Interaction of electric charges in (2+1)D magnetic dipole gas

TL;DR

This paper investigates how electric charges interact within a dilute magnetic dipole gas, revealing a linear potential at short distances and a Coulomb potential with renormalized charge at large distances.

Contribution

It introduces a detailed analysis of electric charge interactions in a magnetic dipole gas, highlighting the emergence of a linear potential at short range and charge renormalization effects.

Findings

Linear interaction potential at small distances due to dipole cloud overlap

Coulomb potential with non-perturbative charge renormalization at large distances

Discussion of physical implications of the interaction behavior

Abstract

The interaction of electrically charged particles in a dilute gas of point--like magnetic dipoles is studied. We show that the interaction potential at small distances has a linear piece due to overlap of the dipole clouds gathered near electric sources. At large distances the potential becomes of the Coulomb type with non-perturbatively renormalized charge of the test particle. The physical applications of these results are discussed.