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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todo:paper_15507998_v78_n8_p_Garbarz2023-10-03T16:24:08Z Conformal invariance and apparent universality of semiclassical gravity Garbarz, A. Giribet, G. Mazzitelli, F.D. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15507998_v78_n8_p_Garbarz |
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Universidad de Buenos Aires |
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I-28 |
| repository_str |
R-134 |
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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. |
| format |
JOUR |
| author |
Garbarz, A. Giribet, G. Mazzitelli, F.D. |
| spellingShingle |
Garbarz, A. Giribet, G. Mazzitelli, F.D. Conformal invariance and apparent universality of semiclassical gravity |
| author_facet |
Garbarz, A. Giribet, G. Mazzitelli, F.D. |
| author_sort |
Garbarz, A. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_15507998_v78_n8_p_Garbarz |
| work_keys_str_mv |
AT garbarza conformalinvarianceandapparentuniversalityofsemiclassicalgravity AT giribetg conformalinvarianceandapparentuniversalityofsemiclassicalgravity AT mazzitellifd conformalinvarianceandapparentuniversalityofsemiclassicalgravity |
| _version_ |
1807321753243877376 |