Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-08-05
Eur.Phys.J. C33 (2004) 137-148
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, 50 postscript figure files, Latex2e Added reference, typos corrected, minor text modification
Scientific paper
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.
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