Static potential and a new generalized connection in three dimensions

TL;DR

This paper calculates the static interaction potential in a three-dimensional pure gauge theory, revealing confining behavior similar to Maxwell-Chern-Simons theory at short distances using gauge-invariant variables.

Contribution

It introduces a new generalized connection in three dimensions and computes the static potential, demonstrating confining properties without Chern-Simons terms.

Findings

Static potential matches Maxwell-Chern-Simons theory at short distances

Confirms confining nature of the pure gauge theory

Uses gauge-invariant variables formalism for calculations

Abstract

For a recently proposed pure gauge theory in three dimensions, without a Chern-Simons term, we calculate the static interaction potential within the structure of the gauge-invariant variables formalism. The result coincides with that of the Maxwell-Chern-Simons theory in the short distance regime, which shows the confining nature of the potential.