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

Source: [Monte-Carlo approach to particle-field interactions and the kinetics of the chiral phase transition](<https://www.sota2.com/research/paper/68fa324c1e209131ce886f15>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T19:25:51.466Z

Authors: Carsten Greiner, Christian Wesp, Hendrik van Hees, Alex Meistrenko

Published: 2015-05-18T17:58:24.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1505.04738>)

[PDF](<https://arxiv.org/pdf/1505.04738.pdf>)