论文标题
紫外线完成YANG-MILLS理论的量规统一
UV completion of extradimensional Yang-Mills theory for Gauge-Higgs unification
论文作者
论文摘要
$ su（n）$ yang-mills理论中的$ \ mathbb r^4 \ times s^1 $ spacetime被研究为一个简单的量规统一玩具模型。该理论是扰动性的，可侵权性，但可以作为渐近安全的理论，即一种非扰动的可重新分配理论。我们通过在背景字段近似中使用函数骨化组，研究$ \ mathbb r^4 \ times s^1 $中Yang-Mills理论的固定点结构。我们得出了量规耦合和背景量规场电势的功能流程方程。在有限的压缩半径上，两个耦合都存在一个非平凡的固定点。在固定点，量规耦合和真空能均相关。量规耦合的重新归一化组流动描述了渐近安全性方案与强相互作用的红外极限之间的平滑过渡。
The $SU(N)$ Yang-Mills theory in $\mathbb R^4\times S^1$ spacetime is studied as a simple toy model of Gauge-Higgs unification. The theory is perturbatively nonrenormalizable but could be formulated as an asymptotically safe theory, namely a nonperturbatively renormalizable theory. We study the fixed point structure of the Yang-Mills theory in $\mathbb R^4\times S^1$ by using the functional renormalization group in the background field approximation. We derive the functional flow equations for the gauge coupling and the background gauge-field potential. There exists a nontrivial fixed point for both couplings at finite compactification radii. At the fixed point, gauge coupling and vacuum energy are both relevant. The renormalization group flow of the gauge coupling describes the smooth transition between the ultraviolet asymptotically safe regime and the strong interacting infrared limit.
