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

Gleb A. Kotousov; Sergei L. Lukyanov

doi:10.1016/j.nuclphysb.2019.114748

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

Gleb A. Kotousov, Sergei L. Lukyanov

School of Arts and Sciences, New High Energy Theory Center

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper we discuss the norms of the Bethe states for the spin [Formula presented] 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.

Original language	English (US)
Article number	114748
Journal	Nuclear Physics B
Volume	947
DOIs	https://doi.org/10.1016/j.nuclphysb.2019.114748
State	Published - Oct 2019

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2019.114748

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abstract = "In this paper we discuss the norms of the Bethe states for the spin [Formula presented] 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 r{\^o}le 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.",

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AB - In this paper we discuss the norms of the Bethe states for the spin [Formula presented] 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.

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

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