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.
Highlights
The general picture of a high-energy dilute probe scattering off a color field is a commonly used approach for many different processes in QCD phenomenology
We aim to apply this numerical method to different physical situations, such as a high-energy scattering with subeikonal effects, which requires choosing initial conditions and measured observables corresponding to the physical process of interest
We developed a numerical implementation of the time-evolution Hamiltonian formalism, time-dependent basis light-front quantization approach (tBLFQ), for the interactions of a jqi þ jqgi system with a target color field
Summary
The general picture of a high-energy dilute probe scattering off a color field is a commonly used approach for many different processes in QCD phenomenology. In order to study the phenomenon of jet quenching and radiative energy loss, one studies the situation when a high-energy parton passes through an extended colored medium and loses energy by gluon emission [2,3,4,5,6,7]. In both cases, one often performs analytical calculations in a kinematical approximation, where the probe has an infinitely large energy. The matrix element for a transition from a jqi basis state to another jqi basis state reads hβq0 ðkþq0 ; nxq0 ; nyq0 ; λq0 ; cq0 ÞjVAðxþÞjβqðkþq ; nxq; nyq; λq; cqÞi 2gAaþðr⃗ ⊥;q;
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