Analytical results for the confinement mechanism in QCD_3

TL;DR

This paper develops analytical methods to study the interaction of heavy quarks in three-dimensional QCD, deriving explicit static potentials and discussing confinement features similar to four-dimensional QCD.

Contribution

It introduces analytical techniques for QCD_3 and provides explicit expressions for static potentials, enhancing understanding of confinement in lower-dimensional QCD models.

Findings

Explicit static potentials for QCD_3 at various distances

Features of confinement similar to QCD_4

Analytical methods applicable to heavy quark interactions

Abstract

We present analytical methods for investigating the interaction of two heavy quarks in QCD_3 using the effective action approach. Our findings result in explicit expressions for the static potentials in QCD_3 for long and short distances. With regard to confinement, our conclusion reflects many features found in the more realistic world of QCD_4.