Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-10-24
Nucl.Phys. B628 (2002) 486-504
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, 3 figures, LaTeX2e
Scientific paper
10.1016/S0550-3213(02)00133-5
We study the ultraviolet asymptotics in $A_n$ affine Toda theories with integrable boundary actions. The reflection amplitudes of non-affine Toda theories in the presence of conformal boundary actions have been obtained from the quantum mechanical reflections of the wave functional in the Weyl chamber and used for the quantization conditions and ground-state energies. We compare these results with the thermodynamic Bethe ansatz derived from both the bulk and (conjectured) boundary scattering amplitudes. The two independent approaches match very well and provide the non-perturbative checks of the boundary scattering amplitudes for Neumann and $(+)$ boundary conditions. Our results also confirm the conjectured boundary vacuum energies and the duality conjecture between the two boundary conditions.
Ahn Changrim
Kim Chanju
Rim Chaiho
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