Equilibrium correlations in charged fluids coupled to the radiation field

TL;DR

This paper presents an exact microscopic statistical analysis of particle and field correlations in a quantum charged fluid coupled to a classical radiation field, revealing detailed asymptotic behaviors.

Contribution

It introduces a novel exact approach using the Feynman-Kac-Ito representation to analyze particle-field correlations in equilibrium charged fluids.

Findings

Derived explicit large-distance correlation asymptotics.

Mapped particles to random charged wires for analysis.

Quantified the effect of the transverse field coupling.

Abstract

We provide an exact microscopic statistical treatment of particle and field correlations in a system of quantum charges in equilibrium with a classical radiation field. Using the Feynman-Kac-Ito representation of the Gibbs weight, the system of particles is mapped onto a collection of random charged wires. The field degrees of freedom can be integrated out, providing an effective pairwise magnetic potential. We then calculate the contribution of the transverse field coupling to the large-distance particle correlations. The asymptotics of the field correlations in the plasma are also exactly determined.