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Reflection amplitudes of boundary Toda theories and thermodynamic Bethe ansatz
Institution:1. Department of Physics, Ewha Womans University, Seoul 120-750, South Korea;2. Department of Physics and Center for Theoretical Physics, Seoul National University, Seoul 151-747, South Korea;3. Department of Physics, Chonbuk National University, Chonju 561-756, South Korea;1. DESY Theory Group, DESY Hamburg, Notkestrasse 85, D-22603 Hamburg, Germany;2. Physics Division, National Technical University of Athens, 15780 Zografou Campus, Athens, Greece;1. Dipartimento di Matematica e Informatica, Università di Cagliari, viale Merello 92, 09123 Cagliari, Italy;2. INFN, Sezione di Cagliari, Cittadella Universitaria, 09042 Monserrato, Italy;3. Rudjer Bošković Institute, Bijenička cesta 54, 10002 Zagreb, Croatia;1. Lebedev Physics Institute, Moscow 119991, Russia;2. ITEP, Moscow 117218, Russia;3. Institute for Information Transmission Problems, Moscow 127994, Russia;4. National Research Nuclear University MEPhI, Moscow 115409, Russia;5. Laboratory of Quantum Topology, Chelyabinsk State University, Chelyabinsk 454001, Russia;1. Department of Physics, Tokyo Metropolitan University, Minami-ohsawa 1-1, Hachioji-shi, Tokyo 192-0397, Japan;2. Research School of High-Energy Physics, Tomsk Polytechnic University, 2a Lenin Avenue, Tomsk 634050, Russian Federation;3. Kavli Institute for the Physics and Mathematics of the Universe (IPMU), The University of Tokyo, Chiba 277-8568, Japan;4. Department of Physics, Faculty of Science, Chulalongkorn University, Phayathai Road, Pathumwan, Bangkok 10330, Thailand
Abstract:We study the ultraviolet asymptotics in An 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.
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