We calculate the evolution of a jet shower due to medium induced splittings in the deep LPM regime. Due to the characteristic energy dependence of the formation time $t_{ \rm form}(\omega)= \sqrt{ \omega /\hat{ \bar{ q}}}$, the radiative break-up process exhibits turbulent characteristics, allowing for analytic predictions of various inclusive properties of the medium induced cascade in an inertial range of energies $T \ll \omega \ll E$, where $E$ is the energy of the jet and $T$ is the temperature of the medium.
Categories: hep-ph nucl-th