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Affine Toda Field Theory. S-matrix vs perturbation

Technical Report:

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.).
Authors:
Braden, H W; [1]  Corrigan, E; Dorey, P E; Sasaki, R
  1. Edinburgh Univ. (United Kingdom). Dept. of Mathematics
Publication Date:
Jan 01, 1991
Product Type:
Technical Report
Report Number:
YITP/U-91-4
Reference Number:
SCA: 662130; PA: JPN-91:011019; SN: 92000630435
Resource Relation:
Other Information: PBD: Jan 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S MATRIX; PERTURBATION THEORY; ISING MODEL; LAGRANGIAN FUNCTION; LAGRANGIAN FIELD THEORY; FEYNMAN DIAGRAM; 662130; S-MATRIX THEORY, RELATIVISTIC SCATTERING THEORY
OSTI ID:
10108966
Research Organizations:
Kyoto Univ., Uji (Japan). Yukawa Inst. for Theoretical Physics
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Other: ON: DE92750828; TRN: JP9111019
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
JPN
Size:
16 p.
Announcement Date:
Jun 30, 2005

Technical Report:

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}
}