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

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

1995-01-30

arxiv.org/abs/hep-th/9501136v2

Nucl.Phys. B449 (1995) 375-405

Physics

High Energy Physics

High Energy Physics - Theory

Comments to figure 1 changed, some misprints corrected, 31 pages, LATEX. (Version accepted for publication in NUCLEAR PHYSICS

Scientific paper

10.1016/0550-3213(95)00285-Z

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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