2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50995In this paper we investigated the problem of the existence of invariant meaures on the local gauge group. We prove that it is impossible to define a {\it finite} translationally invariant measure on the local gauge group $C^{\infty}({\bf R}^n,G)$(where $G$ is an arbitrary matrix Lie group).4 pages, REVTEXHigh Energy Physics - Theorytext