Polynomial Recursion Equations in Form Factors of ADE Toda Field Theories

Details Polynomial Recursion Equations in Form Factors of ADE Toda Field Theories Polynomial Recursion Equations in Form Factors of ADE Toda Field Theories

1997-05-20

arxiv.org/abs/hep-th/9705142v1

Lett.Math.Phys. 43 (1998) 211-224

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Latex, no figures

Scientific paper

It is shown that the problem of calculating form factors in ADE affine Toda field theories can be reduced to the nonperturbative recursive calculation of polynomials symmetric in each sort of variables. We determine these recursion equations explicitly for the ADE series and characterize the polynomial solutions by an interplay between the weight space of the underlying Lie algebra and representations of the symmetric group.

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