Coupling the Sine-Gordon Field Theory to a Mechanical System at the Boundary
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
We describe an integrable system consisting of the sine-Gordon field, restricted to the half line, and coupled to a non-linear oscillator at the boundary. By extension of the coupling constant to imaginary values we also outline the equivalent system for the sinh-Gordon field. We show how Sklyanin's formalism can be applied to situations with dynamic boundary conditions, and illustrate the method with the derivation of our example system.
Keywords
Cite
@article{arxiv.nlin/0201007,
title = {Coupling the Sine-Gordon Field Theory to a Mechanical System at the Boundary},
author = {P. Baseilhac and G. W. Delius and A. George},
journal= {arXiv preprint arXiv:nlin/0201007},
year = {2007}
}
Comments
9 pages, Contribution to the proceedings of the NATO Advanced Research Workshop on Statistical Field Theories 2001