Finite axionic electrodynamics from a new noncommutative approach

TL;DR

This paper derives a finite static potential in noncommutative axionic electrodynamics, revealing confinement of charges and emphasizing the significance of a minimal length quantum without using theta expansion.

Contribution

It introduces a new noncommutative approach to axionic electrodynamics that yields a finite potential and demonstrates charge confinement without theta expansion.

Findings

Static potential is a sum of Yukawa and linear terms.

Potential is ultraviolet finite.

Confinement of static charges is demonstrated.

Abstract

Using the gauge-invariant but path-dependent variables formalism, we compute the static quantum potential for noncommutative axionic electrodynamics (or axionic electrodynamics in the presence of a minimal length). Accordingly, we obtain an ultraviolet finite static potential which is the sum of a Yukawa-type and a linear potential, leading to the confinement of static charges. Interestingly, it should be noted that this calculation involves no theta expansion at all. The present result makes manifest the key role played by the new quantum of length in our analysis.