Quark-antiquark potential in the analytic approach to QCD

TL;DR

This paper develops a new analytic approach to QCD to construct the quark-antiquark potential, demonstrating confinement at large distances and asymptotic freedom at short distances.

Contribution

It introduces a novel analytic running coupling in QCD derived from the analytization of the renormalization group equation, providing a unified potential model.

Findings

Potential exhibits confinement at large distances.

Potential aligns with asymptotic freedom at short distances.

Higher loop corrections and scheme dependence are discussed.

Abstract

The quark-antiquark potential is constructed by making use of a new analytic running coupling in QCD. This running coupling arises under ``analytization'' of the renormalization group equation. The rising behavior of the quark-antiquark potential at large distances, which provides the quark confinement, is shown explicitly. At small distances, the standard behavior of this potential originating in the QCD asymptotic freedom is revealed. The higher loop corrections and the scheme dependence of the approach are briefly discussed.