King's College London

Research portal

Determinant form of correlators in high rank integrable spin chains via separation of variables

Research output: Contribution to journalArticlepeer-review

Standard

Determinant form of correlators in high rank integrable spin chains via separation of variables. / Gromov, Nikolay; Levkovich-Maslyuk, Fedor; Ryan, Paul.

In: Journal of High Energy Physics, Vol. 2021, No. 5, 169, 05.2021.

Research output: Contribution to journalArticlepeer-review

Harvard

Gromov, N, Levkovich-Maslyuk, F & Ryan, P 2021, 'Determinant form of correlators in high rank integrable spin chains via separation of variables', Journal of High Energy Physics, vol. 2021, no. 5, 169. https://doi.org/10.1007/JHEP05(2021)169

APA

Gromov, N., Levkovich-Maslyuk, F., & Ryan, P. (2021). Determinant form of correlators in high rank integrable spin chains via separation of variables. Journal of High Energy Physics, 2021(5), [169]. https://doi.org/10.1007/JHEP05(2021)169

Vancouver

Gromov N, Levkovich-Maslyuk F, Ryan P. Determinant form of correlators in high rank integrable spin chains via separation of variables. Journal of High Energy Physics. 2021 May;2021(5). 169. https://doi.org/10.1007/JHEP05(2021)169

Author

Gromov, Nikolay ; Levkovich-Maslyuk, Fedor ; Ryan, Paul. / Determinant form of correlators in high rank integrable spin chains via separation of variables. In: Journal of High Energy Physics. 2021 ; Vol. 2021, No. 5.

Bibtex Download

@article{ff78aed136ce448aa58a00edd2030d4e,
title = "Determinant form of correlators in high rank integrable spin chains via separation of variables",
abstract = "In this paper we take further steps towards developing the separation of variables program for integrable spin chains with gl(N) symmetry. By finding, for the first time, the matrix elements of the SoV measure explicitly we were able to compute correlation functions and wave function overlaps in a simple determinant form. In particular, we show how an overlap between on-shell and off-shell algebraic Bethe states can be written as a determinant. Another result, particularly useful for AdS/CFT applications, is an overlap between two Bethe states with different twists, which also takes a determinant form in our approach. Our results also extend our previous works in collaboration with A. Cavaglia and D. Volin to general values of the spin, including the SoV construction in the higher-rank non-compact case for the first time.",
keywords = "Bethe Ansatz, Lattice Integrable Models",
author = "Nikolay Gromov and Fedor Levkovich-Maslyuk and Paul Ryan",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = may,
doi = "10.1007/JHEP05(2021)169",
language = "English",
volume = "2021",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "IOP Publishing",
number = "5",

}

RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - Determinant form of correlators in high rank integrable spin chains via separation of variables

AU - Gromov, Nikolay

AU - Levkovich-Maslyuk, Fedor

AU - Ryan, Paul

N1 - Publisher Copyright: © 2021, The Author(s). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/5

Y1 - 2021/5

N2 - In this paper we take further steps towards developing the separation of variables program for integrable spin chains with gl(N) symmetry. By finding, for the first time, the matrix elements of the SoV measure explicitly we were able to compute correlation functions and wave function overlaps in a simple determinant form. In particular, we show how an overlap between on-shell and off-shell algebraic Bethe states can be written as a determinant. Another result, particularly useful for AdS/CFT applications, is an overlap between two Bethe states with different twists, which also takes a determinant form in our approach. Our results also extend our previous works in collaboration with A. Cavaglia and D. Volin to general values of the spin, including the SoV construction in the higher-rank non-compact case for the first time.

AB - In this paper we take further steps towards developing the separation of variables program for integrable spin chains with gl(N) symmetry. By finding, for the first time, the matrix elements of the SoV measure explicitly we were able to compute correlation functions and wave function overlaps in a simple determinant form. In particular, we show how an overlap between on-shell and off-shell algebraic Bethe states can be written as a determinant. Another result, particularly useful for AdS/CFT applications, is an overlap between two Bethe states with different twists, which also takes a determinant form in our approach. Our results also extend our previous works in collaboration with A. Cavaglia and D. Volin to general values of the spin, including the SoV construction in the higher-rank non-compact case for the first time.

KW - Bethe Ansatz

KW - Lattice Integrable Models

UR - http://www.scopus.com/inward/record.url?scp=85106883021&partnerID=8YFLogxK

U2 - 10.1007/JHEP05(2021)169

DO - 10.1007/JHEP05(2021)169

M3 - Article

AN - SCOPUS:85106883021

VL - 2021

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 5

M1 - 169

ER -

View graph of relations

© 2020 King's College London | Strand | London WC2R 2LS | England | United Kingdom | Tel +44 (0)20 7836 5454