Renormalization in theories with modified dispersion relations: Weak gravitational fields

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We consider a free quantum scalar field satisfying modified dispersion relations in curved spacetimes, within the framework of Einstein-Aether theory. Using a power counting analysis, we study the divergences in the adiabatic expansion of 〈 φ{symbol}2 〉 and 〈 Tμ ν 〉, working in the weak field approx...

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Autores principales:	López Nacir, D., Mazzitelli, F.D.
Formato:	Artículo publishedVersion
Publicado:	2009
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_03702693_v672_n3_p294_LopezNacir https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_03702693_v672_n3_p294_LopezNacir_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

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spelling	I28-R145-paper_03702693_v672_n3_p294_LopezNacir_oai2024-08-16 López Nacir, D. Mazzitelli, F.D. 2009 We consider a free quantum scalar field satisfying modified dispersion relations in curved spacetimes, within the framework of Einstein-Aether theory. Using a power counting analysis, we study the divergences in the adiabatic expansion of 〈 φ{symbol}2 〉 and 〈 Tμ ν 〉, working in the weak field approximation. We show that for dispersion relations containing up to 2s powers of the spatial momentum, the subtraction necessary to renormalize these two quantities on general backgrounds depends on s in a qualitatively different way: while 〈 φ{symbol}2 〉 becomes convergent for a sufficiently large value of s, the number of divergent terms in the adiabatic expansion of 〈 Tμ ν 〉 increases with s. This property was not apparent in previous results for spatially homogeneous backgrounds. © 2009 Elsevier B.V. All rights reserved. Fil:López Nacir, D. 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. application/pdf http://hdl.handle.net/20.500.12110/paper_03702693_v672_n3_p294_LopezNacir info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Phys Lett Sect B Nucl Elem Part High-Energy Phys 2009;672(3):294-298 Renormalization in theories with modified dispersion relations: Weak gravitational fields info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_03702693_v672_n3_p294_LopezNacir_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (UBA)
description	We consider a free quantum scalar field satisfying modified dispersion relations in curved spacetimes, within the framework of Einstein-Aether theory. Using a power counting analysis, we study the divergences in the adiabatic expansion of 〈 φ{symbol}2 〉 and 〈 Tμ ν 〉, working in the weak field approximation. We show that for dispersion relations containing up to 2s powers of the spatial momentum, the subtraction necessary to renormalize these two quantities on general backgrounds depends on s in a qualitatively different way: while 〈 φ{symbol}2 〉 becomes convergent for a sufficiently large value of s, the number of divergent terms in the adiabatic expansion of 〈 Tμ ν 〉 increases with s. This property was not apparent in previous results for spatially homogeneous backgrounds. © 2009 Elsevier B.V. All rights reserved.
format	Artículo Artículo publishedVersion
author	López Nacir, D. Mazzitelli, F.D.
spellingShingle	López Nacir, D. Mazzitelli, F.D. Renormalization in theories with modified dispersion relations: Weak gravitational fields
author_facet	López Nacir, D. Mazzitelli, F.D.
author_sort	López Nacir, D.
title	Renormalization in theories with modified dispersion relations: Weak gravitational fields
title_short	Renormalization in theories with modified dispersion relations: Weak gravitational fields
title_full	Renormalization in theories with modified dispersion relations: Weak gravitational fields
title_fullStr	Renormalization in theories with modified dispersion relations: Weak gravitational fields
title_full_unstemmed	Renormalization in theories with modified dispersion relations: Weak gravitational fields
title_sort	renormalization in theories with modified dispersion relations: weak gravitational fields
publishDate	2009
url	http://hdl.handle.net/20.500.12110/paper_03702693_v672_n3_p294_LopezNacir https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_03702693_v672_n3_p294_LopezNacir_oai
work_keys_str_mv	AT lopeznacird renormalizationintheorieswithmodifieddispersionrelationsweakgravitationalfields AT mazzitellifd renormalizationintheorieswithmodifieddispersionrelationsweakgravitationalfields
_version_	1809356908998426624

Renormalization in theories with modified dispersion relations: Weak gravitational fields

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