Quantum transfer-matrices for the sausage model
Abstract In this work we revisit the problem of the quantization of the two-dimensional O(3) non-linear sigma model and its one-parameter integrable deformation — the sausage model. Our consideration is based on the so-called ODE/IQFT correspondence, a variant of the Quantum Inverse Scattering Metho...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2018)021 |
| _version_ | 1818981047646289920 |
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| author | Vladimir V. Bazhanov Gleb A. Kotousov Sergei L. Lukyanov |
| author_facet | Vladimir V. Bazhanov Gleb A. Kotousov Sergei L. Lukyanov |
| author_sort | Vladimir V. Bazhanov |
| collection | DOAJ |
| description | Abstract In this work we revisit the problem of the quantization of the two-dimensional O(3) non-linear sigma model and its one-parameter integrable deformation — the sausage model. Our consideration is based on the so-called ODE/IQFT correspondence, a variant of the Quantum Inverse Scattering Method. The approach allowed us to explore the integrable structures underlying the quantum O(3)/sausage model. Among the obtained results is a system of non-linear integral equations for the computation of the vacuum eigenvalues of the quantum transfer-matrices. |
| first_indexed | 2024-12-20T17:25:07Z |
| format | Article |
| id | doaj.art-aa7c92d40b784a818042c2d8ee22afa0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T17:25:07Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-aa7c92d40b784a818042c2d8ee22afa02022-12-21T19:31:37ZengSpringerOpenJournal of High Energy Physics1029-84792018-01-012018118910.1007/JHEP01(2018)021Quantum transfer-matrices for the sausage modelVladimir V. Bazhanov0Gleb A. Kotousov1Sergei L. Lukyanov2Department of Theoretical Physics, Research School of Physics and Engineering, Australian National UniversityDepartment of Theoretical Physics, Research School of Physics and Engineering, Australian National UniversityNHETC, Department of Physics and Astronomy, Rutgers UniversityAbstract In this work we revisit the problem of the quantization of the two-dimensional O(3) non-linear sigma model and its one-parameter integrable deformation — the sausage model. Our consideration is based on the so-called ODE/IQFT correspondence, a variant of the Quantum Inverse Scattering Method. The approach allowed us to explore the integrable structures underlying the quantum O(3)/sausage model. Among the obtained results is a system of non-linear integral equations for the computation of the vacuum eigenvalues of the quantum transfer-matrices.http://link.springer.com/article/10.1007/JHEP01(2018)021Field Theories in Lower DimensionsIntegrable Field TheoriesLattice Integrable ModelsSigma Models |
| spellingShingle | Vladimir V. Bazhanov Gleb A. Kotousov Sergei L. Lukyanov Quantum transfer-matrices for the sausage model Journal of High Energy Physics Field Theories in Lower Dimensions Integrable Field Theories Lattice Integrable Models Sigma Models |
| title | Quantum transfer-matrices for the sausage model |
| title_full | Quantum transfer-matrices for the sausage model |
| title_fullStr | Quantum transfer-matrices for the sausage model |
| title_full_unstemmed | Quantum transfer-matrices for the sausage model |
| title_short | Quantum transfer-matrices for the sausage model |
| title_sort | quantum transfer matrices for the sausage model |
| topic | Field Theories in Lower Dimensions Integrable Field Theories Lattice Integrable Models Sigma Models |
| url | http://link.springer.com/article/10.1007/JHEP01(2018)021 |
| work_keys_str_mv | AT vladimirvbazhanov quantumtransfermatricesforthesausagemodel AT glebakotousov quantumtransfermatricesforthesausagemodel AT sergeillukyanov quantumtransfermatricesforthesausagemodel |