The Unified Scheme of the Effective Action and Chiral Anomalies in Any Even Dimensions

Based on the Weil homomorphism method, a unified scheme in which all the important topological properties of the pseudoscalar Goldstone boson and gauge fields in even dimensional space are described in one remarkably compact form is given. These properties include the effective action, the skyrmion anomalous current, Abelian anomaly, symmetric and asymmetric non-Abelian chiral anomalies, and anomaly free conditions.