Eur. Phys. J. C (2004) 33: 137-148
https://doi.org/10.1140/epjc/s2003-01523-7

theoretical physics

Affine Toda field theory from tree unitarity

Department of Physics and Meteorology and Centre for Theoretical Studies, Indian Institute of Technology, 721302, Kharagpur, India

^* e-mail: pratik@cts.iitkgp.ernet.in

Abstract

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.