2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/190768We exhibit the one-loop multi-gluon effective Lagrangian in any dimension for a field theory with a quasilocal background, using the background-field formalism. Specific results, including counter terms (up to 12 spacetime dimensions), have been derived, applied to the Yang-Mills theory and found to be in agreement with other string-inspired approaches.16 pages, LaTeXHigh Energy Physics - Theorytext