Charged Abelian Higgs phase transitions in three-dimensional compact lattice U(1) gauge models with multicharge scalar matter

[2605.29884] Charged Abelian Higgs phase transitions in three-dimensional compact lattice U(1) gauge models with multicharge scalar matter Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Condensed Matter > Statistical Mechanics arXiv:2605.29884 (cond-mat) [Submitted on 28 May 2026 ( v1 ), last revised 15 Aug 2026 (this version, v2)] Title: Charged Abelian Higgs phase transitions in three-dimensional compact lattice U(1) gauge models with multicharge scalar matter Authors: Claudio Bonati , Filippo Mariani , Ettore Vicari View a PDF of the paper titled Charged Abelian Higgs phase transitions in three-dimensional compact lattice U(1) gauge models with multicharge scalar matter, by Claudio Bonati and 2 other authors View PDF HTML (experimental) Abstract: We consider three-dimensional (3D) lattice Abelian Higgs models, with compact U(1) gauge variables coupled to a doubly-charged $N$-component complex scalar field (CLAH). We focus on their phase transitions between the disordered-confined (DC) and ordered-deconfined (OD) phases. When they are continuous they belong to the 3D Abelian Higgs (AH) universality class associated with the stable charged fixed point (CFP) of the renormalization-group flow of the 3D AH field theory, or scalar electrodynamics, describing $N$-component complex scalar fields minimally coupled to a U(1) gauge field. This CFP exists only for a sufficiently large number of components, i.e., $N \ge N_d^*$, where the integer $N_d^*$ depends on the spatial dimension $d$ (for example $N_4^*=183$). To estimate $N_3^*$, we look for the minimum number $N_{\rm cL}$ of scalar components of 3D doubly-charged CLAH models developing continuous transitions along their DC-OD transition line. For this purpose, we present finite-size scaling analyses of Monte Carlo simulations for $N\in[4,10]$, up to lattice sizes $L\approx 100$. The results provide evidence of continuous DC-OD transitions for $N=10$, and weak first-order transitions for $N\le 7$. They are not conclusive for $N=8,\,9$. Therefore, we estimate $N_{\rm cL}=9(1)$. Comments: 16 pages Subjects: Statistical Mechanics (cond-mat.stat-mech) ; High Energy Physics - Lattice (hep-lat) Cite as: arXiv:2605.29884 [cond-mat.stat-mech] (or arXiv:2605.29884v2 [cond-mat.stat-mech] for this version) https://doi.org/10.48550/arXiv.2605.29884 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Phys. Rev. D 114, 034510 (2026) Related DOI : https://doi.org/10.1103/62vm-y7x7 Focus to learn more DOI(s) linking to related resources Submission history From: Ettore Vicari [ view email ] [v1] Thu, 28 May 2026 13:08:14 UTC (189 KB) [v2] Sat, 15 Aug 2026 07:31:07 UTC (191 KB) Full-text links: Access Paper: View a PDF of the paper titled Charged Abelian Higgs phase transitions in three-dimensional compact lattice U(1) gauge models with multicharge scalar matter, by Claudio Bonati and 2 other authors View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.stat-mech < prev | next > new | recent | 2026-05 Change to browse by: cond-mat hep-lat References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... 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