A Conducting surface in Lee-Wick electrodynamics

TL;DR

This paper explores how Lee-Wick electrodynamics behaves near a conducting surface, revealing that traditional image methods do not apply due to unique boundary conditions and gauge field interactions.

Contribution

It provides the first calculation of the gauge field propagator and interaction energy near a conducting surface within Lee-Wick electrodynamics, highlighting differences from classical electromagnetism.

Findings

The propagator for the gauge field is explicitly calculated.

The interaction between a charge and the conducting plate is derived.

The image method is shown to be invalid in Lee-Wick electrodynamics.

Abstract

The Lee-Wick electrodynamics in the vicinity of a conducting plate is investigated. The propagator for the gauge field is calculated and the interaction between the plate and a point-like electric charge is computed. The boundary condition imposed on the vector field is taken to be the one that vanishes, on the plate, the normal component of the dual field strength to the plate. It is shown that the image method is not valid in Lee-Wick electrodynamics.