Elementary particle physics based on higher dimensional gauge theory

高维规范理论，即规范-希格斯统一，是解决标准模型中与希格斯粒子有关的问题的一个有吸引力的候选者。在这项研究中，我们从微扰和非微扰的角度研究了高维规范理论所具有的动力学。特别是，我们得到了一个意想不到的结果，即即使在高温下，规范对称性也可以被破坏。我们研究了格子上的高维规范理论，发现了该理论中一种新的对称性--棒状对称性，它对构造低能有效理论和进行数值模拟具有重要作用。此外，我们还讨论了规范-希格斯统一在大统一理论中的应用。

Higher dimensional gauge theory, namely the gauge-Higgs unification is an attractive candidate for solving the problem related to the Higgs particle in the standard model. In this research we studied the dynamics possessed by the higher dimensional gauge theory both from a perturbative and nonperturbative point of view. In particular, we obtained the unexpected result that gauge symmetry can be broken even at high temperature. We studied higher dimensional gauge theory on lattice and found the new symmetry called stick symmetry inthe theory, which plays an important role to construct low-energy effective theory and to perform numerical simulation. Moreover, we also discussed the application of the gauge-Higgs unification to grand unified theory.