https://doi.org/10.1140/epja/i2018-12464-y
Regular Article - Theoretical Physics
Kinetics of the chiral phase transition in a linear
model
1
Institut für theoretische Physik, Goethe-Universität Frankfurt am Main, Max-von-Laue-Straße 1, 60438, Frankfurt, Germany
2
Frankfurt Institute for Advanced Studies, Ruth-Moufang-Straße 1, 60438, Frankfurt, Germany
* e-mail: hees@th.physik.uni-frankfurt.de
Received:
4
October
2017
Accepted:
29
December
2017
Published online:
19
February
2018
We study the dynamics of the chiral phase transition in a linear quark-meson model using a novel approach based on semiclassical wave-particle duality. The quarks are treated as test particles in a Monte Carlo simulation of elastic collisions and the coupling to the
meson, which is treated as a classical field, via a kinetic approach motivated by wave-particle duality. The exchange of energy and momentum between particles and fields is described in terms of appropriate Gaussian wave packets. It has been demonstrated that energy-momentum conservation and the principle of detailed balance are fulfilled, and that the dynamics leads to the correct equilibrium limit. First schematic studies of the dynamics of matter produced in heavy-ion collisions are presented.
© SIF, Springer-Verlag GmbH Germany, part of Springer Nature, 2018