Direct Calculation of the Boundary $S$ Matrix for the Open Heisenberg Chain

Details Direct Calculation of the Boundary $S$ Matrix for the Open Heisenberg Chain Direct Calculation of the Boundary $S$ Matrix for the Open Heisenberg Chain

1994-07-15

arxiv.org/abs/hep-th/9407089v1

J.Phys. A28 (1995) 1027-1046

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, plain TEX, UMTG-177

Scientific paper

10.1088/0305-4470/28/4/025

We calculate the boundary $S$ matrix for the open antiferromagnetic spin $1/2$ isotropic Heisenberg chain with boundary magnetic fields. Our approach, which starts from the model's Bethe Ansatz solution, is an extension of the Korepin-Andrei-Destri method. Our result agrees with the boundary $S$ matrix for the boundary sine-Gordon model with $\beta^2 \rightarrow 8\pi$ and with ``fixed'' boundary conditions.

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