论文标题
转子机理下的广义阳米尔斯理论
Generalized Yang-Mills Theory under Rotor Mechanism
论文作者
论文摘要
本文遵循了先前关于转子模型下高阶衍生物的广义阿贝尔仪表场理论的工作，并将研究扩展到了最概括的非阿贝尔病例。我们发现，在洛伦兹仪条件下，来自阿贝尔案的转子机制很好地适用于非阿贝尔案。在转子机构下，量规场以$t_μ^a \ rightarrow \ box^nt_μ^a $变化。当字段衍生物的顺序为$ n = 0 $时，这将恢复回原始的Yang-Mills操作。我们的工作对阳米尔斯理论具有更高阶段衍生物的广泛概括。我们还计算了运动方程和通用非亚伯仪场理论的电流。最后，我们通过Ostrogradsky的结构研究了该理论的动态不稳定性问题，并分析了能量弹药张量的00组分。
This paper follows the previous work on generalized abelian gauge field theory of higher-order derivatives under rotor model and extends the study to the most generalized non-abelian case. We find that the rotor mechanism from the abelian case applies nicely to the non-abelian case under the Lorentz gauge condition. Under the rotor mechanism, the gauge field transforms as $T_μ^a \rightarrow \Box^n T_μ^a$. When the order of field derivative is $n=0$, this restores back to the original Yang-Mills action. Our work gives an extensive generalization of the Yang-Mills theory with higher-order field derivatives. We also compute the equation of motion and Noether's current of the generalized non-abelian gauge field theory. Finally, we study the dynamic instability issue of the theory by the Ostrogradsky construction and the analysis of the 00-component of the energy-momentum tensor.
