  We present a derivation of the medium-induced gluon radiation spectrum beyond
the current limitation of soft gluon emission. Making use of the path integral
approach to describe the propagation of high-energy particles inside a medium,
we study the limiting case of a hard gluon emission. Analytical and numerical
results are presented and discussed within the multiple soft scattering
approximation. An ansatz interpolating between soft and hard gluon emissions is
provided. The Landau-Pomeranchuk-Migdal effect is observed in the expected
kinematic region.
