The effect of geometry on charge confinement in three dimensions

TL;DR

This paper investigates how the geometry of a three-dimensional BTZ black-hole background influences charge confinement and screening behavior in Maxwell and Maxwell-Chern-Simons theories, revealing non-confinement in this curved spacetime.

Contribution

It demonstrates that Maxwell theory is not confining in the BTZ black-hole background and explores the impact of curvature on screening in Maxwell-Chern-Simons models.

Findings

Maxwell theory is non-confining in the BTZ black-hole background.

Curvature affects the screening behavior of Maxwell-Chern-Simons models.

Contrast with flat spacetime confinement properties.

Abstract

We show that, in contrast to the flat case, the Maxwell theory is not confining in the background of the three dimensional BTZ black-hole (covering space). We also study the effect of the curvature on screening behavior of Maxwell-Chern-Simons model in this space-time.