Fractional statistics and confinement

TL;DR

This paper demonstrates that a pointlike composite with charge and magnetic moment exhibits confinement and fractional statistics in a three-dimensional pure gauge theory without a Chern-Simons term, contrasting with the screening behavior in Maxwell-Chern-Simons theory.

Contribution

It introduces a new model showing confinement and fractional statistics without relying on the Chern-Simons term, differing from previous theories.

Findings

The composite exhibits a confining potential for static interactions.

The composite obeys fractional statistics.

The result differs from Maxwell-Chern-Simons theory which shows screening.

Abstract

It is shown that a pointlike composite having charge and magnetic moment displays a confining potential for the static interaction while simultaneously obeying fractional statistics in a pure gauge theory in three dimensions, without a Chern-Simons term. This result is distinct from the Maxwell-Chern-Simons theory that shows a screening nature for the potential.