  Following the non-perturbative light-front Hamiltonian formalism developed in
our preceding work [Phys.Rev.D 104 (2021) 5, 056014], we investigate the
momentum broadening of a quark jet inside a SU(3) colored medium. We perform
the numerical simulation of the real-time jet evolution in Fock spaces of a
single quark, a quark-gluon state, and coupled quark- and quark-gluon states at
various jet momenta $p^+$ and medium densities. With the obtained jet
light-front wavefunction, we extract the jet transverse momentum distribution,
the quenching parameter, and the gluon emission rate. We analyze the dependence
of momentum broadening on $p^+$, medium density, color configuration, spatial
correlation, and medium-induced gluon emission. For comparison, we also derive
analytically the expectation value of the transverse momentum of a quark-gluon
state in any color configuration and in an arbitrary spatial distribution in
the eikonal limit. This work can help understand jet momentum broadening in the
non-eikonal regime.

High Energy Physics - Phenomenology;Nuclear Theory