Affine Toda field theory in the presence of reflecting boundaries

We show that the “boundary-crossing unitarity equation” recently proposed by Ghoshal and Zamolodchikov is a consequence of the boundary bootstrap equation for the S-matrix and the wall-bootstrap equation. We solve this set of equations for all affine Toda theories related to simply laced Lie algebra...

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Bibliographic Details
Published in:Nuclear physics. B 1994-05, Vol.419 (3), p.647-662
Main Authors: Fring, Andreas, Köberle, Roland
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Theory of quantized fields
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Summary:We show that the “boundary-crossing unitarity equation” recently proposed by Ghoshal and Zamolodchikov is a consequence of the boundary bootstrap equation for the S-matrix and the wall-bootstrap equation. We solve this set of equations for all affine Toda theories related to simply laced Lie algebras, obtaining explicit formulas for the W-matrix which encodes the scattering of a particle with the boundary in the ground state. For each theory there are two solutions to these equations, related by CDD ambiguities, each giving rise to different kind of physics.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(94)90349-2