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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 118, Number 3, Pages 452–461
DOI: https://doi.org/10.4213/tmf718 (Mi tmf718) 		 
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
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DOI: https://doi.org/10.4213/tmf718
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.
English version:
Theoretical and Mathematical Physics, 1999, Volume 118, Issue 3, Pages 357–364
DOI: https://doi.org/10.1007/BF02557333
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\paper Bethe equations ``on the wrong side of the equator''
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\pages 452--461
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\jour Theoret. and Math. Phys.
\yr 1999
\vol 118
\issue 3
\pages 357--364
\crossref{https://doi.org/10.1007/BF02557333}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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