Scattering and gluon emission in a color field: a light-front Hamiltonian approach

TL;DR

This paper introduces a numerical light-front Hamiltonian method to study nonperturbative quark scattering and gluon emission in a classical color field, relevant for high-energy QCD phenomena.

Contribution

It develops an exact solution for the truncated Fock space of quark and quark-gluon states, enabling detailed analysis of coherence and multiple scattering effects.

Findings

Exact evolution of quark-gluon system in a classical color field.

Insights into coherence and multiple scattering in gluon emission.

Potential applications to jet quenching and subeikonal effects.

Abstract

We develop a numerical method to nonperturbatively study scattering and gluon emission of a quark from a colored target using a light-front Hamiltonian approach. The target is described as a classical color field, as in the Color Glass Condensate effective theory. The Fock space of the scattering system is restricted to the $\ket{q}+\ket{qg}$ sectors, but the time evolution of this truncated system is solved exactly. This method allows us to study the interplay between coherence and multiple scattering in gluon emission. It could be applied both to studying subeikonal effects in high energy scattering and to understanding jet quenching in a hot plasma.