  The 3-state Potts field theory describes the scaling limit of the 3-state
Potts model on the two-dimensional lattice near its continuous phase transition
point. In the presence of thermal and magnetic field perturbations, the 3-state
Potts field theory in the ordered phase exhibits confinement of kinks, which
allows both mesons and baryons. We calculate the masses of light baryons in
this model in the weak confinement regime in leading order of the small
magnetic field. In leading order of perturbation theory, the light baryons can
be viewed as bound states of three quantum particles - the kinks, which move on
a line and interact via a linear potential. We determine the masses of the
lightest baryons by numerical solution of the associated non-relativistic
one-dimensional quantum three-body problem.
