Elastic s Matrices in (1+1)-Dimensions and Toda Field Theories

Oct, 1989
63 pages
Published in:
  • Int.J.Mod.Phys.A 5 (1990) 4581-4628
Report number:
  • UCSB-TH-89-44

Citations per year

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Abstract: (WSP)
Particular deformations of 2-D conformal field theory lead to integrable massive quantum field theories. These can be characterized by the relativistic scattering data. We propose a general scheme for classifying the elastic nondegenerate S-matrix in (1 + 1) dimensions starting from the possible boot-strap processes and the spins of the conserved currents. Their identification with the S-matrix coming from the Toda field theory is analyzed. We discuss both cases of Toda field theory constructed with the simply-laced Dynkin diagrams and the nonsimply-laced ones. We present the results of the perturbative analysis and their geometrical interpretations.
  • field theory: conformal
  • dimension: 2
  • S-matrix: elastic scattering
  • elastic scattering: S-matrix
  • bootstrap
  • field theory: Toda
  • field theory: affine
  • field theory: massive
  • massive: field theory
  • conservation law