2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/181960The Adler-Bardeen theorem has been proved only as a statement valid at all orders in perturbation theory, without any control on the convergence of the series. In this paper we prove a nonperturbative version of the Adler-Bardeen theorem in $d=2$ by using recently developed technical tools in the theory of Grassmann integration.28 pages, 14 figuresHigh Energy Physics - Theorytext