Quantum gravitational corrections to the nonrelativistic scattering potential of two massesPHYSICAL REVIEW D
AbstractWe 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.
Citation InformationNEJ Bjerrum-Bohr, JF Donoghue and BR Holstein. "Quantum gravitational corrections to the nonrelativistic scattering potential of two masses" PHYSICAL REVIEW D Vol. 67 Iss. 8 (2003)
Available at: http://works.bepress.com/barry_holstein/33/