2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/39070The conventional parametrizations of lattice static interquark force are shown to produce a mismatch of coupling constant near the matching point R_m \approx 0.2 fm. The running coupling constant of the background perturbation theory yields instead a selfconsistent description of lattice data over all interval of distances, 0.05 fm \la R \la 1.1.fm, and is an analytic function with the property of asymptotic freedom at small R and it is freezing at large R.9 pages, LaTeX 2e, submitted to Phys.Lett.BHigh Energy Physics - Latticetext