Deriving boundary S matrices
Nuclear Physics BPublished 1 October 1994Open access
Paul Fendley, Hubert Saleur
Citations102
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Abstract
We show how to derive exact boundary $S$ matrices for integrable quantum\nfield theories in 1+1 dimensions using lattice regularization. We do this\ncalculation explicitly for the sine-Gordon model with fixed boundary conditions\nusing the Bethe ansatz for an XXZ-type spin chain in a boundary magnetic field.\nOur results agree with recent conjectures of Ghoshal and Zamolodchikov, and\nindicate that the only solutions to the Bethe equations which contribute to the\nscaling limit are the standard strings.\n
Keywords
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