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.
Dualism is a metaphysical, philosophical concept which refers to two irreducible, heterogeneous principles. This idea is known to appear in a lot of places in the universe, however a rigorous mathematical definition and theory is not yet established
in a formal way. In this paper, we develop a novel theory to represent philosophical dualism in a formal mathematical construction with the context of quantum physics, known as the theory of duality. We will use traditional Chinese philosophical concepts in duality as the foundation as it greatly resembles to the mathematical and physical construction for our purpose. This paper will demonstrate how to convolve metaphysical idea into mathematics and physics.
Conventional quantum field theory (QFT) is set on flat Minkowski spacetime, where all computable quantities are calculated from the flat metric $eta_{mu u}$. We can redefine the metric of spacetime from the Dirac algebra. In this paper, we study how
an quantum electrodynamic interaction can alter the normal gamma matrix to an effective one and result in a shift in the metric perturbatively. We also study how the spin operator is changed under the interaction that contribute to an effective spin operator.
Gauge field theory with rank-one field $T_{mu}$ 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 abeli
an 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 $Box^n T^{mu}$ fields in the integration-by-parts formalism of the action. This corresponds to the transformation of gauge field $T^{mu} rightarrow Box^n T^{mu}$ and gauge field strength $G_{mu u}rightarrow Box^n G_{mu u} $ in the action. The $n=0$ case restores back to the standard abelian gauge field theory. The equation of motion and Noethers conserved current of the theory are also studied.
