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General Relativity from Scattering Amplitudes

Authors
  • Bjerrum-Bohr, N.E.
  • Damgaard, Poul
  • Festuccia, Guido
  • Planté, Ludovic
  • Vanhove, Pierre
Publication Date
Jul 02, 2018
Source
HAL-CEA
Keywords
Language
English
License
Unknown
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Abstract

We outline the program to apply modern quantum field theory methods to calculate observables in classical general relativity through a truncation to classical terms of the multi-graviton two-body on-shell scattering amplitudes between massive fields. Since only long-distance interactions corresponding to non-analytic pieces need to be included, unitarity cuts provide substantial simplifications for both post-Newtonian and post-Minkowskian expansions. We illustrate this quantum field theoretic approach to classical general relativity by computing the interaction potentials to second order in the post-Newtonian expansion, as well as the scattering functions for two massive objects to second order in the post-Minkowskian expansion. We also derive an all-order exact result for gravitational light-by-light scattering.

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