Scattering amplitudes for self-force

Tim Adamo, Andrea Cristofoli, Anton Ilderton, Sonja Klisch*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

The self-force expansion allows the study of deviations from geodesic motion due to the emission of radiation and its consequent back-reaction. We investigate this scheme within the on-shell framework of semiclassical scattering amplitudes for particles emitting photons or gravitons on a static, spherically symmetric background. We first present the exact scalar 2-point amplitudes for Coulomb and Schwarzschild, from which one can extract classical observables such as the change in momentum due to geodesic motion. We then present, for the first time, the 3-point semiclassical amplitudes for a scalar emitting a photon in Coulomb and a graviton on linearised Schwarzschild, outlining how the latter calculation can be generalized to the fully non-linear Schwarzschild metric. Our results are proper resummations of perturbative amplitudes in vacuum but, notably, are expressed in terms of Hamilton's principal function for the backgrounds, rather than the radial action.
Original languageEnglish
Article number065006
Pages (from-to)1-37
Number of pages37
JournalClassical and quantum gravity
Issue number6
Publication statusPublished - 12 Feb 2024

Keywords / Materials (for Non-textual outputs)

  • back-reaction
  • scattering amplitudes
  • self-force


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