Aspects of finite electrodynamics in D=3 dimensions

TL;DR

This paper investigates how a minimal length affects physical observables in three-dimensional axionic electrodynamics, revealing a regularized potential and confining behavior using a gauge-invariant formalism.

Contribution

It introduces a novel analysis of finite electrodynamics in 3D with a minimal length, avoiding theta expansion and highlighting the quantum of length's role.

Findings

Interaction energy includes a regularized Bessel function

Presence of a linear confining potential

Calculation performed without theta expansion

Abstract

We study the impact of a minimal length on physical observables for a three-dimensional axionic electrodynamics. Our calculation is done within the framework of the gauge-invariant, but path-dependent, variables formalism which is alternative to the Wilson loop approach. Our result shows that the interaction energy contains a regularised Bessel function and a linear confining potential. This calculation involves no theta expansion at all. Once again, the present analysis displays the key role played by the new quantum of length.