Phase diagram, symmetry breaking, and critical behavior of three-dimensional lattice multiflavor scalar chromodynamics

Abstract

We study the nature of the phase diagram of three-dimensional lattice models in the presence of nonabelian gauge symmetries. In particular, we consider a paradigmatic model for the Higgs mechanism, lattice scalar chromodynamics with N_f flavors, characterized by a nonabelian SU(N_c) gauge symmetry. For N_f>1 (multiflavor case), it presents two phases separated by a transition line where a gauge-invariant order parameter condenses, being associated with the breaking of the residual global symmetry after gauging. The nature of the phase transition line is discussed within two field-theoretical approaches, the continuum scalar chromodynamics and the Landau-Ginzburg- Wilson (LGW) Phi4 approach based on a gauge-invariant order parameter. Their predictions are compared with simulation results for N_f=2, 3 and N_c = 2, 3, and 4. The LGW approach turns out to provide the correct picture of the critical behavior, unlike continuum scalar chromodynamics.

6 pages, minor changes, refs added

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• 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
• Breaking of the gauge symmetry in lattice gauge theories
• Phase diagram and Higgs phases of 3D lattice SU(Nc) gauge theories with multiparameter scalar potentials
• The unreasonable effectiveness of effective string theory: the case of the 3d SU(2) Higgs model
• Asymptotic low-temperature behavior of two-dimensional RP${}^{N-1}$ models
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Hidden superuniversality in systems with continuous variation of critical exponents
• Two-dimensional multicomponent Abelian-Higgs lattice models
• Asymptotic low-temperature critical behavior of two-dimensional multiflavor lattice SO(Nc) gauge theories
• Two-dimensional lattice SU($N_c$) gauge theories with multiflavor adjoint scalar fields
• Multicomponent gauge-Higgs models with discrete Abelian gauge groups
• Critical relaxational dynamics at the continuous transitions of three-dimensional spin models with ${\mathbb{Z}}_2$ gauge symmetry
• Non-compact lattice Higgs model with Abelian discrete gauge groups: phase diagram and gauge symmetry enlargement
• Berezinskii-Kosterlitz-Thouless transitions in two-dimensional lattice SO($N_c$) gauge theories with two scalar flavors
• Site-percolation transition of run-and-tumble particles
• Uncovering gauge-dependent critical order-parameter correlations by a stochastic gauge fixing at O($N$)${}^{\ast }$ and Ising${}^{\ast }$ continuous transitions
• 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
• Geometric percolation of spins and spin-dipoles in Ashkin-Teller model
• O(5) multicriticality in the 3D two flavor SU(2) lattice gauge Higgs model