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Q-operators for the open Heisenberg spin chain

Frassek, Rouven; Szécsényi, István M.

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Authors

Rouven Frassek

István M. Szécsényi



Abstract

We construct Q-operators for the open spin-View the MathML source XXX Heisenberg spin chain with diagonal boundary matrices. The Q-operators are defined as traces over an infinite-dimensional auxiliary space involving novel types of reflection operators derived from the boundary Yang–Baxter equation. We argue that the Q-operators defined in this way are polynomials in the spectral parameter and show that they commute with transfer matrix. Finally, we prove that the Q-operators satisfy Baxter's TQ-equation and derive the explicit form of their eigenvalues in terms of the Bethe roots.

Citation

Frassek, R., & Szécsényi, I. M. (2015). Q-operators for the open Heisenberg spin chain. Nuclear Physics B, 901, 229-248. https://doi.org/10.1016/j.nuclphysb.2015.10.010

Journal Article Type Article
Acceptance Date Oct 22, 2015
Publication Date Dec 1, 2015
Deposit Date Nov 26, 2015
Publicly Available Date Mar 9, 2016
Journal Nuclear Physics B
Print ISSN 0550-3213
Electronic ISSN 1873-1562
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 901
Pages 229-248
DOI https://doi.org/10.1016/j.nuclphysb.2015.10.010
Public URL https://durham-repository.worktribe.com/output/1417748
Related Public URLs http://arxiv.org/abs/1509.04867

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Published Journal Article (398 Kb)
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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
© 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.






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