Noncommutative Electrodynamics with covariant coordinates

TL;DR

This paper explores noncommutative electrodynamics using covariant coordinates, proposing a new interpretative scheme, constructing examples, and revealing modifications to dispersion relations that differ from previous approaches.

Contribution

It introduces a novel scheme for interpreting noncommutative electrodynamics with covariant coordinates and constructs explicit examples demonstrating modified dispersion relations.

Findings

Constructed a constant field and a plane wave example.

Found a modification of the dispersion relation.

Results differ from those obtained via the Seiberg-Witten map.

Abstract

We study Noncommutative Electrodynamics using the concept of covariant coordinates. We propose a scheme for interpreting the formalism and construct two basic examples, a constant field and a plane wave. Superposing these two, we find a modification of the dispersion relation. Our results differ from those obtained via the Seiberg-Witten map.