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Some aspects of jump-defects in the quantum sine-Gordon model.

Bowcock, P. and Corrigan, E. and Zambon, C. (2005) 'Some aspects of jump-defects in the quantum sine-Gordon model.', Journal of high energy physics., 2005 (08). 023.


The classical sine-Gordon model permits integrable discontinuities, or jump-defects, where the conditions relating the fields on either side of a defect are Bäcklund transformations frozen at the defect location. The purpose of this article is to explore the extent to which this idea may be extended to the quantum sine-Gordon model and how the striking features of the classical model may translate to the quantum version. Assuming a positive defect parameter there are two types of defect. One type, carrying even charge, is stable, but the other type, carrying odd charge, is unstable and may be considered as a resonant bound state of a soliton and a stable defect. The scattering of solitons with defects is considered in detail, as is the scattering of breathers, and in all cases the jump-defect is purely transmitting. One surprising discovery concerns the lightest breather. Its transmission factor is independent of the bulk coupling — a property susceptible to a perturbative check, but not shared with any of the other breathers. It is argued that classical jump-defects can move and some comments are made concerning their quantum scattering matrix.

Item Type:Article
Keywords:Solitons Monopoles, Instantons, Field theories in lower dimensions, Integrable field theories, Exact s-matrix.
Full text:PDF (arXiv version) - Other (353Kb)
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Publisher statement:© SISSA 2005. Published by Institute of Physics Publishing for SISSA. This is an author-created, un-copyedited version of an article accepted for publication in Journal of high energy physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/1126-6708/2005/08/023.
Record Created:24 Apr 2007
Last Modified:17 Jun 2015 15:51

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