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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: Timothy, Hollowood

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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
ISSN: 05503213
Published: 1994
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28580
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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: College of Science
Issue: 1-2
Start Page: 215
End Page: 236