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.

中文翻译：

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转子模型下的广义阿贝尔规范场理论

具有一阶场的规范场论吨μ是一种量子场论，描述了基本自旋 1 粒子的相互作用，其中无质量以保持规范对称性。在本文中，我们对连续转子模型下的阿贝尔规范场理论进行了广义的扩展研究D高阶导数背景下自旋 1 粒子的维平面时空。我们建立一个定理n转子有助于□n吨μ动作的按部分集成形式中的字段。这对应于规范场的变换吨μ →□n吨μ并测量场强Gμν →□nG μν在行动中。这n = 0案例恢复到标准的阿贝尔规范场论。还研究了运动方程和诺特守恒流理论。