Local Monte Carlo implementation of the non-Abelian Landau-Pomeranschuk-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/square root(omega) modification of the non-Abelian LPM effect. Additional kinematic constraints are found to modify these L2 and omega dependencies characteristically in accordance with analytical estimates.