The Bethe Ansatz and the Tzitzéica-Bullough-Dodd equation

Abstract

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 describe this link for the case of the classical and quantum versions of the (Tzitzéica-)Bullough-Dodd model.

20 pages

References in corpus (4)

• The ODE/IM Correspondence
• Order parameter statistics in the critical quantum Ising chain
• Pseudo-differential equations, and the Bethe Ansatz for the classical Lie algebras
• PT symmetry breaking and exceptional points for a class of inhomogeneous complex potentials

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• Massive ODE/IM Correspondence and Non-linear Integral Equations for $A_r^{(1)}$-type modified Affine Toda Field Equations
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