Generalized Abelian Gauge Field Theory under Rotor Model

Gauge field theory with rank-one field Tμ is a quantum field theory that describes the interaction of elementary spin-1 particles, of which being massless to preserve gauge symmetry. In this paper, we give a generalized, extended study of abelian gauge field theory under successive rotor model in general D-dimensional flat spacetime for spin-1 particles in the context of higher-order derivatives. We establish a theorem that n rotor contributes to the □nTμ fields in the integration-by-parts formalism of the action. This corresponds to the transformation of gauge field Tμ →□nTμ and gauge field strength Gμν →□nG μν in the action. The n = 0 case restores back to the standard abelian gauge field theory. The equation of motion and Noether’s conserved current of the theory are also studied.