The Bethe ansatz and the Tzitzéica–Bullough–Dodd equation

2012/09/25 by Patrick Dorey, Simone Faldella, Stefano Negro +1 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Ansatz #Bethe ansatz #Field (mathematics) #Integrable system #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Quantum #Quantum field theory #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1098/rsta.2012.0052

20 pages

arxiv created 2012/09/25 · openalex publication_date 2013/03/19 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 extend this link to the case of the classical and quantum versions of the Tzitzéica-Bullough-Dodd model.

Citations

• Spectral Determinants for Schrödinger Equation and Q-Operators of Conformal Field Theory
• The inverse scattering method approach to the quantum Shabat-Mikhailov model
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