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

CCAST (World Laboratory) - P.O. Box 8730, Beijing 100080, PRC Department of Applied Physics, Beijing Polytechnic University - Beijing 100022, PRC

Received: 6 September 1995
Accepted: 18 March 1996

Abstract

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