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: JOUR
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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
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_03702693_v505_n1-4_p236_Alvarez2023-10-03T15:28:50Z Covariant perturbation theory and the Randall-Sundrum picture Alvarez, E. Mazzitelli, F.D. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
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 JOUR
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
url http://hdl.handle.net/20.500.12110/paper_03702693_v505_n1-4_p236_Alvarez
work_keys_str_mv AT alvareze covariantperturbationtheoryandtherandallsundrumpicture
AT mazzitellifd covariantperturbationtheoryandtherandallsundrumpicture
_version_ 1782026260520632320

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