“Coulomb + linear” form of the static QCD potential in operator–product expansion

Abstract

The static QCD potential is analyzed in operator-product expansion within potential-NRQCD framework when r≪ΛQCD−1. We show that the leading short-distance contribution to the potential, defined as a perturbatively computable Wilson coefficient, can be expressed, up to O(r2), as a “Coulomb + linear” potential. It coincides with the “Coulomb + linear” potential obtained previously from renormalon-dominance hypothesis. Non-perturbative contributions are O(r2) and subleading.