The Bethe ansatz and the Tzitzéica-Bullough-Dodd equation

The theory of classically integrable nonlinear wave equations and the Bethe ansatz systems describing massive quantum field theories defined on an infinite cylinder are related by an important mathematical correspondence that still lacks a satisfactory physical interpretation. In this paper, we shal...

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Bibliographic Details
Published in:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 2013-04, Vol.371 (1989), p.20120052-20120052
Main Authors: Dorey, Patrick, Faldella, Simone, Negro, Stefano, Tateo, Roberto
Format: Article
Language:English
Subjects:
Affine Toda Field Theory
Bethe Ansatz
Spectral Problems
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Summary:The theory of classically integrable nonlinear wave equations and the Bethe ansatz systems describing massive quantum field theories defined on an infinite cylinder are related by an important mathematical correspondence that still lacks a satisfactory physical interpretation. In this paper, we shall extend this link to the case of the classical and quantum versions of the Tzitzéica-Bullough-Dodd model.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.2012.0052