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

Frassek, Rouven

doi:10.1088/1751-8113/48/29/294002

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

Frassek, Rouven

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

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