Boundary Yang-Baxter equation in the RSOS/SOS representation

Details Boundary Yang-Baxter equation in the RSOS/SOS representation Boundary Yang-Baxter equation in the RSOS/SOS representation

1995-08-17

arxiv.org/abs/hep-th/9508080v2

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 5 figures, uses Latex with eepic.sty and epic.sty. Paper substantially expanded; section on SOS model is revised and

Scientific paper

10.1016/0550-3213(96)00160-5

We construct and solve the boundary Yang-Baxter equation in the RSOS/SOS representation. We find two classes of trigonometric solutions; diagonal and non-diagonal. 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)-dimenional 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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