Abstract
We study the nature of the phase diagram of three-dimensional lattice models in the presence of non-Abelian gauge symmetries. In particular, we consider a paradigmatic model for the Higgs mechanism, lattice scalar chromodynamics with flavors, characterized by a non-Abelian gauge symmetry. For (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) approach based on a gauge-invariant order parameter. Their predictions are compared with simulation results for , 3 and . The LGW approach turns out to provide the correct picture of the critical behavior at the transitions between the two phases.
- Received 17 October 2019
DOI:https://doi.org/10.1103/PhysRevLett.123.232002
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society