转子机制下含高阶导数的广义标准模型及其量子化
Generalized Standard Model with higher-order derivatives under Rotor Mechanism and its Quantization
AI总结：
本文将高阶导数转子机制推广到标准模型，通过路径积分和广义BRST量子化证明Slavnov-Taylor恒等式，并探讨其对希格斯自能无穷大的抑制及层级问题的新见解。
摘要：
标准模型是粒子物理学的范式，为基本粒子相互作用提供了精确理论。然而，含高阶导数的标准模型扩展尚未得到充分研究。本文是先前关于n阶高阶导数转子机制下广义阿贝尔规范场理论和杨-米尔斯理论研究的后续工作，我们将其应用于粒子物理标准模型。同时研究了标量场和狄拉克场上的转子机制。我们将利用路径积分方法研究转子化标准模型的量子化。我们还继承了先前广义阿贝尔规范场路径积分量子化的结果，并将其应用于非阿贝尔情形。随后，我们进行了广义BRST量子化，并证明了转子模型的Slavnov-Taylor恒等式的存在性。最后，我们讨论了转子模型在抑制高时空维度下希格斯玻色子自能修正所产生的无穷大方面的可能性，从而为层级问题提供了部分解决方案和新的见解。
英文摘要：
The Standard Model is the paradigm of particle physics which gives an accurate theory for fundamental particle interactions. However, the extension of Standard Model with higher-order derivatives is not a well-studied subject. This paper is a follow-up work of the previous study of the generalized Abelian gauge field theory and Yang-Mills theory under rotor mechanism of order $n$ of higher order derivatives, and we apply it to the Standard Model of particle physics. Rotor mechanism on scalar field and Dirac field is also studied. We will study the quantization of the rotored Standard Model using path integral approach. We also inherit the previous result from the path integral quantization of generalized Abelian gauge field and apply it to our non-Abelian case. Then we carry out the generalized BRST quantization and prove the existence of the Slavnov-Taylor Identities of the rotor model. Finally, we discuss the possibility of rotor model on taming the infinities arise from the self-energy correction of the Higgs boson in high spacetime dimension, thus this provides a partial solution and new insights to the Hierarchy problem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
