2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911131150319616 |
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| author | Katayama, Nagare Tanizaki, Yuya |
| author_facet | Katayama, Nagare Tanizaki, Yuya |
| contents | The Cardy-Rabinovici model is a toy model of the lattice $U(1)$ gauge theories to study various oblique confinement states associated with the nonzero $θ$ angles. We reformulate the $2$d version of this model using the modified Villain lattice formalism, and we establish the exact $θ$ periodicity for the Witten effect and the strong-weak duality at the finite lattice spacings. We then study the phase structure of this model based on the duality, symmetry and anomaly, and the perturbative renormalization group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19412 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | 2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Katayama, Nagare Tanizaki, Yuya High Energy Physics - Theory High Energy Physics - Lattice The Cardy-Rabinovici model is a toy model of the lattice $U(1)$ gauge theories to study various oblique confinement states associated with the nonzero $θ$ angles. We reformulate the $2$d version of this model using the modified Villain lattice formalism, and we establish the exact $θ$ periodicity for the Witten effect and the strong-weak duality at the finite lattice spacings. We then study the phase structure of this model based on the duality, symmetry and anomaly, and the perturbative renormalization group. |
| title | 2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries |
| topic | High Energy Physics - Theory High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2505.19412 |