  A proper understanding of the physics of medium-induced gluon emissions is
known to be of critical importance to describe the properties of strongly
interacting matter under extreme conditions. In this regard, many theoretical
efforts have been directed towards obtaining analytical calculations which
might help us discerning the underlying physical picture and the dominant
dynamics for different regimes. These analytical approaches rely on
approximations whose validity is analyzed here by comparing their results with
a recently developed numerical evaluation which includes all-order resummation
of multiple scatterings. More specifically, by quantitatively comparing the
energy spectrum and rates, we observe that three different regimes -- each with
its corresponding physical picture -- emerge naturally from the equations: the
high-energy regime where the emission process is dominated by a single hard
scattering, the intermediate-energy regime where coherence effects among
multiple scatterings become fundamental, and the low-energy regime where the
dynamics is again dominated by a single scattering but where one must include
the suppression factor due to the probability of not having any further
scatterings (which is obtained through the resummation of virtual terms).
