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.
Keywords
Cite
@article{arxiv.2003.08160,
title = {Three-dimensional phase transitions in multiflavor lattice scalar SO(Nc) gauge theories},
author = {Claudio Bonati and Andrea Pelissetto and Ettore Vicari},
journal= {arXiv preprint arXiv:2003.08160},
year = {2021}
}
Comments
9 pages, we corrected a few misprints of the published version