# Asymptotic Charges and Coherent States in QCD

## TL;DR

This paper explores the relationship between asymptotic symmetries and coherent states in QCD, analyzing how quantum corrections affect asymptotic charge conservation and soft theorems at one-loop order.

## Contribution

It introduces a detailed analysis of the quantum corrections to asymptotic charges in non-Abelian gauge theories using the Faddeev-Kulish approach, highlighting the dependence on soft limit orderings.

## Key findings

- Conservation of asymptotic charges depends on the soft limit ordering.
- One-loop corrections to charges are proportional to the soft current.
- The study clarifies the role of quantum effects in asymptotic symmetries in QCD.

## Abstract

We study the connection between asymptotic symmetries in non-Abelian gauge theories and the generalised coherent states following from the application to QCD of the Faddeev-Kulish approach to asymptotic dynamics. We compute the large gauge transformation properties of the soft evolution operators and use this to define the quantum corrected, non-linear contribution to the asymptotic charges. We then compute the one-loop, leading IR-divergent, correction to matrix elements of the charges inserted between dressed scattering states and show that the results depend on a particular order of soft limits. For one choice of ordering we find that the conservation law for the asymptotic charges is not corrected, while for a second we find a correction proportional to the one-loop soft current.