The affine Toda S matrices versus perturbation theory

Apr, 1992
27 pages
Published in:
  • Int.J.Mod.Phys.A 8 (1993) 115-134
Report number:
  • YITP-U-92-08

Citations per year

1993200120092017202401234567
Abstract: (WSP)
We present perturbative calculations for the Affine Toda Field Theory (ATFT) S-matrices to the second order in the coupling constants for An(1)A_n^{\left( 1 \right)} and Dn(1)D_n^{\left( 1 \right)} in general, to the fourth order for A2(1)A_2^{\left( 1 \right)} theory as well as to the sixth order for A1(1)A_1^{\left( 1 \right)} 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.
  • field theory: Toda
  • field theory: affine
  • dimension: 2
  • algebra: Lie
  • S-matrix
  • perturbation theory: higher-order
Loading ...