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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2506.04324 |
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| _version_ | 1866910988723290112 |
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| author | Kroth, Jonathan D. Sen, Srimoyee |
| author_facet | Kroth, Jonathan D. Sen, Srimoyee |
| contents | Domain wall fermions use a $2n$-dimensional spacetime defect embedded in $(2n+1)$-dimensional spacetime to realize massless lattice Dirac fermions. Recent work has extended this idea to realize a single unpaired Weyl fermion in a finite lattice. Here, we realize the same using a $2n$-dimensional string defect embedded in $(2n+2)$-dimensional spacetime on a finite lattice for $n=1$. This string is a lattice version of the continuum axion string described in Callan-Harvey. Our results are obtained in a Hamiltonian formulation in Minkowski spacetime. Extending the results to Euclidean spacetime and to $n>1$ is straightforward. This work has applications to lattice chiral gauge theories and axion cosmology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_04324 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unpaired Weyl fermion on an axion string in a finite lattice Kroth, Jonathan D. Sen, Srimoyee High Energy Physics - Theory High Energy Physics - Lattice Nuclear Theory Domain wall fermions use a $2n$-dimensional spacetime defect embedded in $(2n+1)$-dimensional spacetime to realize massless lattice Dirac fermions. Recent work has extended this idea to realize a single unpaired Weyl fermion in a finite lattice. Here, we realize the same using a $2n$-dimensional string defect embedded in $(2n+2)$-dimensional spacetime on a finite lattice for $n=1$. This string is a lattice version of the continuum axion string described in Callan-Harvey. Our results are obtained in a Hamiltonian formulation in Minkowski spacetime. Extending the results to Euclidean spacetime and to $n>1$ is straightforward. This work has applications to lattice chiral gauge theories and axion cosmology. |
| title | Unpaired Weyl fermion on an axion string in a finite lattice |
| topic | High Energy Physics - Theory High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2506.04324 |