Quantum scattering of charged solitons in the complex sine-Gordon model

Oct, 1994
16 pages
Published in:
  • Nucl.Phys.B 440 (1995) 215-236
e-Print:
Report number:
  • SWAT-46

Citations per year

199520022009201620230123456
Abstract:
The scattering of charged solitons in the complex sine-Gordon field theory is investigated. An exact factorizable S-matrix for the theory is proposed when the renormalized coupling constant takes the values λ 2R=4π/k\lambda~{2}_{R}=4\pi/k for any integer k>1k>1: the minimal S-matrix associated with the Lie algebra ak1a_{k-1}. It is shown that the proposed S-matrix reproduces the leading semiclassical behaviour of all amplitudes in the theory and is the minimal S-matrix which is consistent with the semiclassical spectrum of the model. The results are completely consistent with the description of the complex sine-Gordon theory as the SU(2)/U(1)(2)/{\rm U}(1) coset model at level kk perturbed by its first thermal operator.
  • field equations: soliton
  • charged particle: soliton
  • scattering: meson soliton
  • meson soliton: scattering
  • scattering: soliton soliton
  • soliton soliton: scattering
  • sine-Gordon model
  • S-matrix
  • coupling constant
  • approximation: semiclassical