Journal or Book Title
PHYSICAL REVIEW D
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 that the ambiguity of the potential under coordinate changes is resolved.
Bjerrum-Bohr, NEJ; Donoghue, JF; and Holstein, BR, "Quantum gravitational corrections to the nonrelativistic scattering potential of two masses" (2003). PHYSICAL REVIEW D. 105.