Relativistic diffusive motion in thermal electromagnetic fields

Abstract

We discuss relativistic dynamics in a random electromagnetic field which can be considered as a high temperature limit of the quantum electromagnetic field in a heat bath (cavity) moving with a uniform velocity w. We derive a diffusion approximation for particle's dynamics generalizing the diffusion of Schay and Dudley. It is shown that Jüttner distribution is the equilibrium state of the diffusion.

Einstein gravity of a diffusing fluid

“…We approximate interactions by a diffusion. We have studied such an approximation in [16] where an interaction of relativistic charged particles with the CMB radiation is treated as a diffusion model. In the same way we can show that the quark-gluon interaction leads to a diffusion of quarks [17].…”

Relativistic Diffusion of Quarks in Random Gluon Fields

“…[35]). In this paper we extend the covariant calculation of the diffusion in momentum space derived for QED at finite temperature in [36] to QCD. For this purpose we apply the Wong approximation for quark dynamics in QCD.…”

“…We assume that the non-commutativity of quantum gauge fields can be neglected at high temperature in the calculation of the correlation functions (this can be shown in perturbation theory in the state(30)). Then, the symmetry properties with respect to an exchange of indices together with the Bianchi identities (29) lead to the representation ( the Bianchi identities in the form(29) allow to apply the same methods for the two-point function as in the Abelian case of[36]) F a µν (p, x − ps))F b σρ (p, x − ps ′ ) ≡ δ ab G p µν;σρ (p(s ′ − s); s, s ′ , w),…”