Deformation of symplectic structure and anomalous commutators

Abstract

By applying the path integral method to two interacting systems, the Berry``s phase is obtained as an additive action to the conventional dynamical action function. And anomalous commutators for field theories are studied from the viewpoint that the above phase holonomy modifies the symplectic structure of phase space. In particular a chiral gauge model is considered and a novel explanation for Faddeev``s operator anomaly is given.