Monte-Carlo approach to particle-field interactions and the kinetics of the chiral phase transition

Abstract

The kinetics of the chiral phase transition is studied within a linear quark-meson-$\ddot{I}ƒ$ model, using a Monte-Carlo approach to semiclassical particle-field dynamics. The meson fields are described on the mean-field level and quarks and antiquarks as ensembles of test particles. Collisions between quarks and antiquarks as well as the $q\overline{q}$ annihilation to $\ddot{I}ƒ$ mesons and the decay of $\ddot{I}ƒ$ mesons is treated, using the corresponding transition-matrix elements from the underlying quantum field theory, obeying strictly the rule of detailed balance and energy-momentum conservation. The approach allows to study fluctuations without making ad hoc assumptions concerning the statistical nature of the random process as necessary in Langevin-Fokker-Planck frameworks.

7 pages, 7 figures, contribution to the proceedings of the 31st Winter Workshop on Nuclear Dynamics 2015