Energy Spectrum of Bound-Spinons in the Quantum Ising Spin-Chain Ferromagnet

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Abstract

We study the excitation energy spectrum in the S=1/2 ferromagnetic Ising spin chain with the easy axis z in a magnetic field h={hx,0,hz}. According to Wu and McCoy's scenario of weak confinement, the fermionic spinon excitations (kinks), being free at hz=0 in the ordered phase, are coupled into bosonic bound states at arbitrary small hz>0. We calculate the energy spectrum of such excitations in the leading order in small hz, using different perturbative methods developed for the similar problem in the Ising Field Theory.

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