Report
Algebraic Bethe ansatz for the XXZ Heisenberg spin chain with triangular boundaries and the corresponding Gaudin model
| العنوان: | Algebraic Bethe ansatz for the XXZ Heisenberg spin chain with triangular boundaries and the corresponding Gaudin model |
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| المؤلفون: | Manojlović, N., Salom, and I. |
| المصدر: | Nuclear Physics B 923 (2017) pp. 73-106 |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics Nonlinear Sciences |
| مصطلحات موضوعية: | Nonlinear Sciences - Exactly Solvable and Integrable Systems, High Energy Physics - Theory, Mathematical Physics |
| الوصف: | The implementation of the algebraic Bethe ansatz for the XXZ Heisenberg spin chain, of arbitrary spin-$s$, in the case, when both reflection matrices have the upper-triangular form is analyzed. The general form of the Bethe vectors is studied. In the particular form, Bethe vectors admit the recurrent procedure, with an appropriate modification, used previously in the case of the XXX Heisenberg chain. As expected, these Bethe vectors yield the strikingly simple expression for the off-shell action of the transfer matrix of the chain as well as the spectrum of the transfer matrix and the corresponding Bethe equations. As in the XXX case, the so-called quasi-classical limit gives the off-shell action of the generating function of the corresponding trigonometric Gaudin Hamiltonians with boundary terms. Comment: 39 pages. Typos corrected. arXiv admin note: substantial text overlap with arXiv:1405.7398, arXiv:1412.1396 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.nuclphysb.2017.07.017 |
| URL الوصول: | http://arxiv.org/abs/1705.02235 |
| رقم الانضمام: | edsarx.1705.02235 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.nuclphysb.2017.07.017 |
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