EFFECTIVE ACTION AND CHIRAL ANOMALIES IN ANY EVEN DIMENSIONAL SPACE

Abstract

General expression for gauge covariant anomalous current is obtained from the difference of left handed and right handed Abelian anomaly in 2n+2 dimensions by the method of Weil homomorphism. The general form of symmetric and asymmetric anomalies, gauge invariant Wess-Zumino effective action and anomaly free condition in 2n dimensions are summarized in one closed formula, showing the deep connections among all these topological properties of gauge fields and pseudascalar Goldstone fields in 2n and 2n+e dimensions.