Deriving Boundary S Matrices

Details Deriving Boundary S Matrices Deriving Boundary S Matrices

1994-02-09

arxiv.org/abs/hep-th/9402045v1

Nucl.Phys. B428 (1994) 681-693

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, USC-94-001

Scientific paper

10.1016/0550-3213(94)90369-7

We show how to derive exact boundary $S$ matrices for integrable quantum field theories in 1+1 dimensions using lattice regularization. We do this calculation explicitly for the sine-Gordon model with fixed boundary conditions using the Bethe ansatz for an XXZ-type spin chain in a boundary magnetic field. Our results agree with recent conjectures of Ghoshal and Zamolodchikov, and indicate that the only solutions to the Bethe equations which contribute to the scaling limit are the standard strings.

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