Radiation and Reaction at One Loop
Abstract
We study classical radiation fields at next-to-leading order using the methods of scattering amplitudes. The fields of interest to us are sourced when two massive, point-like objects scatter inelastically, and can be computed from one-loop amplitudes. We show that the real and imaginary parts of the amplitudes both play important but physically distinct roles in the radiation field. The amplitude's imaginary part directly computes the portion of radiation emitted under the influence of a body's self-field, i.e., through radiation reaction. This aspect of radiation reaction is directly linked to one-loop Compton amplitudes in electrodynamics, Yang-Mills theory and gravity. We also discuss the fascinating interplay between renormalisation, radiation reaction and classical field theory from this perspective.
Cite
@article{arxiv.2303.06211,
title = {Radiation and Reaction at One Loop},
author = {Asaad Elkhidir and Donal O'Connell and Matteo Sergola and Ingrid A. Vazquez-Holm},
journal= {arXiv preprint arXiv:2303.06211},
year = {2024}
}
Comments
v2: 74 pages, tikz figures, ancillary files attached. This is a substantial revision, greatly improving the discussion