Confinement in the q-state Potts field theory
High Energy Physics - Theory
2008-11-26 v2 Statistical Mechanics
Abstract
The q-state Potts field theory describes the universality class associated to the spontaneous breaking of the permutation symmetry of q colors. In two dimensions it is defined up to q=4 and exhibits duality and integrability away from critical temperature in absence of magnetic field. We show how, when a magnetic field is switched on, it provides the simplest model of confinement allowing for both mesons and baryons. Deconfined quarks (kinks) exist in a phase bounded by a first order transition on one side, and a second order transition on the other. The evolution of the mass spectrum with temperature and magnetic field is discussed.
Cite
@article{arxiv.0706.1020,
title = {Confinement in the q-state Potts field theory},
author = {Gesualdo Delfino and Paolo Grinza},
journal= {arXiv preprint arXiv:0706.1020},
year = {2008}
}