Abstract:
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.
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Citas:
---------- APA ----------
Garbarz, A., Giribet, G. & Mazzitelli, F.D.
(2008)
. Conformal invariance and apparent universality of semiclassical gravity. Physical Review D - Particles, Fields, Gravitation and Cosmology, 78(8).
http://dx.doi.org/10.1103/PhysRevD.78.084014---------- CHICAGO ----------
Garbarz, A., Giribet, G., Mazzitelli, F.D.
"Conformal invariance and apparent universality of semiclassical gravity"
. Physical Review D - Particles, Fields, Gravitation and Cosmology 78, no. 8
(2008).
http://dx.doi.org/10.1103/PhysRevD.78.084014---------- MLA ----------
Garbarz, A., Giribet, G., Mazzitelli, F.D.
"Conformal invariance and apparent universality of semiclassical gravity"
. Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 78, no. 8, 2008.
http://dx.doi.org/10.1103/PhysRevD.78.084014---------- VANCOUVER ----------
Garbarz, A., Giribet, G., Mazzitelli, F.D. Conformal invariance and apparent universality of semiclassical gravity. Phys Rev D Part Fields Gravit Cosmol. 2008;78(8).
http://dx.doi.org/10.1103/PhysRevD.78.084014