Short Distance Behavior of (2+1)-dimensional QCD

TL;DR

This paper analyzes the short-distance behavior of static color charges in (2+1)-dimensional QCD using semiclassical approximations, revealing analytical results that include classical and quantum contributions to the potential.

Contribution

It introduces a classical linearization approach to derive analytical expressions for the static potential in (2+1)-dimensional QCD, including quantum corrections.

Findings

Classical potential proportional to ln(lambda R)

Quantum corrections of order R^1/2 and R

Analytical expressions for short-distance static potential

Abstract

Within the framework of semiclassical QCD approximations the short distance behavior of two static color charges in (2+1)-dimensional QCD is discussed. A classical linearization of the field equations is exhibited and leads to analytical results producing the static potential. Beyond the dominant classical part proportional to ln lambda R, QCD contributions of order R^1/2 and R are found.