SU(6) model revisited
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917906748538880 |
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| author | Onogi, Tetsuya Wada, Hiroki Yamaoka, Tatsuya |
| author_facet | Onogi, Tetsuya Wada, Hiroki Yamaoka, Tatsuya |
| contents | We discuss the vacuum structure of the SU(6) model, a chiral gauge theory, from the perspective of anomaly matching. To this end, we first identify all possible 't Hooft anomalies in the UV theory using the Stora-Zumino procedure. Subsequently, we construct an effective theory by applying the idea of the Wess-Zumino-Witten action to derive the topological terms that encode the 't Hooft anomalies. As a result, we demonstrate that a low-energy effective theory reproducing one of the anomalies, namely the mixed anomaly, is described by a Z3-valued scalar field. On the other hand, the effective theory that accounts for the discrete chiral self-anomaly is significantly more intricate, and elucidating its structure remains an ongoing challenge. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18165 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | SU(6) model revisited Onogi, Tetsuya Wada, Hiroki Yamaoka, Tatsuya High Energy Physics - Lattice We discuss the vacuum structure of the SU(6) model, a chiral gauge theory, from the perspective of anomaly matching. To this end, we first identify all possible 't Hooft anomalies in the UV theory using the Stora-Zumino procedure. Subsequently, we construct an effective theory by applying the idea of the Wess-Zumino-Witten action to derive the topological terms that encode the 't Hooft anomalies. As a result, we demonstrate that a low-energy effective theory reproducing one of the anomalies, namely the mixed anomaly, is described by a Z3-valued scalar field. On the other hand, the effective theory that accounts for the discrete chiral self-anomaly is significantly more intricate, and elucidating its structure remains an ongoing challenge. |
| title | SU(6) model revisited |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2501.18165 |