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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 | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/1804.01749v3 (pdf) |
| Date accepted: | Oct. 8, 2018 |
| Date submitted: | June 21, 2018, 2 a.m. |
| Submitted by: | Karol Kozlowski |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| 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.
Current status:
Published
Editorial decision:
For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)