Classical Yang-Mills observables from amplitudes

TL;DR

This paper develops a novel amplitude-based approach to analyze classical Yang-Mills dynamics, focusing on color charge changes and radiation during particle collisions, with applications at next-to-leading order.

Contribution

It introduces a new formalism for computing classical Yang-Mills observables using scattering amplitudes, emphasizing color dynamics and radiation.

Findings

Computed color change at next-to-leading order

Analyzed color radiation at leading order

Provided a framework connecting amplitudes to classical color dynamics

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.