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Quantum gravitational corrections to the nonrelativistic scattering potential of two masses
PHYSICAL REVIEW D
  • NEJ Bjerrum-Bohr
  • JF Donoghue
  • BR Holstein
Publication Date
2003
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 that the ambiguity of the potential under coordinate changes is resolved.
Disciplines
Comments
This is the pre-published version which is collected from arXiv. The published version is at http://prd.aps.org/abstract/PRD/v67/i8/e084033
Pages
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Citation Information
NEJ 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/