Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE
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 spect...
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| Format: | Article |
| Language: | English |
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SciPost
2018-10-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.5.4.035 |
| Summary: | 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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| ISSN: | 2542-4653 |