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We derive the distribution of energy and momentum transmitted from a primaryfast parton and its medium-induced bremsstrahlung gluons to a thermalizedquark-gluon plasma. Our calculation takes into account the important and thusfar neglected effects of quantum interference between the resulting colorcurrents. We use our result to obtain the rate at which energy is absorbed bythe medium as a function of time and find that the rate is modified by thequantum interference between the primary parton and secondary gluons. ThisLandau-Pomeranchuk-Migdal type interference persists for time scales relevantto heavy ion phenomenology. We further couple the newly derived source ofenergy and momentum deposition to linearized hydrodynamics to obtain the bulkmedium response to realistic parton propagation and splitting in thequark-gluon plasma. We find that because of the characteristic large anglein-medium gluon emission and the multiple sources of energy deposition in aparton shower, formation of well defined Mach cones by energetic jets in heavyion reactions is not likely.

Parton showers as sources of energy-momentum deposition in the QGP and their implication for shockwave formation at RHIC and at the LHC