Classical backgrounds and scattering for affine Toda theory on a half-line

Abstract

We find classical solutions to the simply-laced affine Toda equations which satisfy integrable boundary conditions using solitons which are analytically continued from imaginary coupling theories. Both static `vacuum' configurations and the time-dependent perturbations about them which correspond to classical vacua and particle scattering solutions respectively are considered. A large class of classical scattering matrices are calculated and found to satisfy the reflection bootstrap equation.

Latex document, 28 pages, 3 figures included

Cited by in corpus (6)

• Particle Reflection Amplitudes in a_n^(1) Toda Field Theories
• Quantum corrections to the classical reflection factor in A2(1) Toda Field Theory
• Boundary One-Point Functions, Scattering Theory and Vacuum Solutions in Integrable Systems
• Universal boundary reflection amplitudes
• First order quantum corrections to the classical reflection factor of the sinh-Gordon model
• Aspects of classical backgrounds and scattering for affine Toda theory on a half-line