A local Monte Carlo implementation of the non-abelian Landau-Pomerantschuk-Migdal effect

Abstract

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 jet-like multi-particle 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. We demonstrate that this implementation of formation time physics alone accounts probabilistically for all analytically known features of the non-abelian LPM-effect, including the characteristic L^2-dependence of average parton energy loss and the characteristic $\sqrt{\omega }$-modification of the gluon energy distribution. Additional kinematic constraints are found to modify these L^2- and $\omega$-dependencies characteristically in accordance with analytical estimates.

4 pages, Revtex, 2 figures, v2: minor changes, accepted for publication in PRL

References in corpus (4)

• Heavy ion event generator HYDJET++ (HYDrodynamics plus JETs)
• Perturbative QCD Calculations of Elliptic Flow and Shear Viscosity in Au+Au Collisions at $\sqrt{s_{NN}}=200$ GeV
• A Monte Carlo Model for 'Jet Quenching'
• Parton shower evolution in a 3-d hydrodynamical medium

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• A systematic comparison of jet quenching in different fluid-dynamical models
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• The medium-modified $g\to c\bar{c}$ splitting function in the BDMPS-Z formalism
• Systematic analysis of the incoming quark energy loss in cold nuclear matter
• Coherent Radiative Parton Energy Loss beyond the BDMPS-Z Limit
• What can we learn from dijets? A systematic study with VNI/BMS
• Advancing QCD-based calculations of energy loss
• Monte Carlo simulations of jet quenching in heavy ion collisions
• Deriving a parton shower for jet thermalization in QCD plasmas