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

Nicholas Dorey, Timothy Hollowood Orcid Logo

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

Swansea University Author: Timothy Hollowood Orcid Logo

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

URI: https://cronfa.swan.ac.uk/Record/cronfa28580
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last_indexed 2018-02-09T05:12:52Z
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spelling 2016-06-03T14:36:55.9755188 v2 28580 2016-06-03 Quantum scattering of charged solitons in the complex sine-Gordon model ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH 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 Journal Article Nuclear Physics B "B440" 1-2 215 236 05503213 31 10 1994 1994-10-31 10.1016/0550-3213(95)00074-3 http://inspirehep.net/record/378546 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:55.9755188 2016-06-03T14:36:55.6479167 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Nicholas Dorey 1 Timothy Hollowood 0000-0002-3258-320X 2
title Quantum scattering of charged solitons in the complex sine-Gordon model
spellingShingle Quantum scattering of charged solitons in the complex sine-Gordon model
Timothy Hollowood
title_short Quantum scattering of charged solitons in the complex sine-Gordon model
title_full Quantum scattering of charged solitons in the complex sine-Gordon model
title_fullStr Quantum scattering of charged solitons in the complex sine-Gordon model
title_full_unstemmed Quantum scattering of charged solitons in the complex sine-Gordon model
title_sort Quantum scattering of charged solitons in the complex sine-Gordon model
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Nicholas Dorey
Timothy Hollowood
format Journal article
container_title Nuclear Physics B
container_volume "B440"
container_issue 1-2
container_start_page 215
publishDate 1994
institution Swansea University
issn 05503213
doi_str_mv 10.1016/0550-3213(95)00074-3
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://inspirehep.net/record/378546
document_store_str 0
active_str 0
description 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
published_date 1994-10-31T03:34:49Z
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score 11.036706

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