  This paper is a follow-up work of the previous study of the generalized
abelian gauge field theory under rotor model of order $n$ of higher order
derivatives. We will study the quantization of this theory using path integral
approach and find out the Feynman propagator (2-point correlation function) of
this generalized theory. We also investigate the generalized Proca action under
rotor model and derive the Feynman propagator for the massive case.
