Affine Toda field theory from tree unitarity

Abstract

Elasticity property (i.e. no-particle creation) is used in the tree level scattering of scalar particles in 1+1 dimensions to construct the affine Toda field theory(ATFT) associated with root systems of 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.

22 pages, 50 postscript figure files, Latex2e Added reference, typos corrected, minor text modification

Cited by in corpus (2)

• Non Relativistic Limit of Integrable QFT and Lieb-Liniger Models
• Tree level integrability in 2d quantum field theories and affine Toda models