Energy spectrum of bound-spinons in the quantum Ising spin-chain ferromagnet
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. 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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