Perturbative-nonperturbative interference in the static QCD interaction at small distances

TL;DR

This paper investigates the interplay between perturbative and nonperturbative effects in the static quark-antiquark interaction at small distances, revealing a universal linear term and discussing its implications for quantum chromodynamics (QCD) corrections.

Contribution

It introduces a systematic analysis of perturbative-nonperturbative interference in static QCD interactions using background perturbation theory and field correlators, highlighting a universal linear term at small distances.

Findings

Identification of a universal linear term in the static quark-antiquark potential.

Discussion of modifications due to subleading terms and implications for OPE corrections.

Insights into the systematic corrections in QCD at short distances.

Abstract

Short distance static quark--antiquark interaction is studied systematically using the background perturbation theory with nonperturbative background described by field correlators. A universal linear term $\frac{6N_c\alpha_s\sigma r}{2\pi}$ is observed at small distance $r$ due to the interference between perturbative and nonperturbative contributions. Possible modifications of this term due to additional subleading terms are discussed and implications for systematic corrections to OPE are formulated.