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

Bowcock, P.; Corrigan, E.; Zambon, C.


E. Corrigan


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.


Bowcock, P., Corrigan, E., & Zambon, C. (2005). Some aspects of jump-defects in the quantum sine-Gordon model. Journal of High Energy Physics, 2005(08), Article 023.

Journal Article Type Article
Publication Date Aug 3, 2005
Deposit Date Apr 24, 2007
Publicly Available Date Jun 17, 2015
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2005
Issue 08
Article Number 023
Keywords Solitons Monopoles, Instantons, Field theories in lower dimensions, Integrable field theories, Exact s-matrix.
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