Confinement in the q-state Potts field theory

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.

21 pages, 8 figures. v2: references added

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• Confinement in the q-state Potts model: an RG-TCSA study
• Dynamical hadron formation in long-range interacting quantum spin chains
• Particle spectrum of the 3-state Potts field theory: a numerical study
• Classifying Potts critical lines
• Fields, particles and universality in two dimensions
• Field theory of Ising percolating clusters
• On superuniversality in the $q$-state Potts model with quenched disorder
• Formfactor perturbation expansions and confinement in the Ising field theory
• Two-kink bound states in the magnetically perturbed Potts field theory at T<Tc
• Persistent oscillations after quantum quenches in $d$ dimensions
• Relaxation and entropy generation after quenching quantum spin chains
• Functional RG approach to the Potts model
• Baryon masses in the three-state Potts field theory in a weak magnetic field
• Realizing and Probing Baryonic Excitations in Rydberg Atom Arrays
• Radiative corrections to the quark masses in the ferromagnetic Ising and Potts field theories
• Quasi-particle spectrum and entanglement generation after a quench in the quantum Potts spin chain
• Spinon confinement in the gapped antiferromagnetic XXZ spin-1/2 chain
• Bound States of Majorana Fermions in Semi-classical Approximation
• Even-odd effects in the $J_1-J_2$ SU($N$) Heisenberg spin chain
• Escaping fronts in local quenches of a confining spin chain
• Critical points in coupled Potts models and correlated percolation
• Mesons in a quantum Ising ladder
• Confinement and false vacuum decay on the Potts quantum spin chain
• Confinement in the tricritical Ising model
• Hierarchy of the low-lying excitations for the $(2+1)$-dimensional $q=3$ Potts model in the ordered phase