Off-diagonal Bethe Ansatz for the D 3 1 $$ {D}_3^{(1)} $$ model
Abstract The exact solutions of the D 3 1 $$ {D}_3^{(1)} $$ model (or the so(6) quantum spin chain) with either periodic or general integrable open boundary conditions are obtained by using the off-diagonal Bethe Ansatz. From the fusion, the complete operator product identities are obtained, which a...
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Online Access: | https://doi.org/10.1007/JHEP12(2019)051 |
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doaj-36aa62e89b2a4f4cb3c3577c9f5960502020-12-06T12:07:20ZengSpringerOpenJournal of High Energy Physics1029-84792019-12-0120191212610.1007/JHEP12(2019)051Off-diagonal Bethe Ansatz for the D 3 1 $$ {D}_3^{(1)} $$ modelGuang-Liang Li0Junpeng Cao1Panpan Xue2Kun Hao3Pei Sun4Wen-Li Yang5Kangjie Shi6Yupeng Wang7Department of Applied Physics, Xi’an Jiaotong UniversityBeijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of SciencesDepartment of Applied Physics, Xi’an Jiaotong UniversityInstitute of Modern Physics, Northwest UniversityInstitute of Modern Physics, Northwest UniversityInstitute of Modern Physics, Northwest UniversityInstitute of Modern Physics, Northwest UniversityBeijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of SciencesAbstract The exact solutions of the D 3 1 $$ {D}_3^{(1)} $$ model (or the so(6) quantum spin chain) with either periodic or general integrable open boundary conditions are obtained by using the off-diagonal Bethe Ansatz. From the fusion, the complete operator product identities are obtained, which are sufficient to enable us to determine spectrum of the system. Eigenvalues of the fused transfer matrices are constructed by the T - Q relations for the periodic case and by the inhomogeneous T- Q one for the non-diagonal boundary reflection case. The present method can be generalized to deal with the D n 1 $$ {D}_n^{(1)} $$ model directly.https://doi.org/10.1007/JHEP12(2019)051Bethe AnsatzLattice Integrable Models |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Guang-Liang Li Junpeng Cao Panpan Xue Kun Hao Pei Sun Wen-Li Yang Kangjie Shi Yupeng Wang |
spellingShingle |
Guang-Liang Li Junpeng Cao Panpan Xue Kun Hao Pei Sun Wen-Li Yang Kangjie Shi Yupeng Wang Off-diagonal Bethe Ansatz for the D 3 1 $$ {D}_3^{(1)} $$ model Journal of High Energy Physics Bethe Ansatz Lattice Integrable Models |
author_facet |
Guang-Liang Li Junpeng Cao Panpan Xue Kun Hao Pei Sun Wen-Li Yang Kangjie Shi Yupeng Wang |
author_sort |
Guang-Liang Li |
title |
Off-diagonal Bethe Ansatz for the D 3 1 $$ {D}_3^{(1)} $$ model |
title_short |
Off-diagonal Bethe Ansatz for the D 3 1 $$ {D}_3^{(1)} $$ model |
title_full |
Off-diagonal Bethe Ansatz for the D 3 1 $$ {D}_3^{(1)} $$ model |
title_fullStr |
Off-diagonal Bethe Ansatz for the D 3 1 $$ {D}_3^{(1)} $$ model |
title_full_unstemmed |
Off-diagonal Bethe Ansatz for the D 3 1 $$ {D}_3^{(1)} $$ model |
title_sort |
off-diagonal bethe ansatz for the d 3 1 $$ {d}_3^{(1)} $$ model |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2019-12-01 |
description |
Abstract The exact solutions of the D 3 1 $$ {D}_3^{(1)} $$ model (or the so(6) quantum spin chain) with either periodic or general integrable open boundary conditions are obtained by using the off-diagonal Bethe Ansatz. From the fusion, the complete operator product identities are obtained, which are sufficient to enable us to determine spectrum of the system. Eigenvalues of the fused transfer matrices are constructed by the T - Q relations for the periodic case and by the inhomogeneous T- Q one for the non-diagonal boundary reflection case. The present method can be generalized to deal with the D n 1 $$ {D}_n^{(1)} $$ model directly. |
topic |
Bethe Ansatz Lattice Integrable Models |
url |
https://doi.org/10.1007/JHEP12(2019)051 |
work_keys_str_mv |
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1724399289361235968 |