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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…

Statistical Mechanics · Physics 2026-05-29 Claudio Bonati , Filippo Mariani , Ettore Vicari

We consider multicomponent Abelian Higgs (AH) gauge theories with multiparameter scalar quartic potentials that are extensions, with a smaller global symmetry group, of $SU(N)$-invariant AH theories. In particular, we consider an AH model…

Statistical Mechanics · Physics 2024-04-16 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We study the phase diagram and phase transitions of the three dimensional multicomponent lattice Higgs model with non-compact Abelian discrete groups. The model with non-compact U(1) gauge group is known to undergo, for a sufficiently large…

High Energy Physics - Lattice · Physics 2024-04-15 Claudio Bonati , Niccolò Francini

We investigate the phase diagram and critical behavior of three-dimensional multicomponent Abelian-Higgs models, in which an N-component complex field z_x^a of unit length and charge is coupled to compact quantum electrodynamics in the…

Statistical Mechanics · Physics 2019-10-30 Andrea Pelissetto , Ettore Vicari

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…

High Energy Physics - Lattice · Physics 2024-09-17 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We consider a noncompact lattice formulation of the three-dimensional electrodynamics with $N$-component complex scalar fields, i.e., the lattice Abelian-Higgs model with noncompact gauge fields. For any $N\ge 2$, the phase diagram shows…

Statistical Mechanics · Physics 2021-02-10 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We consider a variant of the charge-Q compact Abelian-Higgs model, in which an Nf-dimensional complex vector is coupled with an Abelian Z_q gauge field. For Nf=2 and Q=1 we observe several transition lines that belong to the O(4), O(3), and…

High Energy Physics - Lattice · Physics 2023-04-26 Giacomo Bracci-Testasecca , Andrea Pelissetto

We study the critical behavior of three-dimensional (3D) lattice Abelian-Higgs (AH) gauge models with noncompact gauge variables and multicomponent complex scalar fields, along the transition line between the Coulomb and Higgs phases.…

Statistical Mechanics · Physics 2024-04-16 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We study the topological phase transitions occurring in three-dimensional (3D) multicomponent lattice Abelian-Higgs (LAH) models, in which an $N$-component scalar field is minimally coupled with a noncompact Abelian gauge field, with a…

Statistical Mechanics · Physics 2024-04-18 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We investigate under which conditions the three-dimensional (3D) multicomponent Abelian-Higgs (AH) field theory (scalar electrodynamics) is the continuum limit of statistical lattice gauge models, i.e., when it characterizes the universal…

Statistical Mechanics · Physics 2024-04-15 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We investigate the phase diagram and the nature of the phase transitions of three-dimensional lattice gauge-Higgs models obtained by gauging the Z_N subgroup of the global Z_q invariance group of the Z_q clock model (N is a submultiple of…

Statistical Mechanics · Physics 2022-06-01 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We consider three-dimensional lattice SU(Nc) gauge theories with degenerate multicomponent (Nf>1) complex scalar fields that transform under the fundamental representation of the gauge SU(Nc) group and of the global U(Nf) invariance group,…

Statistical Mechanics · Physics 2022-01-26 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

We study perturbations that break gauge symmetries in lattice gauge theories. As a paradigmatic model, we consider the three-dimensional Abelian-Higgs (AH) model with an N-component scalar field and a noncompact gauge field, which is…

High Energy Physics - Lattice · Physics 2021-09-01 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We consider three-dimensional lattice SU($N_c$) gauge theories with multiflavor ($N_f>1$) scalar fields in the adjoint representation. We investigate their phase diagram, identify the different Higgs phases with their gauge-symmetry…

High Energy Physics - Lattice · Physics 2021-10-04 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

We study the three-dimensional (3D) compact U(1) lattice gauge theory coupled with $N$-flavor Higgs fields by means of the Monte Carlo simulations. This model is relevant to multi-component superconductors, antiferromagnetic spin systems in…

High Energy Physics - Lattice · Physics 2009-10-26 T. Ono , S. Doi , Y. Hori , I. Ichinose , T. Matsui

We consider a three-dimensional lattice Abelian Higgs gauge model for a charged $N$-component scalar field ${\phi}$, which is invariant under $SO(N)$ global transformations for generic values of the parameters. We focus on the…

Statistical Mechanics · Physics 2024-06-21 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We study the two-dimensional lattice multicomponent Abelian-Higgs model, which is a lattice compact U(1) gauge theory coupled with an N-component complex scalar field, characterized by a global SU(N) symmetry. In agreement with the…

Statistical Mechanics · Physics 2020-02-19 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We study the phase structure of a three dimensional Abelian Higgs model with singly- and doubly-charged scalar fields coupled to a compact Abelian gauge field. The model is pretending to describe systems of strongly correlated electrons…

Strongly Correlated Electrons · Physics 2009-11-11 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

We investigate the phase transition in the three-dimensional abelian Higgs model for N complex scalar fields, using the gauge-invariant average action \Gamma_{k}. The dependence of \Gamma_{k} on the effective infra-red cut-off k is…

Condensed Matter · Physics 2015-06-25 B. Bergerhoff , D. Litim , S. Lola , C. Wetterich

We study the phase structure of the 3D nonlocal compact U(1) lattice gauge theory coupled with a Higgs field by means of Monte-Carlo simulations. The nonlocal interactions among gauge variables are along the temporal direction and mimic the…

High Energy Physics - Lattice · Physics 2009-11-11 Shunsuke Takashima , Ikuo Ichinose , Tetsuo Matsui , Kazuhiko Sakakibara
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