Lattice Weyl Fermion on a Single Spherical Domain-Wall
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915138720759808 |
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| author | Aoki, Shoto Fukaya, Hidenori Kan, Naoto |
| author_facet | Aoki, Shoto Fukaya, Hidenori Kan, Naoto |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03045 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lattice Weyl Fermion on a Single Spherical Domain-Wall Aoki, Shoto Fukaya, Hidenori Kan, Naoto High Energy Physics - Lattice Strongly Correlated Electrons High Energy Physics - Theory 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. |
| title | Lattice Weyl Fermion on a Single Spherical Domain-Wall |
| topic | High Energy Physics - Lattice Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.03045 |