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Vertex operators, semiclassical limit for soliton S-matrices and the number of bound states in Affine Toda Field Theories

Marco A. C. Kneipp
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Abstract

Soliton time-delays and the semiclassical limit for soliton S-matrices are calculated for non-simply laced Affine Toda Field Theories. The phase shift is written as a sum over bilinears on the soliton conserved charges. The results apply to any two solitons of any Affine Toda Field Theory. As a by-product, a general expression for the number of bound states and the values of the coupling in which the S-matrix can be diagonal are obtained. In order to arrive at these results, a vertex operator is constructed, in the principal gradation, for non-simply laced affine Lie algebras, extending the previous constructions for simply laced and twisted affine Lie algebras.

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Marco A. C. Kneipp. 1999-10-05. Vertex operators, semiclassical limit for soliton S-matrices and the number of bound states in Affine Toda Field Theories. https://doi.org/10.1016/s0550-3213(00)00104-8

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