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arXiv · hep-th/0206236

Leading quantum gravitational corrections to scalar QED

N. E. J. Bjerrum-Bohr
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Abstract

We consider the leading post-Newtonian and quantum corrections to the non-relativistic scattering amplitude of charged scalars in the combined theory of general relativity and scalar QED. The combined theory 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, which 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 charged scalars. The result is discussed in relation to experimental verifications.

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N. E. J. Bjerrum-Bohr. 2007-09-03. Leading quantum gravitational corrections to scalar QED. https://doi.org/10.1103/physrevd.66.084023

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