Noninvertible Chiral Symmetry and Exponential Hierarchies
Noninvertible Chiral Symmetry and Exponential Hierarchies
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不可逆手性对称性和指数层次结构
DOI：
10.1103/physrevx.13.011034
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Kantaro Ohmori
中科院分区：
文献类型：
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作者：
Clay Cordova;Kantaro Ohmori
我们阐明了经典对称性的命运，遭受阿贝尔阿德勒-贝尔-Jackiw异常。而不是被完全摧毁，这些对称性生存的不可逆拓扑全局对称缺陷与世界体积任意子的自由度，耦合到散装通过磁1-形式的全球对称性在分数霍尔效应。这些不可逆的手征对称性意味着相关函数的选择规则，并出现在熟悉的无质量量子电动力学模型和轴子模型（以及它们的非阿贝尔推广）中。当相关的体磁1-形式对称性被动态磁单极子的传播破坏时，不可逆手征对称性缺陷的选择规则被非微扰地违反。这就导致了轴子势和费米子质量在技术上自然的指数层次。
We elucidate the fate of classical symmetries which suffer from Abelian Adler-Bell-Jackiw anomalies. Instead of being completely destroyed, these symmetries survive as noninvertible topological global symmetry defects with world volume anyon degrees of freedom that couple to the bulk through a magnetic 1-form global symmetry as in the fractional Hall effect. These noninvertible chiral symmetries imply selection rules on correlation functions and arise in familiar models of massless quantum electrodynamics and models of axions (as well as their non-Abelian generalizations). When the associated bulk magnetic 1-form symmetry is broken by the propagation of dynamical magnetic monopoles, the selection rules of the noninvertible chiral symmetry defects are violated nonperturbatively. This leads to technically natural exponential hierarchies in axion potentials and fermion masses.