We study the ultraviolet asymptotics in affine Toda theories. These models are considered as perturbed non-affine Toda theories. We calculate the reflection amplitudes, which relate different exponential fields with the same quantum numbers. Using these amplitudes we derive the quantization condition for the vacuum wave function, describing zero-mode dynamics, and calculate the UV asymptotics of the effective central charge. These asymptotics are in a good agreement with thermodynamic Bethe ansatz results. (C) 2000 Elsevier Science B.V. All rights reserved.
机构:Laboratoire de Physique Mathematique2 2 Laboratoire Associe au CNRS URA 768., Montpellier, France3 3 Mail address: Université des Sciences and Techniques du Languedoc, F-34095 Montpellier Cedex, Place Eugène Bataillon
机构:Laboratoire de Physique Mathematique2 2 Laboratoire Associe au CNRS URA 768., Montpellier, France3 3 Mail address: Université des Sciences and Techniques du Languedoc, F-34095 Montpellier Cedex, Place Eugène Bataillon