Deconfinement transitions in three-dimensional compact lattice Abelian Higgs models with multiple-charge scalar fields
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914948989321216 |
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| author | Bonati, Claudio Pelissetto, Andrea Vicari, Ettore |
| author_facet | Bonati, Claudio Pelissetto, Andrea Vicari, Ettore |
| contents | We investigate the nature of the deconfinement transitions in three-dimensional lattice Abelian Higgs models, in which a complex scalar field of integer charge $Q\ge 2$ is minimally coupled with a compact $U(1)$ gauge field. Their phase diagram presents two phases separated by a transition line where static charges $q$, with $q<Q$, deconfine. We argue that these deconfinement transitions belong to the same universality class as transitions in generic three-dimensional ${\mathbb Z}_Q$ gauge models. In particular, they are Ising-like for $Q=2$, of first order for $Q=3$, and belong to the three-dimensional gauge $XY$ universality class for $Q\ge 4$. This general scenario is supported by numerical finite-size scaling analyses of the energy cumulants for $Q=2$, $Q=4$, and $Q=6$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06374 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deconfinement transitions in three-dimensional compact lattice Abelian Higgs models with multiple-charge scalar fields Bonati, Claudio Pelissetto, Andrea Vicari, Ettore High Energy Physics - Lattice Statistical Mechanics We investigate the nature of the deconfinement transitions in three-dimensional lattice Abelian Higgs models, in which a complex scalar field of integer charge $Q\ge 2$ is minimally coupled with a compact $U(1)$ gauge field. Their phase diagram presents two phases separated by a transition line where static charges $q$, with $q<Q$, deconfine. We argue that these deconfinement transitions belong to the same universality class as transitions in generic three-dimensional ${\mathbb Z}_Q$ gauge models. In particular, they are Ising-like for $Q=2$, of first order for $Q=3$, and belong to the three-dimensional gauge $XY$ universality class for $Q\ge 4$. This general scenario is supported by numerical finite-size scaling analyses of the energy cumulants for $Q=2$, $Q=4$, and $Q=6$. |
| title | Deconfinement transitions in three-dimensional compact lattice Abelian Higgs models with multiple-charge scalar fields |
| topic | High Energy Physics - Lattice Statistical Mechanics |
| url | https://arxiv.org/abs/2402.06374 |