Axions, higher-groups, and emergent symmetry
Axions, higher-groups, and emergent symmetry
复制标题
轴子、高阶群和涌现对称性
DOI：
--
复制
发表时间：
2020
影响因子：
5.4
通讯作者：
Clay Córdova
中科院分区：
文献类型：
--
作者：
D. Brennan;Clay Córdova
轴子是通过瞬子密度耦合到规范场的周期标量场，具有丰富多样的高形式全局对称性。其中包括测量轴子弦电荷的两种形式的全局对称。正如我们回顾的那样，这些对称通常会组合成一个更高的群，这是一种非阿贝尔结构，其中作用于不同维算子（如点、线和弦）的对称是混合的。我们利用这一结构推导出与模型无关的重正化群流约束，实现了轴子的长距离理论。这些给出了各种红外对称出现的能量尺度上的普遍不平等。例如，我们证明了在任何轴子-杨-米尔斯的UV补全中，轴子弦衰变的能量尺度总是大于带电粒子的质量尺度。
Axions, periodic scalar fields coupled to gauge fields through the instanton density, have a rich variety of higher-form global symmetries. These include a two-form global symmetry, which measures the charge of axion strings. As we review, these symmetries typically combine into a higher-group, a kind of non-abelian structure where symmetries that act on operators of different dimensions, such as points, lines, and strings, are mixed. We use this structure to derive model independent constraints on renormalization group flows that realize theories of axions at long distances. These give universal inequalities on the energy scales where various infrared symmetries emerge. For example, we show that in any UV completion of axion-Yang-Mills, the energy scale at which axion strings can decay is always larger than the mass scale of charged particles.