6533b86cfe1ef96bd12c8ae7

RESEARCH PRODUCT

The Bethe ansatz and the Tzitzéica–Bullough–Dodd equation

Roberto TateoPatrick DoreySimone FaldellaStefano Negro

subject

High Energy Physics - TheoryPhysicsQuantum PhysicsQuantum sigma modelsIntegrable system010308 nuclear & particles physicsGeneral MathematicsGeneral EngineeringGeneral Physics and AstronomyODE/IM correspondenceQuantum sigma models ODE/IM correspondence01 natural sciencesBethe ansatzNonlinear Sciences::Exactly Solvable and Integrable SystemsNonlinear wave equation0103 physical sciencesCylinderQuantum field theory010306 general physicsMathematical PhysicsMathematical physics

description

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 (Tzitz\'eica-)Bullough-Dodd model.

https://doi.org/10.1098/rsta.2012.0052