• DOI:10.1142/S0217751X22500476
• Corpus ID: 232045998

ZN symmetry in SU(N) gauge theories

@article{Biswal2021ZNSI,
  title={ZN symmetry in SU(N) gauge theories},
  author={Minati Biswal and Sanatan Digal and Vinod Mamale and Sabiar Shaikh},
  journal={International Journal of Modern Physics A},
  year={2021}
}

• M. Biswal, S. Digal, +1 author Sabiar Shaikh
• Published 25 February 2021
• Physics
• International Journal of Modern Physics A

In this paper, we study [Formula: see text] symmetry of [Formula: see text] gauge group, in one-dimensional gauged chain. The action can be obtained by considering the terms of a [Formula: see text]-dimensional Euclidean lattice action of a [Formula: see text] gauge theory that break the [Formula: see text] symmetry explicitly. The matter fields in the resulting partition function can be integrated out exactly, for a given background of link variables, to calculate the Polyakov loop free energy. To keep the temperature fixed, the lattice spacing is scaled appropriately as the number of “temporal” sites is varied. In the case of Higgs as matter field, the Polyakov loop free energy exhibits the [Formula: see text] symmetry in the limit of large number of temporal sites. For fermions, the strength of [Formula: see text] explicit breaking decreases for finer lattices, but approaches a nonzero value in the same limit. We discuss the possible implications of these results to [Formula: see text] gauge theories in [Formula: see text] dimensions.