Relativistic diffusion in random gluon fields

TL;DR

This paper demonstrates that the evolution of particles with a continuous mass spectrum in a random Yang-Mills field can be effectively modeled as a relativistic diffusion process, with the diffusion generator derived from quantum field approximations.

Contribution

It introduces a relativistic diffusion model for particles in random gluon fields, connecting quantum field approximations to stochastic particle dynamics.

Findings

Particle evolution approximated by relativistic diffusion.

Kubo's generator derived from Liouville operator expectations.

Provides a link between quantum fields and stochastic processes.

Abstract

We consider Wong equations for a particle with a continuous mass spectrum in a random Yang-Mills field approximating the quantum field at finite temperature. We show that particle time evolution can be approximated by a relativistic diffusion. Kubo's generator of the relativistic diffusion is defined as an expectation value of the square of the Liouville operator.