单个球形畴壁上的格点外尔费米子
Lattice Weyl Fermion on a Single Spherical Domain-Wall
AI总结：
本文研究三维格点中单个球形畴壁上的Shamir型畴壁费米子，发现无规范势时外尔费米子局域于畴壁边缘，而有U(1)规范势时Wilson项在单极子附近诱导出中心局域的反手征零模。
摘要：
我们研究嵌入在三维欧几里得格点中的单个球形畴壁。我们采用Shamir型畴壁费米子公式，其中负质量区域被限制在$S^2$畴壁内部，而外部的正质量被取为无穷大极限，从而可以有效地忽略外部区域。在不存在规范势的情况下，外尔费米子作为沿$S^2$畴壁的边缘局域模式出现。当存在非平凡的$U(1)$规范势时，会出现具有相反手征性的额外零模，局域在单极子附近的中心处。这种中心局域模式源于Wilson项的有效质量贡献，它在单极子附近诱导出一个畴壁。
英文摘要：
We investigate a single spherical domain-wall embedded in a three-dimensional Euclidean lattice. We employ the Shamir-type domain-wall fermion formulation, where the negative mass region is confined inside the $S^2$ domain-wall, while the positive mass outside is taken to the infinite limit, allowing the exterior region to be neglected effectively. In the absence of a gauge potential, Weyl fermions emerge as edge-localized modes along the $S^2$ domain-wall. When a nontrivial $U(1)$ gauge potential is present, additional zero modes with opposite chirality appears, localized at the center near the monopole. This centrally localized mode originates from the effective mass contribution of the Wilson term, which induces a domain-wall near the monopole.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
