Boundary Yang-Baxter equation in the RSOS/SOS representation |
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| Institution: | 1. Department of Physics, Ewha Womans University, Seoul 120-750, South Korea;2. Center for Theoretical Physics, Seoul National University, Seoul 151-742, South Korea;1. Movement Disorders Center, Department of Neurology, Institute of Neurology, University of Cagliari, Cagliari, Italy;2. The Edmond J. Safra Program in Parkinson''s Disease, Movement Disorders Center, Toronto Western Hospital, Division of Neurology, University of Toronto, Canada |
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| Abstract: | We construct and solve the boundary Yang-Baxter equation in the RSOS/SOS representation. We find two classes of trigonometric solutions; diagonal and nondiagonal. As a lattice model, these two classes of solutions correspond to RSOS/SOS models with fixed and free boundary spins, respectively. Applied to (1 + 1)-dimensional quantum field theory, these solutions give the boundary scattering amplitudes of the particles. For the diagonal solution, we propose an algebraic Bethe ansatz method to diagonalize the SOS-type transfer matrix with boundary and obtain the Bethe ansatz equations. |
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