In heavy-ion collisions, an abundant production of high-energy QCD jets
allows to study how these multiparticle sprays are modified as they pass
through the quark-gluon plasma. In order to shed new light on this process, we
compute the inclusive two-gluon rate off a hard quark propagating through a
color deconfined medium at first order in medium opacity. We explicitly impose
an energy ordering of the two emitted gluons, such that the "hard" gluon can be
thought of as belonging to the jet substructure while the other is a "soft"
emission (which can be collinear or medium-induced). Our analysis focusses on
two specific limits that clarify the modification of the additional angle- and
formation time-ordering of splittings. In one limit, the formation time of the
"hard" gluon is short compared to the "soft" gluon formation time, leading to a
probabilistic formula for production of and subsequent radiation off a
quark-gluon antenna. In the other limit, the ordering of formation is reverted,
which automatically leads to the fact that the jet substructure is resolved by
the medium. We observe in this case a characteristic delay: the jet radiates as
one color current (quark) up to the formation of the "hard" gluon, at which
point we observe the onset of radiation of the new color current (gluon). Our
computation supports a picture in which the in-medium jet dynamics are
described as a collection of subsequent antennas which are resolved by the
medium according to their transverse extent.Comment: 33 page