2007/06/19 by Gesualdo Delfino, Paolo Grinza
Mathematics · Physics and Astronomy · #Color confinement #Combinatorics #Condensed matter physics #Deconfinement #Duality (order theory) #Magnetic field #Mathematics #Phase transition #Physics #Potts model #Quantum Chromodynamics and Particle Interactions #Quantum many-body systems #Quantum mechanics #Quark #Symmetry breaking #Theoretical and Computational Physics #Theoretical physics #Universality (dynamical systems) #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2007.09.003
published as Nucl.Phys.B791:265-283,2008 · 21 pages, 8 figures. v2: references added
arxiv created 2007/06/19 · openalex publication_date 2007/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.