Form Factors of the Heisenberg Spin Chain in the Thermodynamic Limit: Dealing with Complex Bethe Roots

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Authors: Kitanine, Nikolai, Kulkarni, Giridhar
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211415
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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

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 thermodynami...