Yet another lattice formulation of 2D $U(1)$ chiral gauge theory via bosonization
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913363634683904 |
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| author | Morikawa, Okuto Onoda, Soma Suzuki, Hiroshi |
| author_facet | Morikawa, Okuto Onoda, Soma Suzuki, Hiroshi |
| contents | Recently, lattice formulations of Abelian chiral gauge theory in two dimensions have been devised on the basis of the Abelian bosonization. A salient feature of these 2D lattice formulations is that the gauge invariance is \emph{exactly\/} preserved for anomaly-free theories and thus is completely free from the question of the gauge mode decoupling. In the present paper, we propose a yet another lattice formulation sharing this desired property. A particularly unique point in our formulation is that the vertex operator of the dual scalar field, which carries the vector charge of the fermion and the ``magnetic charge'' in the bosonization, is represented by a ``hole'' excised from the lattice; this is the excision method formulated recently by Abe et al. in a somewhat different context. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_03420 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Yet another lattice formulation of 2D $U(1)$ chiral gauge theory via bosonization Morikawa, Okuto Onoda, Soma Suzuki, Hiroshi High Energy Physics - Lattice High Energy Physics - Theory Recently, lattice formulations of Abelian chiral gauge theory in two dimensions have been devised on the basis of the Abelian bosonization. A salient feature of these 2D lattice formulations is that the gauge invariance is \emph{exactly\/} preserved for anomaly-free theories and thus is completely free from the question of the gauge mode decoupling. In the present paper, we propose a yet another lattice formulation sharing this desired property. A particularly unique point in our formulation is that the vertex operator of the dual scalar field, which carries the vector charge of the fermion and the ``magnetic charge'' in the bosonization, is represented by a ``hole'' excised from the lattice; this is the excision method formulated recently by Abe et al. in a somewhat different context. |
| title | Yet another lattice formulation of 2D $U(1)$ chiral gauge theory via bosonization |
| topic | High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.03420 |