Deformation of symplectic structure and anomalous commutators in field theories

Abstract

We study anomalous commutators for field theories from the viewpoint of deformation of the symplectic structure of phase space. This deformation is connected with a phase holonomy associated with an adiabatic change of the field variables. In particular, we consider a chiral gauge field for which we get a novel explanation for Faddeev’s operator anomaly.