Asymptotic dynamics on the worldline for spinning particles

TL;DR

This paper revisits the derivation of the Generalized Wilson Line for asymptotic states in gauge theories using the supersymmetric worldline formalism for spinning particles, extending it to gluons and discussing potential applications.

Contribution

It provides a new derivation of the GWL for gluons within the supersymmetric worldline framework, enhancing understanding of soft corrections in gauge theories.

Findings

Derived GWL for gluons in Yang-Mills theory

Highlighted the role of worldline supersymmetry in soft background contributions

Extended exponentiation of next-to-soft gauge boson corrections

Abstract

There has been a renewed interest in the description of dressed asymptotic states a la Faddeev-Kulish. In this regard, a worldline representation for asymptotic states dressed by radiation at subleading power in the soft expansion, known as the Generalized Wilson Line (GWL) in the literature, has been available for some time, and it recently found applications in the derivation of factorization theorems for scattering processes of phenomenological relevance. In this paper we revisit the derivation of the GWL in the light of the well-known supersymmetric wordline formalism for the relativistic spinning particle. In particular, we discuss the importance of wordline supersymmetry to understand the contribution of the soft background field to the asymptotic dynamics. We also provide a derivation of the GWL for the gluon case, which was not previously available in the literature, thus extending the exponentiation of next-to-soft gauge boson corrections to Yang-Mills theory. Finally, we comment about possible applications in the current research about asymptotic states in scattering amplitudes for gauge and gravity theories and their classical limit.