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Bethe state norms for the Heisenberg spin chain in the scaling limit

Gleb A. Kotousov, Sergei L. Lukyanov

Nuclear Physics B · 2019

doi:10.1016/j.nuclphysb.2019.114748 (opens in a new tab)

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Abstract

In this paper we discuss the norms of the Bethe states for the spin 12 Heisenberg chain in the critical regime. Our analysis is based on the ODE/IQFT correspondence. Together with numerical work, this has lead us to formulate a set of conjectures concerning the scaling behavior of the norms. Also, we clarify the rôle of the different Hermitian structures associated with the integrable structure studied in the series of works of Bazhanov, Lukyanov and Zamolodchikov in the mid nineties.

Abstract licence: CC BY

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