2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/197997A natural procedure is introduced to replace the traditional, perturbatively generated counter terms to yield a formulation of covariant, self-interacting, nonrenormalizable scalar quantum field theories that has the added virtue of exhibiting a divergence-free perturbation analysis. To achieve this desirable goal it is necessary to reexamine the meaning of the free theory about which such a perturbation takes place.22 pages. Version accepted for publication; involves modest addition to the end of Sec. 5High Energy Physics - TheoryGeneral Relativity and Quantum CosmologyMathematical Physicstext