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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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v78_n4_p_Nacir http://hdl.handle.net/20.500.12110/paper_15507998_v78_n4_p_Nacir |
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paper:paper_15507998_v78_n4_p_Nacir2023-06-08T16:22:05Z New counterterms induced by trans-Planckian physics in semiclassical gravity López Nacir, Diana Laura Mazzitelli, Francisco Diego 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. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v78_n4_p_Nacir 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. |
author |
López Nacir, Diana Laura Mazzitelli, Francisco Diego |
spellingShingle |
López Nacir, Diana Laura Mazzitelli, Francisco Diego New counterterms induced by trans-Planckian physics in semiclassical gravity |
author_facet |
López Nacir, Diana Laura Mazzitelli, Francisco Diego |
author_sort |
López Nacir, Diana Laura |
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 |
publishDate |
2008 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v78_n4_p_Nacir http://hdl.handle.net/20.500.12110/paper_15507998_v78_n4_p_Nacir |
work_keys_str_mv |
AT lopeznacirdianalaura newcountertermsinducedbytransplanckianphysicsinsemiclassicalgravity AT mazzitellifranciscodiego newcountertermsinducedbytransplanckianphysicsinsemiclassicalgravity |
_version_ |
1768541956491706368 |