Backreaction in trans-Planckian cosmology: Renormalization, trace anomaly, and self-consistent solutions

We analyze the semiclassical Einstein equations for quantum scalar fields satisfying modified dispersion relations. We first discuss in detail the renormalization procedure based on adiabatic subtraction and dimensional regularization. We show that, contrary to what is expected from power counting a...

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Autores principales: López Nacir, Diana Laura, Mazzitelli, Francisco Diego
Publicado: 2007
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v76_n2_p_Nacir
http://hdl.handle.net/20.500.12110/paper_15507998_v76_n2_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 paper:paper_15507998_v76_n2_p_Nacir2023-06-08T16:22:02Z Backreaction in trans-Planckian cosmology: Renormalization, trace anomaly, and self-consistent solutions López Nacir, Diana Laura Mazzitelli, Francisco Diego We analyze the semiclassical Einstein equations for quantum scalar fields satisfying modified dispersion relations. We first discuss in detail the renormalization procedure based on adiabatic subtraction and dimensional regularization. We show that, contrary to what is expected from power counting arguments, in 3+1 dimensions the subtraction involves up to the fourth adiabatic order even for dispersion relations containing higher powers of the momentum. Then we analyze the dependence of the trace of the renormalized energy-momentum tensor with the scale of new physics, and we recover the usual trace anomaly in the appropriate limit. We also find self-consistent de Sitter solutions for dispersion relations that contain up to the fourth power of the momentum. Using this particular example, we also discuss the possibility that the modified dispersion relation can be mimicked at lower energies by an effective initial state in a theory with the usual dispersion relation. © 2007 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. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v76_n2_p_Nacir http://hdl.handle.net/20.500.12110/paper_15507998_v76_n2_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 analyze the semiclassical Einstein equations for quantum scalar fields satisfying modified dispersion relations. We first discuss in detail the renormalization procedure based on adiabatic subtraction and dimensional regularization. We show that, contrary to what is expected from power counting arguments, in 3+1 dimensions the subtraction involves up to the fourth adiabatic order even for dispersion relations containing higher powers of the momentum. Then we analyze the dependence of the trace of the renormalized energy-momentum tensor with the scale of new physics, and we recover the usual trace anomaly in the appropriate limit. We also find self-consistent de Sitter solutions for dispersion relations that contain up to the fourth power of the momentum. Using this particular example, we also discuss the possibility that the modified dispersion relation can be mimicked at lower energies by an effective initial state in a theory with the usual dispersion relation. © 2007 The American Physical Society.
author López Nacir, Diana Laura
Mazzitelli, Francisco Diego
spellingShingle López Nacir, Diana Laura
Mazzitelli, Francisco Diego
Backreaction in trans-Planckian cosmology: Renormalization, trace anomaly, and self-consistent solutions
author_facet López Nacir, Diana Laura
Mazzitelli, Francisco Diego
author_sort López Nacir, Diana Laura
title Backreaction in trans-Planckian cosmology: Renormalization, trace anomaly, and self-consistent solutions
title_short Backreaction in trans-Planckian cosmology: Renormalization, trace anomaly, and self-consistent solutions
title_full Backreaction in trans-Planckian cosmology: Renormalization, trace anomaly, and self-consistent solutions
title_fullStr Backreaction in trans-Planckian cosmology: Renormalization, trace anomaly, and self-consistent solutions
title_full_unstemmed Backreaction in trans-Planckian cosmology: Renormalization, trace anomaly, and self-consistent solutions
title_sort backreaction in trans-planckian cosmology: renormalization, trace anomaly, and self-consistent solutions
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v76_n2_p_Nacir
http://hdl.handle.net/20.500.12110/paper_15507998_v76_n2_p_Nacir
work_keys_str_mv AT lopeznacirdianalaura backreactionintransplanckiancosmologyrenormalizationtraceanomalyandselfconsistentsolutions
AT mazzitellifranciscodiego backreactionintransplanckiancosmologyrenormalizationtraceanomalyandselfconsistentsolutions
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