We consider generalized gauge transformations for SU(2) Yang-Mills theory involving products of field operators at different space-time points. The infinitesimal gauge transformations are explicitly constructed to third order in the coupling constant. Also the case of an SU(2) doublet in interaction with the Yang-Mills fields is worked out to third order.

• Received 29 March 1996

DOI:https://doi.org/10.1103/PhysRevD.54.5302