Topology of $SU(N)$ lattice gauge theories coupled with $\mathbb{Z}_N$ $2$-form gauge fields
| Autor: | Abe, Motokazu, Morikawa, Okuto, Onoda, Soma, Suzuki, Hiroshi, Tanizaki, Yuya |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | JHEP 08 (2023) 118 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP08(2023)118 |
| Popis: | We extend the definition of L\"uscher's lattice topological charge to the case of $4$d $SU(N)$ gauge fields coupled with $\mathbb{Z}_N$ $2$-form gauge fields. This result is achieved while maintaining the locality, the $SU(N)$ gauge invariance, and $\mathbb{Z}_N$ $1$-form gauge invariance, and we find that the manifest $1$-form gauge invariance plays the central role in our construction. This result gives the lattice regularized derivation of the mixed 't Hooft anomaly in pure $SU(N)$ Yang-Mills theory between its $\mathbb{Z}_N$ $1$-form symmetry and the $\theta$ periodicity. Comment: 20 pages, 3 figures; (v2) minor improvements, refs updated |
| Databáze: | arXiv |
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