A simple model with Z_N symmetry
Abstract
We propose a simple model with the Z_N symmetry in order to answer whether the symmetry is a good concept in QCD with light quark mass. The model is constructed by imposing the flavor-dependent twisted boundary condition (TBC) on the three-flavor Polyakov-loop extended Nambu-Jona-Lasinio model. In the model, the Z_N symmetry is preserved below some temperature T_c, but spontaneously broken above T_c. Dynamics of the simple model is similar to that of the original PNJL model without the TBC, indicating that the Z_N symmetry is a good concept. We also investigate the interplay between the Z_N symmetry and the emergence of the quarkyonic phase.
Keywords
Cite
@article{arxiv.1210.7567,
title = {A simple model with Z_N symmetry},
author = {Masanobu Yahiro and Hiroaki Kouno and Yuji Sakai and Takahiro Sasaki and Takahiro Makiyama},
journal= {arXiv preprint arXiv:1210.7567},
year = {2012}
}
Comments
7 pages, 7 figures, Presented at The XXXth International Symposium on Lattice Field Theory, Lattice2012