  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.
