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

31st Winter Workshop on Nuclear Dynamics

Greiner, Carsten^1 ; Wesp, Christian^1 ; Van Hees, Hendrik^1,2 ; Meistrenko, Alex^1

Institut für Theoretische Physik, Goethe-Universität Frankfurt Am Main, Max-von-Laue-Straße 1, Frankfurt

D-60438, Germany^1

Frankfurt Institute for Advanced Studies, Ruth-Moufang-Straße, Frankfurt

D-60438, Germany^2

关键词: Chiral phase transitions;    Detailed balance;    Energy momentum;    Mean-field level;    Monte Carlo approach;    Particle-field interactions;    Quantum field theory;    Transition matrix elements;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/636/1/012007/pdf
DOI  :  10.1088/1742-6596/636/1/012007

来源: IOP

【 摘 要 】

The kinetics of the chiral phase transition is studied within a linear quark-meson-σ 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 annihilation to σ mesons and the decay of σ 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.