2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53443Scalar field theories regularized on a $D$ dimensional lattice are found to exhibit double scaling for a class of critical behaviors labeled by an integer $m\geq 2$. The continuum theory reached in the double scaling limit defines a universality class and is of a massless scalar with only a $m+1$ point self-interaction, but in the presence of a constant source. The upper critical dimension for this to occur is the same as that for renormalizability of the $m+1$ point interaction.8 pages, COLO-HEP/295, AZPH-TH/92-43High Energy Physics - TheoryHigh Energy Physics - Latticetext