Conformal invariance and apparent universality of semiclassical gravity

In a recent work, it has been pointed out that certain observables of the massless scalar field theory in a static spherically symmetric background exhibit a universal behavior at large distances. More precisely, it was shown that, unlike what happens in the case where the coupling to the curvature...

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Autores principales:	Garbarz, Alan Nicolás, Giribet, Gastón Enrique, Mazzitelli, Francisco Diego
Publicado:	2008
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v78_n8_p_Garbarz http://hdl.handle.net/20.500.12110/paper_15507998_v78_n8_p_Garbarz
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_15507998_v78_n8_p_Garbarz
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spelling	paper:paper_15507998_v78_n8_p_Garbarz2023-06-08T16:22:05Z Conformal invariance and apparent universality of semiclassical gravity Garbarz, Alan Nicolás Giribet, Gastón Enrique Mazzitelli, Francisco Diego In a recent work, it has been pointed out that certain observables of the massless scalar field theory in a static spherically symmetric background exhibit a universal behavior at large distances. More precisely, it was shown that, unlike what happens in the case where the coupling to the curvature ξ is generic, for the special cases ξ=0 and ξ=1/6 the large distance behavior of the expectation value Tμν turns out to be independent of the internal structure of the gravitational source. Here, we address a higher dimensional generalization of this result: We first compute the difference between a black hole and a static spherically symmetric star for the observables 2 and Tμν in the far field limit. Thus, we show that the conformally invariant massless scalar field theory in a static spherically symmetric background exhibits such a universality phenomenon in D≥4 dimensions. Also, using the one-loop effective action, we compute Tμν for a weakly gravitating object. These results lead to the explicit expression of the expectation value Tμν for a Schwarzschild-Tangherlini black hole in the far field limit. As an application, we obtain quantum corrections to the gravitational potential in D dimensions, which for D=4 are shown to agree with the one-loop correction to the graviton propagator previously found in the literature. © 2008 The American Physical Society. Fil:Garbarz, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Giribet, G. 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. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v78_n8_p_Garbarz http://hdl.handle.net/20.500.12110/paper_15507998_v78_n8_p_Garbarz
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description	In a recent work, it has been pointed out that certain observables of the massless scalar field theory in a static spherically symmetric background exhibit a universal behavior at large distances. More precisely, it was shown that, unlike what happens in the case where the coupling to the curvature ξ is generic, for the special cases ξ=0 and ξ=1/6 the large distance behavior of the expectation value Tμν turns out to be independent of the internal structure of the gravitational source. Here, we address a higher dimensional generalization of this result: We first compute the difference between a black hole and a static spherically symmetric star for the observables 2 and Tμν in the far field limit. Thus, we show that the conformally invariant massless scalar field theory in a static spherically symmetric background exhibits such a universality phenomenon in D≥4 dimensions. Also, using the one-loop effective action, we compute Tμν for a weakly gravitating object. These results lead to the explicit expression of the expectation value Tμν for a Schwarzschild-Tangherlini black hole in the far field limit. As an application, we obtain quantum corrections to the gravitational potential in D dimensions, which for D=4 are shown to agree with the one-loop correction to the graviton propagator previously found in the literature. © 2008 The American Physical Society.
author	Garbarz, Alan Nicolás Giribet, Gastón Enrique Mazzitelli, Francisco Diego
spellingShingle	Garbarz, Alan Nicolás Giribet, Gastón Enrique Mazzitelli, Francisco Diego Conformal invariance and apparent universality of semiclassical gravity
author_facet	Garbarz, Alan Nicolás Giribet, Gastón Enrique Mazzitelli, Francisco Diego
author_sort	Garbarz, Alan Nicolás
title	Conformal invariance and apparent universality of semiclassical gravity
title_short	Conformal invariance and apparent universality of semiclassical gravity
title_full	Conformal invariance and apparent universality of semiclassical gravity
title_fullStr	Conformal invariance and apparent universality of semiclassical gravity
title_full_unstemmed	Conformal invariance and apparent universality of semiclassical gravity
title_sort	conformal invariance and apparent universality of semiclassical gravity
publishDate	2008
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v78_n8_p_Garbarz http://hdl.handle.net/20.500.12110/paper_15507998_v78_n8_p_Garbarz
work_keys_str_mv	AT garbarzalannicolas conformalinvarianceandapparentuniversalityofsemiclassicalgravity AT giribetgastonenrique conformalinvarianceandapparentuniversalityofsemiclassicalgravity AT mazzitellifranciscodiego conformalinvarianceandapparentuniversalityofsemiclassicalgravity
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Conformal invariance and apparent universality of semiclassical gravity

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