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

Kotousov, Gleb A.; Lukyanov, Sergei L.

doi:10.1016/j.nuclphysb.2019.114748

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

Gleb A. Kotousov
(
- Rutgers U., Piscataway and
- Australian Natl. U., Canberra
)
,
Sergei L. Lukyanov
(
- Rutgers U., Piscataway and
- IITP, Moscow
)

Jun 17, 2019

31 pages

Published in:

Nucl.Phys.B 947 (2019) 114748

Published: Oct, 2019

e-Print:

1906.07081 [hep-th]

DOI:

10.1016/j.nuclphysb.2019.114748 (publication)

View in:

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Abstract: (Elsevier)

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.

Note:

31 pages, 5 figures, v3: minor typos fixed

spin: chain
Heisenberg
Bethe ansatz
scaling
integrability

References(25)

Figures(6)

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