Coherent states, background fields, and double copy

TL;DR

This paper demonstrates that scattering amplitudes in gauge theories with coherent state backgrounds can be mapped to gravitational amplitudes in curved spacetimes via a classical double copy, especially in the self-dual sector.

Contribution

It introduces a method to relate gauge theory backgrounds to gravitational backgrounds at the amplitude level using a classical double copy approach.

Findings

Amplitudes on gauge backgrounds double copy to curved spacetime amplitudes.

The metric is constructed from gauge backgrounds through a natural classical double copy.

In the self-dual sector, backgrounds correspond to exact vacuum solutions in both theories.

Abstract

We show that scattering amplitudes on any gauge theory background admitting a coherent state description double copy to amplitudes in a curved spacetime. The metric of the spacetime is built from the gauge background using a notion of classical double copy which emerges naturally at the amplitude level. In the self-dual sector this map relates backgrounds which are exact vacuum solutions in gauge theory and gravity.