Global canonical symmetry in the phase space path integral for a system with a singular Lagrangian

Abstract

Based on the phase space generating functional of the Green function for a system with asingular Lagrangian, the canonical Ward identities (CWI) and quantal conserved charges (QCC)are deduced under the global symmetry transformation in extended phase space. In general, theQCC are different from the classical ones. We give a preliminary application to Yang-Mills theory,the new QCC and gauge ghost vertices are obtained.