Abstract We directly calculate the interaction energy of an eigenstate with a single particle and a single hole for the XXZ -spin chain. We find the connection of this addition to energy with a two-particle forward scattering phase shift function. The results can be applied to the calculation of the exponents of the threshold singularities in the correlators of the XXZ -spin chain.

arXiv:1908.09698Journal of Statistical Mechanics Theory and ExperimentSep 1, 20191 citation

arXiv:1304.2908 · Physics Letters A

On the particle excitations in the XXZ spin chain

Alexander A. Ovchinnikov

Published Oct 9, 2013• 3 citations

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DOI: 10.1016/j.physleta.2013.10.009

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We consider the XXZ spin chain in the scaling limit in the Matsubara direction. The main result of this paper is new representations for the functions

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and

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associated with the function

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found in the expression for the correlation function of the generators of the fermionic basis for the XXZ spin chain. The final result incorporates the case of particle-hole excitations which is needed for the relation of the fermionic basis to the Virasoro basis of the CFT descendants.