Multicomponent gauge-Higgs models with discrete Abelian gauge groups

Abstract

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 O(2) vector universality classes, depending on the symmetry breaking pattern at the transition. The universality class is independent of $q$ as long as q>=3. The universality class of the transition is uniquely determined by the behavior of the scalar fields; gauge fields do not play any role. We also investigate the system for Nf=15 and Q=2. In the presence of U(1) gauge fields, the system undergoes transitions associated with charged fixed points of the Abelian-Higgs field theory. These continuous transitions turn into first-order ones when the U(1) gauge fields are replaced by the discrete Z_q fields: in the present compact model charged transitions appear to be very sensitive to the nature of the gauge fields

25 pages, 15 figures

References in corpus (13)

• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Monte Carlo study of an improved clock model in three dimensions
• Monte Carlo study of a generalized icosahedral model on the simple cubic lattice
• 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
• Classification of nematic order in 2+1D: Dislocation melting and $O(2)/Z_N$ lattice gauge theory
• Critical behaviors of lattice U(1) gauge models and three-dimensional Abelian-Higgs gauge field theory
• Lattice gauge theories in the presence of a linear gauge-symmetry breaking
• 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
• Scalar gauge-Higgs models with discrete Abelian symmetry groups

Cited by in corpus (4)

• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Critical relaxational dynamics at the continuous transitions of three-dimensional spin models with ${\mathbb{Z}}_2$ gauge symmetry
• Gauge fixing and gauge correlations in noncompact Abelian gauge models
• Uncovering gauge-dependent critical order-parameter correlations by a stochastic gauge fixing at O($N$)${}^{\ast }$ and Ising${}^{\ast }$ continuous transitions