Singularity analysis in $A_n$ Affine Toda Theories

Details Singularity analysis in $A_n$ Affine Toda Theories Singularity analysis in $A_n$ Affine Toda Theories

1992-07-09

arxiv.org/abs/hep-th/9207025v1

Prog.Theor.Phys. 88 (1992) 1205-1212

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, plain latex

Scientific paper

10.1143/PTP.88.1205

The leading and the subleading Landau singularities in affine Toda field theories are examined in some detail. Formulae describing the subleading simple pole structure of box diagrams are given explicitly. This leads to a new and nontrivial test of the conjectured exact S-matrices for these theories. We show that to the one-loop level the conjectured S-matrices of the $A_n$ Toda family reproduce the correct singularity structure, leading as well as subleading, of the field theoretical amplitudes. The present test has the merit of being independent of the details of the renormalisations.

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