Baryon masses in the three-state Potts field theory in a weak magnetic field
arXiv:1408.1818 · doi:10.1088/1742-5468/2015/01/P01010
Abstract
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.
arXiv comment15 pages, 4 figures, some misprints corrected, two references added
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- Bound States of Majorana Fermions in Semi-classical Approximation
- Escaping fronts in local quenches of a confining spin chain
- Confinement and false vacuum decay on the Potts quantum spin chain
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- Confinement in the tricritical Ising model