Two-kink bound states in the magnetically perturbed Potts field theory at T<Tc

Abstract

The q-state Potts field theory with $2\le q\le 4$ in the low-temperature phase is considered in presence of a weak magnetic field h. In absence of the magnetic field, the theory is integrable, but not free at q>2: its elementary excitations - the kinks - interact at small distances, and their interaction can be characterized by the factorizable scattering matrix which was found by Chim and Zamolodchikov. The magnetic field induces the long-range attraction between kinks causing their confinement into the bound-states. We calculate the masses of the two-kink bound states in the leading order in |h| -> 0 expressing them in terms of the scattering matrix of kinks at h=0.

20 pages, no figures, v2: one section and references added

References in corpus (6)

• Form factors in finite volume II:disconnected terms and finite temperature correlators
• Confinement in the q-state Potts field theory
• Particle spectrum of the 3-state Potts field theory: a numerical study
• The particle spectrum of the Tricritical Ising Model with spin reversal symmetric perturbations
• Formfactor perturbation expansions and confinement in the Ising field theory
• Effective potentials and kink spectra in non-integrable perturbed conformal field theories

Cited by in corpus (14)

• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• On the weak confinement of kinks in the one-dimensional quantum ferromagnet CoNb2O6
• Fields, particles and universality in two dimensions
• Baryon masses in the three-state Potts field theory in a weak magnetic field
• 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
• Escaping fronts in local quenches of a confining spin chain
• Soliton confinement in the double sine-Gordon model
• Confinement of spinons in the XXZ spin-1/2 chain in presence of the transverse magnetic field
• Confinement and false vacuum decay on the Potts quantum spin chain
• Confinement in the tricritical Ising model
• Universal Euler-Cartan Circuits for Quantum Field Theories