Currents and the anomalies in chiral gauge theories: Dynamical approach in higher dimensions

An integral representation for the fermion effective action for chiral gauge theories in d = 2n space-time dimensions is given which is able to reproduce the mismatch, as suggested by differential geometric methods, between the covariant current and the consistent current. Both types of anomalies (i.e. covariant as well as consistent) can also be calculated without having to evaluate Feynman diagrams or to introduce any local counterterms. (orig.)