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THE AFFINE TODA S-MATRICES vs PERTURBATION THEORY

RYU SASAKI

Uji Research Center, Yukawa Institute for Theoretical Physics, Kyoto University, Uji 611, Japan

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and

FREDDY PERMANA ZEN

Uji Research Center, Yukawa Institute for Theoretical Physics, Kyoto University, Uji 611, Japan

also at Dept. of Physics, Hiroshima University, Higashi Hiroshima 724, Japan.

On leave of absence from Dept. of Physics, Institute of Technology Bandung, Ganesha 10 Bandung 40132, Indonesia.

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https://doi.org/10.1142/S0217751X93000059Cited by:14 (Source: Crossref)

Abstract

We present perturbative calculations for the Affine Toda Field Theory (ATFT) S-matrices to the second order in the coupling constants for and in general, to the fourth order for theory as well as to the sixth order for theory. Conventional Feynman–Dyson calculation method and the dispersion approach are used to calculate the complete form of the perturbation amplitudes in contrast to the pole residues in previous papers. The results agree with those S-matrices obtained in the S-matrix approach, namely those based on analyticity, unitarity, crossing and bootstrap equation.