Phase diagram and Higgs phases of 3D lattice SU(Nc) gauge theories with multiparameter scalar potentials

Abstract

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, interacting with the most general quartic potential compatible with the global (flavor) and gauge (color) symmetries. We investigate the phase diagrams, identifying the low-temperature Higgs phases and their global and gauge symmetries, and the critical behaviors along the different transition lines. In particular, we address the role of the quartic scalar potential, which determines the Higgs phases and the corresponding symmetry-breaking patterns. Our study is based on the analysis of the minimum-energy configurations and on numerical Monte Carlo simulations. Moreover, we investigate whether some of the transitions observed in the lattice model can be related to the behavior of the renormalization-group flow of the continuum field theory with the same symmetries and field content around its stable charged fixed points. For Nc=2, numerical results are consistent with the existence of charged critical behaviors for Nf > Nf*, with 20 < Nf* < 40.

arXiv comment18 pages

References in corpus (43)

• Critical Phenomena and Renormalization-Group Theory
• Critical Exponents of the N-vector model
• Is There a Hot Electroweak Phase Transition at $m_H\gsim m_W$?
• Quantum Field Theory in the Large N Limit: a review
• Critical exponents and equation of state of the three-dimensional Heisenberg universality class
• Deconfined quantum critical points: symmetries and dualities
• The critical exponents of the superfluid transition in He4
• Minimally subtracted six loop renormalization of $O(n)$-symmetric ${\varphi }^4$ theory and critical exponents
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Maximally Symmetric Two Higgs Doublet Model with Natural Standard Model Alignment
• A Lattice Monte Carlo Study of the Hot Electroweak Phase Transition
• Multicritical phenomena in O(n_1)+O(n_2)-symmetric theories
• Carving out OPE space and precise $O(2)$ model critical exponents
• Phase Structure and Phase Transition of the SU(2) Higgs Model in Three Dimensions
• Relevance of the axial anomaly at the finite-temperature chiral transition in QCD
• A lattice model for the SU(N) Neel-VBS quantum phase transition at large N
• Anisotropic perturbations in three-dimensional O(N)-symmetric vector models
• Bootstrapping Heisenberg Magnets and their Cubic Instability
• Quantum criticality of U(1) gauge theories with fermionic and bosonic matter in two spatial dimensions
• Monte Carlo study of an improved clock model in three dimensions
• On the nature of the finite-temperature transition in QCD
• Critical behavior of O(2)xO(N) symmetric models
• Gauge theory for the cuprates near optimal doping
• Abelian Higgs model at four loops, fixed-point collision and deconfined criticality
• 3D loop models and the CP^{n-1} sigma model
• Monte Carlo study of a generalized icosahedral model on the simple cubic lattice
• Phase transitions in 3D loop models and the $C{P}^{n-1}$ $\sigma$ model
• On the Phase Diagram of the SU(2) Adjoint Higgs Model in 2+1 Dimensions
• The $\epsilon$-expansion and the electroweak phase transition
• Lattice Abelian-Higgs model with noncompact gauge fields
• 1/N Expansion for Critical Exponents of Magnetic Phase Transitions in CP^{N-1} Model at 2<d<4
• Multicomponent compact Abelian-Higgs lattice models
• Phase diagram, symmetry breaking, and critical behavior of three-dimensional lattice multiflavor scalar chromodynamics
• Five-loop epsilon expansion for U(n)xU(m) models: finite-temperature phase transition in light QCD
• Higher-charge three-dimensional compact lattice Abelian-Higgs models
• Three-dimensional ferromagnetic CP(N-1) models
• Three-dimensional lattice multiflavor scalar chromodynamics: interplay between global and gauge symmetries
• Instability of the O(5) multicritical behavior in the SO(5) theory of high-Tc superconductors
• Large-N behavior of three-dimensional lattice CP(N-1) models
• Lattice gauge theories in the presence of a linear gauge-symmetry breaking
• Three-dimensional phase transitions in multiflavor lattice scalar SO(Nc) gauge theories
• Phases of SU(2) gauge theory with multiple adjoint Higgs fields in 2+1 dimensions
• Three-dimensional lattice SU($N_c$) gauge theories with multiflavor scalar fields in the adjoint representation

Cited by in corpus (10)

• Critical behaviors of lattice U(1) gauge models and three-dimensional Abelian-Higgs gauge field theory
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Gauge fixing and gauge correlations in noncompact Abelian gauge models
• Critical relaxational dynamics at the continuous transitions of three-dimensional spin models with ${\mathbb{Z}}_2$ gauge symmetry
• Multicomponent gauge-Higgs models with discrete Abelian gauge groups
• Non-compact lattice Higgs model with Abelian discrete gauge groups: phase diagram and gauge symmetry enlargement
• Chiral critical behavior of 3D lattice fermionic models with quartic interactions
• Charged critical behavior and nonperturbative continuum limit of three-dimensional lattice SU($N_c$) gauge Higgs models
• Color-flavor reflection in the continuum limit of two-dimensional lattice gauge theories with scalar fields
• O(5) multicriticality in the 3D two flavor SU(2) lattice gauge Higgs model