2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/83133The dispersion relations in the real and imaginary parts of the meson self-energies are studied to check the consistency of the "renormalization" in cutoff field theory. It is shown that the dispersion relations are preserved by the "renormalization"even if the finite cutoff and regulator are introduced in the calculation by hand.21 pages, LateX, 9 eps figures. Submitted for publicationNuclear Theorytext