Scalar Kinks
H.J. de Vega, Luca Mezincescu, Rafael I. Nepomechie
TL;DR
This paper analyzes an integrable antiferromagnetic quantum spin chain with alternating spins, revealing two types of excitations and their scattering properties, including a novel scalar kink with unique scattering behavior.
Contribution
It introduces the existence of scalar kinks in the model and characterizes their scattering, highlighting novel nontrivial scalar-spinor interactions.
Findings
Identification of two gapless excitations: spinor and scalar kinks.
Scalar-spinor scattering is nontrivial, scalar-scalar scattering is absent.
Spinor-spinor scattering remains unchanged by scalar kinks.
Abstract
We determine the excitations and matrix of an integrable isotropic antiferromagnetic quantum spin chain of alternating spin 1/2 and spin 1. There are two types of gapless one-particle excitations: the usual spin 1/2 (``spinor'') kink, and a new spin 0 (``scalar'') kink. Remarkably, the scalar-spinor scattering is nontrivial, yet the spinor-spinor scattering is the same as if the scalar kinks were absent. Moreover, there is no scalar-scalar scattering.
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