论文标题
量子重力的离散全局对称性的限制
Constraints on discrete global symmetries in quantum gravity
论文作者
论文摘要
是否可以在量子 - 雷神遗传系统中实现全球对称性的问题具有深远的现象学后果。在这里，我们收集证据表明，在$ \ mathbb {z} _n $，$ n> 4 $的渐近环境中，离散的全局对称性无法在近乎扰动的制度中实现。相比之下，量子重力的有效场理论方法可能具有这样的对称性，从而提供了一种在红外产生质量层次结构的机制，而无需进行额外的微调。
The question whether global symmetries can be realized in quantum-gravity-matter-systems has far-reaching phenomenological consequences. Here, we collect evidence that within an asymptotically safe context, discrete global symmetries of the form $\mathbb{Z}_n$, $n>4$, cannot be realized in a near-perturbative regime. In contrast, an effective-field-theory approach to quantum gravity might feature such symmetries, providing a mechanism to generate mass hierarchies in the infrared without the need for additional fine-tuning.
