Intrinsic regularization approach to chiral anomalies

With the help of the intrinsic regularization method, we present a new method which enables us to calculate the chiral anomalies in a much natural and self-consistent way. By checking Ward identities related to various diagrams involving anomaly, we analyze anomalies in the sigma model, in Abelian gauge theory, and in non-Abelian gauge theory as well. Our calculations prove to naively preserve all vector Ward identities and accordingly reproduce the famous ABJ-anomaly with no need of introducing any counterterms.