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

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

2009-07-21

arxiv.org/abs/0907.3697v2

J. Phys. A: Math. Theor. 43 (2010) 235004

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1088/1751-8113/43/23/235004

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.

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