Critical behaviors of lattice U(1) gauge models and three-dimensional Abelian-Higgs gauge field theory

Abstract

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 behavior at critical transitions occurring in these models. We perform Monte Carlo simulations of the lattice AH model with compact gauge fields and $N$-component scalar fields with charge $q\ge 2$ for $N=15$ and 25. Finite-size scaling analyses of the Monte Carlo data show that the transitions along the line separating the confined and deconfined phases are continuous and that they belong to the same universality class for any $q\ge 2$. Moreover, they are in the same universality class as the transitions in the lattice AH model with noncompact gauge fields along the Coulomb-to-Higgs transition line. We finally argue that these critical behaviors are described by the stable charged fixed point of the renormalization-group flow of the 3D AH field theory.

11 pages, 10 eps figures. arXiv admin note: text overlap with arXiv:2010.06311, arXiv:2011.04503

References in corpus (21)

• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Scaling in the Fan of an Unconventional Quantum Critical Point
• From an Antiferromagnet to a Valence Bond Solid: Evidence for a First Order Phase Transition
• Quantum criticality of U(1) gauge theories with fermionic and bosonic matter in two spatial dimensions
• Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions
• Coulomb gas transitions in three-dimensional classical dimer models
• Gauge theory picture of an ordering transition in a dimer model
• Lattice Abelian-Higgs model with noncompact gauge fields
• Quantum phase transitions in bilayer SU(N) anti-ferromagnets
• Phase diagram, symmetry breaking, and critical behavior of three-dimensional lattice multiflavor scalar chromodynamics
• Higher-charge three-dimensional compact lattice Abelian-Higgs models
• Numerical study of duality and universality in a frozen superconductor
• Three-dimensional lattice multiflavor scalar chromodynamics: interplay between global and gauge symmetries
• Percolation of Vortices in the 3D Abelian Lattice Higgs Model
• Landau-Ginzburg-Wilson approach to critical phenomena in the presence of gauge symmetries
• Three-dimensional lattice SU($N_c$) gauge theories with multiflavor scalar fields in the adjoint representation
• Phase diagram and Higgs phases of 3D lattice SU(Nc) gauge theories with multiparameter scalar potentials
• Asymptotic low-temperature critical behavior of two-dimensional multiflavor lattice SO(Nc) gauge theories
• Two-dimensional multicomponent Abelian-Higgs lattice models
• Two-dimensional lattice SU($N_c$) gauge theories with multiflavor adjoint scalar fields

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