Conformal invariance and apparent universality of semiclassical gravity
| dc.creator | Garbarz, A. | |
| dc.creator | Giribet, G. | |
| dc.creator | Mazzitelli, F. D. | |
| dc.date | 2008-07-30 | |
| dc.date.accessioned | 2026-07-07T11:45:13Z | |
| dc.date.available | 2026-07-07T11:45:13Z | |
| dc.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 the coupling to the curvature ξis generic, for the special cases ξ=0 and ξ= 1/6 the large distance behavior of the expectation value <T^μ_ν> 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 <ϕ^2> and <T^μ_ν> in the far field limit. Thus, we show that the conformally invariant massless scalar field theory in a static spherically symmetric background exhibits such universality phenomenon in D\geq 4 dimensions. Also, using the one-loop effective action, we compute <T^μ_ν> for a weakly gravitating object. These results lead to the explicit expression of the expectation value <T^μ_ν> 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. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0807.4885 | |
| dc.identifier | http://arxiv.org/abs/0807.4885 | |
| dc.identifier | Phys.Rev.D78:084014,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.78.084014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/201808 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Conformal invariance and apparent universality of semiclassical gravity | |
| dc.type | text |