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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

Submission summary

As Contributors: Karol Kozlowski
Arxiv Link: https://arxiv.org/abs/1804.01749v3
Date accepted: 2018-10-08
Date submitted: 2018-06-21
Submitted by: Kozlowski, Karol
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Mathematical Physics
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.

Ontology / Topics

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Baxter T-Q equation Non-linear integral equations (NLIE) Thermodynamic Bethe Ansatz (TBA) Toda chains

Published as SciPost Phys. 5, 035 (2018)



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.

Submission & Refereeing History

Resubmission 1804.01749v3 on 21 June 2018
Submission 1804.01749v2 on 21 May 2018

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