Canonical Symmetry in a System with Singular Lagrangian and Ward Identities
Abstract: An algorithm to construct the generator of gauge transformation for a constrained Hamiltonian system is given. The relation among the coefficients connected with first-class constraints in the generator are cleared. Based on the generating functional in the phase space, the corresponding Ward identities in the canonical formalism are deduced. An application of above results to a model in field theory which is equivalent to the mixed Chern-Simons Lagrangian is discussed in detail.