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arXiv · 1505.04738

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

Carsten Greiner·Christian Wesp·Hendrik van Hees·Alex Meistrenko
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Abstract

The kinetics of the chiral phase transition is studied within a linear quark-meson-$\sigma$ 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 $\sigma$ mesons and the decay of $\sigma$ 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.

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Carsten Greiner, Christian Wesp, Hendrik van Hees, Alex Meistrenko. 2015-05-18. Monte-Carlo approach to particle-field interactions and the kinetics of the chiral phase transition. https://doi.org/10.1088/1742-6596%2F636%2F1%2F012007

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