Exact lattice chiral symmetry in 2d gauge theory
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910484141178880 |
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| author | Berkowitz, Evan Cherman, Aleksey Jacobson, Theodore |
| author_facet | Berkowitz, Evan Cherman, Aleksey Jacobson, Theodore |
| contents | We construct symmetry-preserving lattice regularizations of 2d QED with one and two flavors of Dirac fermions, as well as the `3450' chiral gauge theory, by leveraging bosonization and recently-proposed modifications of Villain-type lattice actions. The internal global symmetries act just as locally on the lattice as they do in the continuum, the anomalies are reproduced at finite lattice spacing, and in each case we find a sign-problem-free dual formulation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_17539 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Exact lattice chiral symmetry in 2d gauge theory Berkowitz, Evan Cherman, Aleksey Jacobson, Theodore High Energy Physics - Lattice High Energy Physics - Theory We construct symmetry-preserving lattice regularizations of 2d QED with one and two flavors of Dirac fermions, as well as the `3450' chiral gauge theory, by leveraging bosonization and recently-proposed modifications of Villain-type lattice actions. The internal global symmetries act just as locally on the lattice as they do in the continuum, the anomalies are reproduced at finite lattice spacing, and in each case we find a sign-problem-free dual formulation. |
| title | Exact lattice chiral symmetry in 2d gauge theory |
| topic | High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.17539 |