Generalized Abelian Gauge Field Theory under Rotor Model

Abstract

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 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 ${\square }^n{T}^{\mu }$ fields in the integration-by-parts formalism of the action. This corresponds to the transformation of gauge field $T^{\mu }\to {\square }^n{T}^{\mu }$ and gauge field strength $G_{\mu \nu }\to {\square }^n{G}_{\mu \nu }$ 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.

17 pages, 0 figure. Accepted to publish on Mod. Phys. Lett. A

References in corpus (5)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Third order equations of motion and the Ostrogradsky instability
• On the instability of classical dynamics in theories with higher derivatives
• Stability in the higher derivative Abelian gauge field theory
• A stable higher-derivative theory with the Yang-Mills gauge symmetry

Cited by in corpus (3)

• Generalized Yang-Mills Theory under Rotor Mechanism
• Generalized Standard Model with higher-order derivatives under Rotor Mechanism and its Quantization
• Quantization of Generalized Abelian Gauge Field Theory under Rotor Model