Quantum scattering of charged solitons in the complex sine-Gordon model
Dorey, Nicholas · Hollwood, Timothy J.
Original · EN
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 λ²ᵣ=4π/k for any integer k>1: the minimal S-matrix associated with the Lie algebra aₖ₋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) coset model at level k perturbed by its first thermal operator.
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