转子机构下的广义Yang-Mills理论
Generalized Yang-Mills Theory under Rotor Mechanism
摘要：
本文在前人关于转子模型下高阶导数的广义阿贝尔规范场理论的基础上，将研究推广到最广义的非阿贝尔情形。我们发现，转子机制从阿贝尔的情况下很好地适用于非阿贝尔的情况下的洛伦兹规范条件。在转子机制下，规范场变换为$T_μ^a \rightarrow \Box^n T_μ^a$。当场导数的阶数为$n=0$时，这恢复到原始的杨-米尔斯作用量。我们的工作给出了一个广泛的推广杨米尔斯理论与高阶场导数。我们还计算了广义非阿贝尔规范场理论的运动方程和Noether流。最后，通过Ostrogradsky构造和对能量动量张量00分量的分析，研究了该理论的动力学不稳定性问题。
英文摘要：
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.
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