Properties of noncommutative axionic electrodynamics

TL;DR

This paper investigates the static quantum potential in noncommutative axionic electrodynamics using a gauge-invariant formalism, revealing significant differences from the commutative case and similarities to non-Abelian theories.

Contribution

It introduces a novel analysis of noncommutative axionic electrodynamics and compares its potential profile to non-Abelian and symmetry-breaking Yang-Mills theories.

Findings

Static potential differs markedly from the commutative case.

Potential profile resembles that in non-Abelian axionic electrodynamics.

Results suggest connections to Yang-Mills theory with spontaneous symmetry breaking.

Abstract

Using the gauge-invariant but path-dependent variables formalism, we compute the static quantum potential for noncommutative axionic electrodynamics, and find a radically different result than the corresponding commutative case. We explicitly show that the static potential profile is analogous to that encountered in both non-Abelian axionic electrodynamics and in Yang-Mills theory with spontaneous symmetry breaking of scale symmetry.