Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses

Preprint

8 November 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/0211072

Abstract

We treat general relativity as an effective field theory, obtaining the full nonanalytic component of the scattering matrix potential to one-loop order. The lowest order vertex rules for the resulting effective field theory are presented and the one-loop diagrams which yield the leading nonrelativistic post-Newtonian and quantum corrections to the gravitational scattering amplitude to second order in G are calculated in detail. The Fourier transformed amplitudes yield a nonrelativistic potential and our result is discussed in relation to previous calculations. The definition of a potential is discussed as well and we show how the ambiguity of the potential under coordinate changes is resolved.

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