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Bethe equations “on the wrong side of the equator”
G. P. Pron'koab, Yu. G. Stroganova a Institute for High Energy Physics
b International Solvay Institute
Abstract:
The $T$–$Q$ Baxter equations for the $XXX$ ($XXZ$) spin chain are analyzed. For each polynomial (trigonometric) solution of degree not exceeding $N/2$, which provides a solution of the Bethe ansatz equations, there exists a second linearly independent polynomial solution of degree greater than $N/2$. This second solution plays an essential role; in particular, all fusion relations follow from these two solutions.
Citation:
G. P. Pron'ko, Yu. G. Stroganov, “Bethe equations “on the wrong side of the equator””, TMF, 118:3 (1999), 452–461; Theoret. and Math. Phys., 118:3 (1999), 357–364
Linking options:
https://www.mathnet.ru/eng/tmf718https://doi.org/10.4213/tmf718 https://www.mathnet.ru/eng/tmf/v118/i3/p452
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Abstract page: | 330 | Full-text PDF : | 207 | References: | 46 | First page: | 1 |
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