The Radial Action from Probe Amplitudes to All Orders

Uri Kol, Donal O'connell, Ofri Telem*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We extract the relativistic classical radial action from scattering amplitudes, to all orders in perturbation theory, in the probe limit. Our sources include point charges and monopoles, as well as the Schwarzschild and pure-NUT gravitational backgrounds. A characteristic relativistic effect, that scattering trajectories may wind around these sources any number of times, can be recovered when all-order amplitudes are available. We show that the amplitude for scattering a probe off a pure NUT is given by the solution of a transcendental equation involving continued fractions, and explain how to solve this equation to any desired loop order.
Original languageEnglish
Article number141
Pages (from-to)1-34
Number of pages34
JournalJournal of High Energy Physics
Publication statusPublished - 22 Mar 2022


  • hep-th
  • gr-qc
  • hep-ph


Dive into the research topics of 'The Radial Action from Probe Amplitudes to All Orders'. Together they form a unique fingerprint.

Cite this