Bethe state norms for the Heisenberg spin chain in the scaling limit
High Energy Physics - Theory
2020-10-22 v3 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
In this paper we discuss the norms of the Bethe states for the spin one-half 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 role 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.
Keywords
Cite
@article{arxiv.1906.07081,
title = {Bethe state norms for the Heisenberg spin chain in the scaling limit},
author = {Gleb A. Kotousov and Sergei L. Lukyanov},
journal= {arXiv preprint arXiv:1906.07081},
year = {2020}
}
Comments
31 pages, 5 figures, v3: minor typos fixed