Strong Field, Noncommutative QED

TL;DR

This paper reviews how strong background fields and noncommutative geometry modify quantum electrodynamics, exploring photon and fermion propagation, scattering deviations, and proposing a gauge-invariant framework.

Contribution

It introduces a new interpretation of photon dispersion relations and a novel method for constructing gauge-invariant variables in noncommutative QED.

Findings

Noncommutative effects significantly alter fermion and photon propagation.

Photon dispersion relations are reinterpreted beyond constant backgrounds.

Deviations from standard QED are primarily due to noncommutative photons.

Abstract

We review the effects of strong background fields in noncommutative QED. Beginning with the noncommutative Maxwell and Dirac equations, we describe how combined noncommutative and strong field effects modify the propagation of fermions and photons. We extend these studies beyond the case of constant backgrounds by giving a new and revealing interpretation of the photon dispersion relation. Considering scattering in background fields, we then show that the noncommutative photon is primarily responsible for generating deviations from strong field QED results. Finally, we propose a new method for constructing gauge invariant variables in noncommutative QED, and use it to analyse the physics of our null background fields.