Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-11-08
Phys.Rev. D68 (2003) 084005; Erratum-ibid. D71 (2005) 069904
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, 4 figures
Scientific paper
10.1103/PhysRevD.68.084005
We examine the corrections to the lowest order gravitational interactions of massive particles arising from gravitational radiative corrections. We show how the masslessness of the graviton and the gravitational self interactions imply the presence of nonanalytic pieces sqrt{-q^2}, ln-q^2, etc. in the form factors of the energy-momentum tensor and that these correspond to long range modifications of the metric tensor g_{\mu\nu} of the form G^2m^2/r^2, G^2m\hbar/r^3, etc. The former coincide with well known solutions from classical general relativity, while the latter represent new quantum mechanical effects, whose strength and form is necessitated by the low energy quantum nature of the general relativity. We use these results to define a running gravitational charge.
Donoghue John F.
Holstein Barry R.
Jannik Bjerrum-Bohr Niels Emil
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