畴壁费米子的对称质量生成
Symmetric Mass Generation for Domain-Wall Fermions
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中文总结 AI 辅助
研究人员首次通过二维格点模拟检验畴壁费米子的对称质量生成，发现局域四费米子相互作用可选择性使镜像壁边缘费米子产生能隙，为格点畴壁费米子的镜像费米子退耦提供了非微扰框架。
中文摘要 AI 辅助
我们报告了畴壁费米子的对称质量生成（SMG）的首次数值检验。我们在二维欧几里得格点上的模拟计算了带有两个边界的Fidkowski-Kitaev马约拉纳链的路径积分，这两个边界对应于两个（物理和镜像）壁。我们通过评估格点狄拉克算子本征谱证明，局域四费米子相互作用会选择性地使镜像壁上的边缘费米子产生能隙，同时保留物理壁不受影响。我们进一步在路径积分中确定了SMG的特征性标志：狄拉克算子的能隙沿复谱的虚轴打开，与实方向上的标准质量偏移形成对比。常规混合蒙特卡洛算法通过对 Pfaffian 的复相位进行重加权仍然适用，且在整个模拟过程中发现该相位非常小。这些结果为格点畴壁费米子的相互作用诱导镜像费米子退耦提供了一个实用的非微扰框架。
英文摘要
We report the first numerical examination of symmetric mass generation (SMG) for domain-wall fermions. Our simulation on a two-dimensional Euclidean lattice computes the path-integral of the Fidkowski-Kitaev Majorana chain with two boundaries, corresponding to the two (physical and mirror) walls. We demonstrate by evaluating the lattice Dirac operator eigenvalue spectrum that the local four-Fermi interaction selectively gaps the edge fermions on the mirror wall while leaving the physical wall intact. We further identify a characteristic signature of SMG in the path-integral: the gap of the Dirac operator opens along the imaginary axis of the complex spectrum, in contrast to the standard mass shift in the real direction. The conventional hybrid Monte Carlo algorithm remains practical with reweighting the complex phase of the Pfaffian, which is found to be remarkably small throughout the simulation. These results provide a practical nonperturbative framework for interaction-induced mirror-fermion decoupling of lattice domain-wall fermions.
发表机构
- The University of Osaka（大阪大学）
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