QUANTAL GLOBAL SYMMETRY FOR A GAUGE-INVARIANT SYSTEM

Based on the configuration-space generating functional obtained by usi ng the Faddeev-Popov trick for a gauge-invariant system, the Ward iden tities for global transformation are derived. The conservation laws at the quantum level fcr global symmetry transformation are also deduced . A preliminary application of the present formulation to non-Abelian Chem-Simons (CS) theory is given. The Ward identity and quantal BRS ch arge under the BRS transformation are deduced. The quantal conserved a ngular momentum is obtained and the fractional spin for CS theories is discussed.