Field of homogeneous Plane in Quantum Electrodynamics

TL;DR

This paper investigates quantum electrodynamics with a matter field on a singular defect plane, calculating the fermion propagator and electromagnetic field, and analyzing quantum corrections near the defect.

Contribution

It provides the first calculation of fermion propagator and electromagnetic field in QED with a defect plane, including quantum corrections in leading order perturbation theory.

Findings

Electromagnetic field is constant at large distances from the defect.

Quantum corrections near the defect are computed in leading order.

Results agree with classical predictions at large distances.

Abstract

We study quantum electrodynamics coupled to the matter field on singular background, which we call defect. For defect on the infinite plane we calculated the fermion propagator and mean electromagnetic field. We show that at large distances from the defect plane, the electromagnetic field is constant what is in agreement with the classical results. The quantum corrections determining the field near the plane are calculated in the leading order of perturbation theory.