2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/202507We use lattice sum rules for the static quark potential to determine the beta-function for symmetric and asymmetric lattices non-perturbatively. We also study the colour field distributions in excited gluonic states.9 pages, LATEX, 1 postscript figureHigh Energy Physics - LatticeNon-perturbative determination of beta-functions and excited string states from latticestext