Scalar products of Bethe vectors in the 8-vertex model
Abstract We obtain a determinant representation of normalized scalar products of on-shell and off-shell Bethe vectors in the inhomogeneous 8-vertex model. We consider the case of rational anisotropy parameter and use the generalized algebraic Bethe ansatz approach. Our method is to obtain a system o...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2020)123 |
| _version_ | 1818304014513602560 |
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| author | N. Slavnov A. Zabrodin A. Zotov |
| author_facet | N. Slavnov A. Zabrodin A. Zotov |
| author_sort | N. Slavnov |
| collection | DOAJ |
| description | Abstract We obtain a determinant representation of normalized scalar products of on-shell and off-shell Bethe vectors in the inhomogeneous 8-vertex model. We consider the case of rational anisotropy parameter and use the generalized algebraic Bethe ansatz approach. Our method is to obtain a system of linear equations for the scalar products, prove its solvability and solve it in terms of determinants of explicitly known matrices. |
| first_indexed | 2024-12-13T06:03:58Z |
| format | Article |
| id | doaj.art-066b8854b0f448fd9d1868aa78596d56 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T06:03:58Z |
| publishDate | 2020-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-066b8854b0f448fd9d1868aa78596d562022-12-21T23:57:15ZengSpringerOpenJournal of High Energy Physics1029-84792020-06-012020615510.1007/JHEP06(2020)123Scalar products of Bethe vectors in the 8-vertex modelN. Slavnov0A. Zabrodin1A. Zotov2Steklov Mathematical Institute of Russian Academy of SciencesSteklov Mathematical Institute of Russian Academy of SciencesSteklov Mathematical Institute of Russian Academy of SciencesAbstract We obtain a determinant representation of normalized scalar products of on-shell and off-shell Bethe vectors in the inhomogeneous 8-vertex model. We consider the case of rational anisotropy parameter and use the generalized algebraic Bethe ansatz approach. Our method is to obtain a system of linear equations for the scalar products, prove its solvability and solve it in terms of determinants of explicitly known matrices.http://link.springer.com/article/10.1007/JHEP06(2020)123Bethe AnsatzLattice Integrable Models |
| spellingShingle | N. Slavnov A. Zabrodin A. Zotov Scalar products of Bethe vectors in the 8-vertex model Journal of High Energy Physics Bethe Ansatz Lattice Integrable Models |
| title | Scalar products of Bethe vectors in the 8-vertex model |
| title_full | Scalar products of Bethe vectors in the 8-vertex model |
| title_fullStr | Scalar products of Bethe vectors in the 8-vertex model |
| title_full_unstemmed | Scalar products of Bethe vectors in the 8-vertex model |
| title_short | Scalar products of Bethe vectors in the 8-vertex model |
| title_sort | scalar products of bethe vectors in the 8 vertex model |
| topic | Bethe Ansatz Lattice Integrable Models |
| url | http://link.springer.com/article/10.1007/JHEP06(2020)123 |
| work_keys_str_mv | AT nslavnov scalarproductsofbethevectorsinthe8vertexmodel AT azabrodin scalarproductsofbethevectorsinthe8vertexmodel AT azotov scalarproductsofbethevectorsinthe8vertexmodel |