2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53604We propose a perturbative improvement of the hierarchical approximation for gaussian models. The procedure is based on a relabeling of the momenta which allows one to express the symmetries of the hierarchical model using a simple multiplication group. The representations of this group are used to expand the action. The perturbative expansion is treated as a problem of symmetry breaking using Ward identity techniques.11 p., uses phyzzx.tex , UIowa 12-93High Energy Physics - TheoryHigh Energy Physics - Latticetext