Affine Toda Field Theory in the Presence of Reflecting Boundaries

Details Affine Toda Field Theory in the Presence of Reflecting Boundaries Affine Toda Field Theory in the Presence of Reflecting Boundaries

1993-09-24

arxiv.org/abs/hep-th/9309142v1

Nucl.Phys. B419 (1994) 647-664

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, Latex, USP-IFQSC/TH/93-12

Scientific paper

10.1016/0550-3213(94)90349-2

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.

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