English

Classical Yang-Mills observables from amplitudes

High Energy Physics - Theory 2020-12-30 v2

Abstract

The double copy suggests that the basis of the dynamics of general relativity is Yang-Mills theory. Motivated by the importance of the relativistic two-body problem, we study the classical dynamics of colour-charged particle scattering from the perspective of amplitudes, rather than equations of motion. We explain how to compute the change of colour, and the radiation of colour, during a classical collision. We apply our formalism at next-to-leading order for the colour change and at leading order for colour radiation.

Keywords

Cite

@article{arxiv.2009.03842,
  title  = {Classical Yang-Mills observables from amplitudes},
  author = {Leonardo de la Cruz and Ben Maybee and Donal O'Connell and Alasdair Ross},
  journal= {arXiv preprint arXiv:2009.03842},
  year   = {2020}
}

Comments

33 pages + appendices; v2 references added and minor typos corrected

R2 v1 2026-06-23T18:23:46.141Z