## Abstract

We have given several pieces of evidence that perturbation theory manages to reproduce various salient features of the conjectured exact S-matrices of ATFT. At present, we do not see how to use perturbation theory to provide an efficient description of the quantum field theory; an alternative formulation may well be required in order to find a proper understanding of the conjectured S-matrices and other features such as the mass-renormalization and the Clebsch-Gordan property. Certainly, the knowledge from other approaches, for example, the Quantum Group approach to imaginary coupling ATFT, investigations of the Bethe-Salpeter equations for the bound states in ATFT and the algebraic Bethe ansatz method advocated for many years by Faddeev and others would be helpful in the search for such a re-formulation. (J.P.N.).

Braden, H W;

^{[1] }Corrigan, E; Dorey, P E; Sasaki, R- Edinburgh Univ. (United Kingdom). Dept. of Mathematics

## Citation Formats

Braden, H W, Corrigan, E, Dorey, P E, and Sasaki, R.
Affine Toda Field Theory. S-matrix vs perturbation.
Japan: N. p.,
1991.
Web.

Braden, H W, Corrigan, E, Dorey, P E, & Sasaki, R.
Affine Toda Field Theory. S-matrix vs perturbation.
Japan.

Braden, H W, Corrigan, E, Dorey, P E, and Sasaki, R.
1991.
"Affine Toda Field Theory. S-matrix vs perturbation."
Japan.

@misc{etde_10108966,

title = {Affine Toda Field Theory. S-matrix vs perturbation}

author = {Braden, H W, Corrigan, E, Dorey, P E, and Sasaki, R}

abstractNote = {We have given several pieces of evidence that perturbation theory manages to reproduce various salient features of the conjectured exact S-matrices of ATFT. At present, we do not see how to use perturbation theory to provide an efficient description of the quantum field theory; an alternative formulation may well be required in order to find a proper understanding of the conjectured S-matrices and other features such as the mass-renormalization and the Clebsch-Gordan property. Certainly, the knowledge from other approaches, for example, the Quantum Group approach to imaginary coupling ATFT, investigations of the Bethe-Salpeter equations for the bound states in ATFT and the algebraic Bethe ansatz method advocated for many years by Faddeev and others would be helpful in the search for such a re-formulation. (J.P.N.).}

place = {Japan}

year = {1991}

month = {Jan}

}

title = {Affine Toda Field Theory. S-matrix vs perturbation}

author = {Braden, H W, Corrigan, E, Dorey, P E, and Sasaki, R}

abstractNote = {We have given several pieces of evidence that perturbation theory manages to reproduce various salient features of the conjectured exact S-matrices of ATFT. At present, we do not see how to use perturbation theory to provide an efficient description of the quantum field theory; an alternative formulation may well be required in order to find a proper understanding of the conjectured S-matrices and other features such as the mass-renormalization and the Clebsch-Gordan property. Certainly, the knowledge from other approaches, for example, the Quantum Group approach to imaginary coupling ATFT, investigations of the Bethe-Salpeter equations for the bound states in ATFT and the algebraic Bethe ansatz method advocated for many years by Faddeev and others would be helpful in the search for such a re-formulation. (J.P.N.).}

place = {Japan}

year = {1991}

month = {Jan}

}