Local Monte Carlo Implementation of the Non-Abelian Landau-Pomeranchuk-Migdal Effect

The non-Abelian Landau-Pomeranschuk-Migdal (LPM) effect arises from the quantum interference between spatially separated, inelastic radiation processes in matter. A consistent probabilistic implementation of this LPM effect is a prerequisite for extending the use of Monte Carlo (MC) event generators to the simulation of jetlike multiparticle final states in nuclear collisions. Here, we propose a local MC algorithm, which is based solely on relating the LPM effect to the probabilistic concept of formation time for virtual quanta. This accounts probabilistically for the characteristic L² dependence of average parton energy loss and the characteristic 1/√ω modification of the non-Abelian LPM effect. Additional kinematic constraints are found to modify these L² and ω dependencies characteristically in accordance with analytical estimates.