2006/05/29 by M. S. Butt · 1 citation
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1103/physrevd.74.125007
published as Phys.Rev.D74:125007,2006 · 14 pages, 29 figures, format RevTex4
arxiv created 2006/05/29 · arxiv updated 2009/12/01
We consider the leading post-Newtonian and quantum corrections to the non-relativistic scattering amplitude of charged spin-1/2 fermions in the combined theory of general relativity and QED. The coupled Dirac-Einstein system is treated as an effective field theory. This allows for a consistent quantization of the gravitational field. The appropriate vertex rules are extracted from the action, and the non-analytic contributions to the 1-loop scattering matrix are calculated in the non-relativistic limit. The non-analytical parts of the scattering amplitude are known to give the long range, low energy, leading quantum corrections, are used to construct the leading post-Newtonian and quantum corrections to the two-particle non-relativistic scattering matrix potential for two massive fermions with electric charge.