Boundary Yang-Baxter equation in the RSOS/SOS representation
C. Ahn, W.M.Koo
TL;DR
This paper constructs and solves the boundary Yang-Baxter equation in the RSOS/SOS representation, providing solutions that describe boundary scattering in quantum field theory and introducing an algebraic Bethe ansatz method for diagonalization.
Contribution
It introduces two classes of solutions to the boundary Yang-Baxter equation in the RSOS/SOS model and develops an algebraic Bethe ansatz approach for the diagonal solution.
Findings
Two classes of solutions: diagonal and non-diagonal.
Diagonal solutions enable Bethe ansatz diagonalization.
Applications to boundary scattering amplitudes in quantum field theory.
Abstract
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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