Coupling the Sine-Gordon Field Theory to a Mechanical System at the Boundary
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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.
9 pages, Contribution to the proceedings of the NATO Advanced Research Workshop on Statistical Field Theories 2001
9 pages, Contribution to the proceedings of the NATO Advanced Research Workshop on Statistical Field Theories 2001