论文标题
对称质量产生
Symmetric Mass Generation
论文作者
论文摘要
fermions获得质量的最著名机制是Nambu-Goldstone-Anderson-Higgs机制，即自发对称性破坏后，它是一个将骨与费米昂质量限制相结合的骨骼场，这使质量间隙赋予了质量差距，以获得费米子激发。在过去的几年中，逐渐理解，有一种新的质量生成机理用于费米子，而无需在无异常的对称组内进行任何对称性破裂。这种新机制通常称为“对称质量产生（SMG）”。人们意识到，SMG与相互作用的拓扑绝缘子/超导体，对称性保护拓扑状态，扰动局部和非扰动全局异常取消以及脱合量的量子关键性具有深厚的联系。它对手性量表理论的晶格正规化具有很大的影响。本文定义了SMG，总结了当前的数值结果，引入了一个新颖的统一理论框架（包括Parton-Higgs和S-Confinement机制，以及对称性扩展构建），并概述了SMG的各种特征和应用。
The most well-known mechanism for fermions to acquire a mass is the Nambu-Goldstone-Anderson-Higgs mechanism, i.e. after a spontaneous symmetry breaking, a bosonic field that couples to the fermion mass term condenses, which grants a mass gap for the fermionic excitation. In the last few years, it was gradually understood that there is a new mechanism of mass generation for fermions without involving any symmetry breaking within an anomaly-free symmetry group. This new mechanism is generally referred to as the "Symmetric Mass Generation (SMG)." It is realized that the SMG has deep connections with interacting topological insulator/superconductors, symmetry-protected topological states, perturbative local and non-perturbative global anomaly cancellations, and deconfined quantum criticality. It has strong implications for the lattice regularization of chiral gauge theories. This article defines the SMG, summarizes current numerical results, introduces a novel unifying theoretical framework (including the parton-Higgs and the s-confinement mechanisms, as well as the symmetry-extension construction), and overviews various features and applications of SMG.
