Affine Toda field theory from tree unitarity
Department of Physics and Meteorology and Centre for Theoretical Studies, Indian Institute of Technology, 721302, Kharagpur, India
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The elasticity property (i.e. no particle creation) is used in the tree level scattering of scalar particles in 1 + 1 dimensions to construct affine Toda field theory (ATFT) associated with the root systems of the groups a 2 (2) and c 2 (1). A general prescription is given for constructing ATFT (associated with rank two root systems) with two self-conjugate scalar fields. It is conjectured that the same method could be used to obtain the other ATFT associated with higher rank root systems.
© Springer-Verlag, 2004