contrary to what happens for free fields in flat Robertson-Walker spacetimes, the self-interaction and/or the anisotropy produce nonpurely geometric terms in the adiabatic expansion, i.e. terms that involve both the metric gμν and the aether field uμ. We argue that, in a general spacetime, the renormalization of the theory would involve new counterterms constructed with gμν and uμ, generating a fine-tuning problem for the Einstein-Aether theory. © 2008 The American Physical Society. Fil:Nacir, D.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mazzitelli, F.D. 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_15507998_v78_n4_p_Nacir
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 consider free and self-interacting quantum scalar fields satisfying modified dispersion relations in the framework of Einstein-Aether theory. Using adiabatic regularization, we study the renormalization of the equation for the mean value of the field in the self-interacting case, and the renormalization of the semiclassical Einstein-Aether equations for free fields. In both cases we consider Bianchi type I background spacetimes. Contrary to what happens for free fields in flat Robertson-Walker spacetimes, the self-interaction and/or the anisotropy produce nonpurely geometric terms in the adiabatic expansion, i.e. terms that involve both the metric gμν and the aether field uμ. We argue that, in a general spacetime, the renormalization of the theory would involve new counterterms constructed with gμν and uμ, generating a fine-tuning problem for the Einstein-Aether theory. © 2008 The American Physical Society.
format JOUR
author Nacir, D.L.
Mazzitelli, F.D.
spellingShingle Nacir, D.L.
Mazzitelli, F.D.
New counterterms induced by trans-Planckian physics in semiclassical gravity
author_facet Nacir, D.L.
Mazzitelli, F.D.
author_sort Nacir, D.L.
title New counterterms induced by trans-Planckian physics in semiclassical gravity
title_short New counterterms induced by trans-Planckian physics in semiclassical gravity
title_full New counterterms induced by trans-Planckian physics in semiclassical gravity
title_fullStr New counterterms induced by trans-Planckian physics in semiclassical gravity
title_full_unstemmed New counterterms induced by trans-Planckian physics in semiclassical gravity
title_sort new counterterms induced by trans-planckian physics in semiclassical gravity
url http://hdl.handle.net/20.500.12110/paper_15507998_v78_n4_p_Nacir
work_keys_str_mv AT nacirdl newcountertermsinducedbytransplanckianphysicsinsemiclassicalgravity
AT mazzitellifd newcountertermsinducedbytransplanckianphysicsinsemiclassicalgravity
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