Analyzing the Higgs-confinement transition with non-local operators on the lattice
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916704740704256 |
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| author | Shimada, Yusuke Yamamoto, Arata |
| author_facet | Shimada, Yusuke Yamamoto, Arata |
| contents | We study non-local operators for analyzing the Higgs-confinement phase transition in lattice gauge theory. Since the nature of the Higgs-confinement phase transition is topological, its order parameter is the expectation value of non-local operators, such as loop and surface operators. There exist several candidates for the non-local operators. Adopting the charge-2 Abelian Higgs model, we test numerical simulation of conventional ones, the Polyakov loop and the 't Hooft loop, and an unconventional one, the Aharonov-Bohm phase defined by the Wilson loop wrapping around a vortex line. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_10662 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analyzing the Higgs-confinement transition with non-local operators on the lattice Shimada, Yusuke Yamamoto, Arata High Energy Physics - Lattice High Energy Physics - Theory We study non-local operators for analyzing the Higgs-confinement phase transition in lattice gauge theory. Since the nature of the Higgs-confinement phase transition is topological, its order parameter is the expectation value of non-local operators, such as loop and surface operators. There exist several candidates for the non-local operators. Adopting the charge-2 Abelian Higgs model, we test numerical simulation of conventional ones, the Polyakov loop and the 't Hooft loop, and an unconventional one, the Aharonov-Bohm phase defined by the Wilson loop wrapping around a vortex line. |
| title | Analyzing the Higgs-confinement transition with non-local operators on the lattice |
| topic | High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.10662 |