Three-dimensional phase transitions in multiflavor lattice scalar SO(Nc) gauge theories

Abstract

We investigate the phase diagram and finite-temperature transitions of three-dimensional scalar SO(Nc) gauge theories with Nf scalar flavors. These models are constructed starting from a maximally O(N)-symmetric multicomponent scalar model (N = Nc Nf), whose symmetry is partially gauged to obtain an SO(Nc) gauge theory, with O(Nf) or U(Nf) global symmetry for Nc > 2 or Nc = 2, respectively. These systems undergo finite-temperature transitions, where the global symmetry is broken. Their nature is discussed using the Landau-Ginzburg-Wilson (LGW) approach, based on a gauge-invariant order parameter, and the continuum scalar SO(Nc) gauge theory. The LGW approach predicts that the transition is of first order for Nf > 2. For Nf = 2 the transition is predicted to be continuous: it belongs to the O(3) vector universality class for Nc=2 and to the XY universality class for any Nc > 2. We perform numerical simulations for Nc = 3 and Nf = 2,3. The numerical results are in agreement with the LGW predictions.

9 pages, we corrected a few misprints of the published version

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Cited by in corpus (15)

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• 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
• Bootstrapping traceless symmetric $O(N)$ scalars
• 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
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Asymptotic low-temperature behavior of two-dimensional RP${}^{N-1}$ models
• Asymptotic low-temperature critical behavior of two-dimensional multiflavor lattice SO(Nc) gauge theories
• Multiple Mass Hierarchies from Complex Fixed Point Collisions
• 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
• Berezinskii-Kosterlitz-Thouless transitions in two-dimensional lattice SO($N_c$) gauge theories with two scalar flavors
• 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