Baryon masses in the three-state Potts field theory in a weak magnetic field

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.

15 pages, 4 figures, some misprints corrected, two references added

References in corpus (5)

• Excited state TBA and renormalized TCSA in the scaling Potts model
• Confinement in the q-state Potts field theory
• Inelastic scattering and elastic amplitude in Ising field theory in a weak magnetic field at T>T_c. Perturbative analysis
• Effective potentials and kink spectra in non-integrable perturbed conformal field theories
• Integrability, Non-integrability and confinement

Cited by in corpus (7)

• Dynamical hadron formation in long-range interacting quantum spin chains
• Confinement induced impurity states in spin chains
• Radiative corrections to the quark masses in the ferromagnetic Ising and Potts field theories
• Escaping fronts in local quenches of a confining spin chain
• Confinement and false vacuum decay on the Potts quantum spin chain
• Universal Euler-Cartan Circuits for Quantum Field Theories
• Confinement in the tricritical Ising model