A study of potential non-relativistic QED pairs in the Keldysh-Schwinger formalism

TL;DR

This paper develops a non-relativistic QED framework using the Keldysh-Schwinger formalism to describe the out-of-equilibrium dynamics of heavy particle-antiparticle pairs in a plasma, deriving equations for their spectrum and interactions.

Contribution

It introduces a novel approach combining non-relativistic QED with the Keldysh-Schwinger formalism to analyze two-body correlators and their dynamics in plasma environments.

Findings

Derived Kadanoff-Baym-like equations for two-body correlators.

Showed consistency with open quantum system models in the Coulomb limit.

Described recombination and dissociation processes via electric dipole interactions.

Abstract

Potential non-relativistic Quantum Electrodynamics and the Keldysh-Schwinger formalism is used to derive Kadanoff-Baym-like equations for two-body field correlators. These cover the out-off-equilibrium dynamics and spectrum of heavy particle-antiparticle pairs under ultra-soft transitions inside a plasma background, whose temperature is much smaller compared to the typical relative pair momentum. It is shown that the dynamical equation for the pair phase-space distribution function, containing recombination and dissociation via the electric dipole interactions, is consistent with the previous open quantum system treatment of bound states in the Coulomb limit of the two-body spectral function.