Relativistic kinetic equation for dense gases from quantum field theory

TL;DR

This paper derives a relativistic kinetic equation for dense gases of spin 0 particles from quantum field theory, extending classical models to include relativistic and dense effects using the Wigner-function formalism.

Contribution

It introduces a relativistic kinetic equation with collision terms derived from quantum field theory, including triple collisions, for dense gases of spin 0 particles.

Findings

Recovers the Boltzmann equation in the low-density limit.

Derives a relativistic extension of non-relativistic dense gas transport models.

Provides a framework for applying relativistic kinetic theory to various physical systems.

Abstract

We derive the relativistic kinetic equation and collision kernel for dense gases of spin $0$ particles from quantum field theory based on the Wigner-function formalism. The formalism developed by Degroot can be used as an effective way for density expansion of the kinetic equation. The kinetic equation obtained in the lowest order in density recovers the Boltzmann equation with a nonlocal binary collision term. Keeping this expansion procedure, we derive the triple collision term, which can be seen as a relativistic extension of correspondent works on the transport research about dense gases in the non-relativistic cases. Considering the widespread practicability in different physical systems, the kinetic equation for dense gases we obtain shall be put into good use.