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### Quantum scattering of charged solitons in the complex sine-Gordon model / Nicholas Dorey; Timothy Hollowood

Nuclear Physics B, Volume: "B440", Issue: 1-2, Pages: 215 - 236

Swansea University Author:

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DOI (Published version): 10.1016/0550-3213(95)00074-3

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 $\lambda~{2}_{R}=4\pi/k$ for any integer $k>1$: the minimal S-matrix associated with the L...

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Published in: Nuclear Physics B 05503213 1994 https://cronfa.swan.ac.uk/Record/cronfa28580 No Tags, Be the first to tag this record!
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 $\lambda~{2}_{R}=4\pi/k$ for any integer $k>1$: the minimal S-matrix associated with the Lie algebra $a_{k-1}$. 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$(2)/{\rm U}(1)$ coset model at level $k$ perturbed by its first thermal College of Science 1-2 215 236