Covariant perturbation theory and the Randall-Sundrum picture

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The effective action for quantum fields on a d-dimensional spacetime can be computed using a non-local expansion in powers of the curvature. We show explicitly that, for conformal fields and up to quadratic order in the curvature, the non-local effective action is equivalent to the d + 1 action for...

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Autores principales: Alvarez, E., Mazzitelli, F.D.
Formato: Artículo publishedVersion
Publicado: 2001
Materias:
article
computer analysis
energy
mathematical analysis
physics
quantum theory
theory
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03702693_v505_n1-4_p236_Alvarez
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_03702693_v505_n1-4_p236_Alvarez_oai
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id I28-R145-paper_03702693_v505_n1-4_p236_Alvarez_oai
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spelling I28-R145-paper_03702693_v505_n1-4_p236_Alvarez_oai2024-08-16 Alvarez, E. Mazzitelli, F.D. 2001 The effective action for quantum fields on a d-dimensional spacetime can be computed using a non-local expansion in powers of the curvature. We show explicitly that, for conformal fields and up to quadratic order in the curvature, the non-local effective action is equivalent to the d + 1 action for classical gravity in AdSd+1 restricted to a (d - 1)-brane. This generalizes previous results about quantum corrections to the Newtonian potential and provides an alternative method for making local a non-local effective action. The equivalence can be easily understood by comparing the Kallen-Lehmann decomposition of the classical propagator with the spectral representation of the non-local form factors in the quantum effective action. © 2001 Published by Elsevier Science B.V. 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_v505_n1-4_p236_Alvarez info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Phys Lett Sect B Nucl Elem Part High-Energy Phys 2001;505(1-4):236-242 article computer analysis energy mathematical analysis physics quantum theory theory Covariant perturbation theory and the Randall-Sundrum picture 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_v505_n1-4_p236_Alvarez_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
topic article
computer analysis
energy
mathematical analysis
physics
quantum theory
theory
spellingShingle article
computer analysis
energy
mathematical analysis
physics
quantum theory
theory
Alvarez, E.
Mazzitelli, F.D.
Covariant perturbation theory and the Randall-Sundrum picture
topic_facet article
computer analysis
energy
mathematical analysis
physics
quantum theory
theory
description The effective action for quantum fields on a d-dimensional spacetime can be computed using a non-local expansion in powers of the curvature. We show explicitly that, for conformal fields and up to quadratic order in the curvature, the non-local effective action is equivalent to the d + 1 action for classical gravity in AdSd+1 restricted to a (d - 1)-brane. This generalizes previous results about quantum corrections to the Newtonian potential and provides an alternative method for making local a non-local effective action. The equivalence can be easily understood by comparing the Kallen-Lehmann decomposition of the classical propagator with the spectral representation of the non-local form factors in the quantum effective action. © 2001 Published by Elsevier Science B.V.
format Artículo
Artículo
publishedVersion
author Alvarez, E.
Mazzitelli, F.D.
author_facet Alvarez, E.
Mazzitelli, F.D.
author_sort Alvarez, E.
title Covariant perturbation theory and the Randall-Sundrum picture
title_short Covariant perturbation theory and the Randall-Sundrum picture
title_full Covariant perturbation theory and the Randall-Sundrum picture
title_fullStr Covariant perturbation theory and the Randall-Sundrum picture
title_full_unstemmed Covariant perturbation theory and the Randall-Sundrum picture
title_sort covariant perturbation theory and the randall-sundrum picture
publishDate 2001
url http://hdl.handle.net/20.500.12110/paper_03702693_v505_n1-4_p236_Alvarez
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_03702693_v505_n1-4_p236_Alvarez_oai
work_keys_str_mv AT alvareze covariantperturbationtheoryandtherandallsundrumpicture
AT mazzitellifd covariantperturbationtheoryandtherandallsundrumpicture
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