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Algebraic Bethe ansatz for Q-operators: the Heisenberg spin chain

Frassek, Rouven

Algebraic Bethe ansatz for Q-operators: the Heisenberg spin chain Thumbnail


Authors

Rouven Frassek



Abstract

We diagonalize Q-operators for rational homogeneous sl(2)-invariant Heisenberg spin chains using the algebraic Bethe ansatz. After deriving the fundamental commutation relations relevant for this case from the Yang–Baxter equation we demonstrate that the Q-operators act diagonally on the Bethe vectors if the Bethe equations are satisfied. In this way we provide a direct proof that the eigenvalues of the Q-operators studied here are given by Baxterʼs Q-functions.

Citation

Frassek, R. (2015). Algebraic Bethe ansatz for Q-operators: the Heisenberg spin chain. Journal of Physics A: Mathematical and Theoretical, 48(29), Article 294002. https://doi.org/10.1088/1751-8113/48/29/294002

Journal Article Type Article
Acceptance Date May 19, 2015
Publication Date Jul 24, 2015
Deposit Date Jun 30, 2015
Publicly Available Date Mar 9, 2016
Journal Journal of Physics A: Mathematical and Theoretical
Print ISSN 1751-8113
Electronic ISSN 1751-8121
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 48
Issue 29
Article Number 294002
DOI https://doi.org/10.1088/1751-8113/48/29/294002
Public URL https://durham-repository.worktribe.com/output/1425641

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http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.






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