Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE

Babelon, Olivier; Kozlowski, Karol; Pasquier, Vincent

doi:10.21468/SciPostPhys.5.4.035

SciPost Physics

Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE

Olivier Babelon, Karol K. Kozlowski, Vincent Pasquier

SciPost Phys. 5, 035 (2018) · published 18 October 2018

doi: 10.21468/SciPostPhys.5.4.035
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.5.4.035
TI  - Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE
PY  - 2018/10/18
UR  - https://www.scipost.org/SciPostPhys.5.4.035
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 5
IS  - 4
SP  - 035
A1  - Babelon, Olivier
AU  - Kozlowski, Karol
AU  - Pasquier, Vincent
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.5.4.035,
	title={{Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE}},
	author={Olivier Babelon and Karol K. Kozlowski and Vincent Pasquier},
	journal={SciPost Phys.},
	volume={5},
	pages={035},
	year={2018},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.5.4.035},
	url={https://scipost.org/10.21468/SciPostPhys.5.4.035},
}

Cited by 3

Ontology / Topics

See full Ontology or Topics database.

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

Authors / Affiliations: mappings to Contributors and Organizations

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¹ Olivier Babelon,
² Karol Kozlowski,
³ Vincent Pasquier

Funder for the research work leading to this publication

Centre National de la Recherche Scientifique / French National Centre for Scientific Research [CNRS]