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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.23065 |
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| _version_ | 1866916461493092352 |
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| author | Clancy, Michael Kaplan, David B. |
| author_facet | Clancy, Michael Kaplan, David B. |
| contents | Recently Weyl edge states on manifolds in dimension $d+1$ with a connected $d$-dimensional boundary were proposed as candidates for lattice regularization of chiral gauge theories, for even $d$. The examples considered to date include solid cylinders in any odd dimension, and the 3-ball with boundary $S^2$. Here we consider the general case of a $(d+1)$-dimensional ball for any even $d$ and show that the theory for the edge states on $S^d$ describe a conventional Weyl fermion on a sphere with half-integer momenta. A possible advantage of such theories is that they can be discretized by a square lattice without breaking the underlying discrete hypercubic symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23065 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Chiral edge states on spheres for lattice domain wall fermions Clancy, Michael Kaplan, David B. High Energy Physics - Lattice Recently Weyl edge states on manifolds in dimension $d+1$ with a connected $d$-dimensional boundary were proposed as candidates for lattice regularization of chiral gauge theories, for even $d$. The examples considered to date include solid cylinders in any odd dimension, and the 3-ball with boundary $S^2$. Here we consider the general case of a $(d+1)$-dimensional ball for any even $d$ and show that the theory for the edge states on $S^d$ describe a conventional Weyl fermion on a sphere with half-integer momenta. A possible advantage of such theories is that they can be discretized by a square lattice without breaking the underlying discrete hypercubic symmetry. |
| title | Chiral edge states on spheres for lattice domain wall fermions |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2410.23065 |