On solutions of Bethe equations for the XXZ model
V.Tarasov
TL;DR
This paper demonstrates that solutions to the Bethe ansatz equations for the inhomogeneous XXZ model satisfy generalized identities, providing a simpler proof than previous work for the six-vertex model.
Contribution
It introduces generalized identities for Bethe ansatz solutions in the XXZ model and offers a simpler proof for the six-vertex model case.
Findings
Solutions satisfy generalized identities
Simpler proof for six-vertex model identities
Applicable to inhomogeneous arbitrary spin models
Abstract
It is shown that solutions of the Bethe ansatz equations for the inhomogeneous arbitrary spin XXX or XXZ model satisfy certain identites which generalize those, recently obtained by K.Fabricius and B.M.McCoy, for solutions of the Bethe ansatz equations for the six-vertex model. Even in the last case, the given proof is simpler than the original one.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Black Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions