2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/193494In this paper, we apply the proper-time method to generate the Lorentz-violating Chern-Simons terms in the four-dimensional Yang-Mills and non-linearized gravity theories. It is shown that the coefficient of the induced Chern-Simons term is finite but regularization dependent.11 pages, Revtex4High Energy Physics - Theorytext