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arXiv · hep-th/9501136

Exact S-Matrices for Bound States of $a_2^{(1)}$ Affine Toda Solitons

G. M. Gandenberger
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Abstract

Using Hollowood's conjecture for the S-matrix for elementary solitons in complex $a_n^{(1)}$ affine Toda field theories we examine the interactions of bound states of solitons in $a_2^{(1)}$ theory. The elementary solitons can form two different kinds of bound states: scalar bound states (the so-called breathers), and excited solitons, which are bound states with non-zero topological charge. We give explicit expressions of all S-matrix elements involving the scattering of breathers and excited solitons and examine their pole structure in detail. It is shown how the poles can be explained in terms of on-shell diagrams, several of which involve a generalized Coleman-Thun mechanism.

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G. M. Gandenberger. 1995-06-04. Exact S-Matrices for Bound States of $a_2^{(1)}$ Affine Toda Solitons. https://doi.org/10.1016/0550-3213(95)00285-z

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