Comparison of Boltzmann Kinetics with Quantum Dynamics for a Chiral Yukawa Model Far From Equilibrium
| dc.creator | Lindner, Manfred | |
| dc.creator | Muller, Markus Michael | |
| dc.date | 2007-10-16 | |
| dc.date.accessioned | 2026-07-07T11:12:15Z | |
| dc.date.available | 2026-07-07T11:12:15Z | |
| dc.description | Boltzmann equations are often used to describe the non-equilibrium time-evolution of many-body systems in particle physics. Prominent examples are the computation of the baryon asymmetry of the universe and the evolution of the quark-gluon plasma after a relativistic heavy ion collision. However, Boltzmann equations are only a classical approximation of the quantum thermalization process, which is described by so-called Kadanoff-Baym equations. This raises the question how reliable Boltzmann equations are as approximations to the complete Kadanoff-Baym equations. Therefore, we present in this article a detailed comparison of Boltzmann and Kadanoff-Baym equations in the framework of a chirally invariant Yukawa-type quantum field theory including fermions and scalars. The obtained numerical results reveal significant differences between both types of equations. Apart from quantitative differences, on a qualitative level the late-time universality respected by Kadanoff-Baym equations is severely restricted in the case of Boltzmann equations. Furthermore, Kadanoff-Baym equations strongly separate the time scales between kinetic and chemical equilibration. In contrast to this standard Boltzmann equations cannot describe the process of quantum-chemical equilibration, and consequently also cannot feature the above separation of time scales. | |
| dc.description | 17 pages, 8 figures, REVTeX 4 | |
| dc.identifier | https://arxiv.org/abs/0710.2917 | |
| dc.identifier | http://arxiv.org/abs/0710.2917 | |
| dc.identifier | Phys.Rev.D77:025027,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.77.025027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/191317 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Comparison of Boltzmann Kinetics with Quantum Dynamics for a Chiral Yukawa Model Far From Equilibrium | |
| dc.type | text |