Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE

Autor: Olivier Babelon, Karol K. Kozlowski, Vincent Pasquier
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: SciPost Physics, Vol 5, Iss 4, p 035 (2018)
Druh dokumentu: article
ISSN: 2542-4653
DOI: 10.21468/SciPostPhys.5.4.035
Popis: We construct a basis of solutions of the scalar $\boldsymbol{ \texttt{t} }- \boldsymbol{ \texttt{Q} }$ equation describing the spectrum of the $q$-Toda and Toda$_2$ chains by using auxiliary non-linear integral equations. Our construction allows us to provide quantisation conditions for the spectra of these models in the form of thermodynamic Bethe Ansatz-like equations.
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