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Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE
by O. Babelon, K. K. Kozlowski, V. Pasquier
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Karol Kozlowski |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/1804.01749v3 (pdf) |
| Date accepted: | 2018-10-08 |
| Date submitted: | 2018-06-21 02:00 |
| Submitted by: | Kozlowski, Karol |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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.
Author comments upon resubmission
We thank the referee for his comments. We have taken all of them into account.
List of changes
All has been implemented.
Published as SciPost Phys. 5, 035 (2018)