Canonical Ward Identities in Field Theory for a System with Derivatives of Higher Order

The generating functional of Green Function for a system with derivative of higher-order is invariance under the transformation of canonical variables in phase space. From which the Ward identities in canonical form for regular and singular system have been derived respectively. Also the quantization for a generalized system is given which is equivalent to the SC Theory. Then,the Faddeey-Popov ghostparticle field is proved to be absent in quantization of functional integral. Thus the Ward Identities in canonical form are applied to the above system, and some relationship between propagators and proper vertices for the fields are given.