Form Factors of the Heisenberg Spin Chain in the Thermodynamic Limit: Dealing with Complex Bethe Roots
In this article, we study the thermodynamic limit of the form factors of the Heisenberg spin chain using the algebraic Bethe ansatz approach. Our main goal is to express the form factors for the low-lying excited states as determinants of matrices that remain finite-dimensional in the thermodynamic...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2021 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2021
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211415 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Form Factors of the Heisenberg Spin Chain in the Thermodynamic Limit: Dealing with Complex Bethe Roots. Nikolai Kitanine and Giridhar Kulkarni. SIGMA 17 (2021), 112, 25 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | In this article, we study the thermodynamic limit of the form factors of the Heisenberg spin chain using the algebraic Bethe ansatz approach. Our main goal is to express the form factors for the low-lying excited states as determinants of matrices that remain finite-dimensional in the thermodynamic limit. We show how to treat all types of complex roots of the Bethe equations within this framework. In particular, we demonstrate that the Gaudin determinant for the higher-level Bethe equations arises naturally from the algebraic Bethe ansatz.
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| ISSN: | 1815-0659 |