Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-08-13
Phys.Rev.D77:124039,2008
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, 12 figures
Scientific paper
10.1103/PhysRevD.77.124039
In this paper we consider general relativity and its combination with scalar quantum electrodynamics (QED) as an effective quantum field theory at energies well below the Planck scale. This enables us to compute the one-loop quantum corrections to the Newton and Coulomb potential induced by the combination of graviton and photon fluctuations. We derive the relevant Feynman rules and compute the nonanalytical contributions to the one-loop scattering matrix for charged scalars in the nonrelativistic limit. In particular, we derive the post-Newtonian corrections of order $Gm/\text c^2 r$ from general relativity and the genuine quantum corrections of order $G\hbar/\text c^3 r^2$.
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