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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SciPost
2018-10-01
|
| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.5.4.035 |
| _version_ | 1818521394947817472 |
|---|---|
| author | Olivier Babelon, Karol K. Kozlowski, Vincent Pasquier |
| author_facet | Olivier Babelon, Karol K. Kozlowski, Vincent Pasquier |
| author_sort | Olivier Babelon, Karol K. Kozlowski, Vincent Pasquier |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-11T01:50:26Z |
| format | Article |
| id | doaj.art-39334c778dff4705a24fe5bec13d8916 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-11T01:50:26Z |
| publishDate | 2018-10-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-39334c778dff4705a24fe5bec13d89162022-12-22T01:24:45ZengSciPostSciPost Physics2542-46532018-10-015403510.21468/SciPostPhys.5.4.035Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIEOlivier Babelon, Karol K. Kozlowski, Vincent PasquierWe 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.https://scipost.org/SciPostPhys.5.4.035 |
| spellingShingle | Olivier Babelon, Karol K. Kozlowski, Vincent Pasquier Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE SciPost Physics |
| title | Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE |
| title_full | Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE |
| title_fullStr | Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE |
| title_full_unstemmed | Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE |
| title_short | Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE |
| title_sort | solution of baxter equation for the q toda and toda 2 chains by nlie |
| url | https://scipost.org/SciPostPhys.5.4.035 |
| work_keys_str_mv | AT olivierbabelonkarolkkozlowskivincentpasquier solutionofbaxterequationfortheqtodaandtoda2chainsbynlie |