Covariant perturbation theory and the Randall-Sundrum picture

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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Autor principal: Mazzitelli, Francisco Diego
Publicado: 2001
Materias:
article
computer analysis
energy
mathematical analysis
physics
quantum theory
theory
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03702693_v505_n1-4_p236_Alvarez
http://hdl.handle.net/20.500.12110/paper_03702693_v505_n1-4_p236_Alvarez
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03702693_v505_n1-4_p236_Alvarez
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spelling paper:paper_03702693_v505_n1-4_p236_Alvarez2023-06-08T15:36:38Z Covariant perturbation theory and the Randall-Sundrum picture Mazzitelli, Francisco Diego article computer analysis energy mathematical analysis physics quantum theory theory 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. 2001 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03702693_v505_n1-4_p236_Alvarez http://hdl.handle.net/20.500.12110/paper_03702693_v505_n1-4_p236_Alvarez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic article
computer analysis
energy
mathematical analysis
physics
quantum theory
theory
spellingShingle article
computer analysis
energy
mathematical analysis
physics
quantum theory
theory
Mazzitelli, Francisco Diego
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.
author Mazzitelli, Francisco Diego
author_facet Mazzitelli, Francisco Diego
author_sort Mazzitelli, Francisco Diego
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03702693_v505_n1-4_p236_Alvarez
http://hdl.handle.net/20.500.12110/paper_03702693_v505_n1-4_p236_Alvarez
work_keys_str_mv AT mazzitellifranciscodiego covariantperturbationtheoryandtherandallsundrumpicture
_version_ 1768546024278720512

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