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Article
Quantum gravitational corrections to the nonrelativistic scattering potential of two masses
Physical Review D (2003)
  • N. E. J. Bjerrum-Bohr
  • John Donoghue, University of Massachusetts - Amherst
  • Barry R. Holstein
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.
Disciplines
Publication Date
April 29, 2003
Publisher Statement
DOI: 10.1103/PhysRevD.67.084033
Citation Information
N. E. J. Bjerrum-Bohr, John Donoghue and Barry R. 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/john_donoghue/137/