Dr Peter Bowcock peter.bowcock@durham.ac.uk
Associate Professor
Some aspects of jump-defects in the quantum sine-Gordon model
Bowcock, P.; Corrigan, E.; Zambon, C.
Authors
E. Corrigan
Dr Cristina Zambon cristina.zambon@durham.ac.uk
Assistant Professor
Abstract
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.
Citation
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. https://doi.org/10.1088/1126-6708/2005/08/023
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 |
DOI | https://doi.org/10.1088/1126-6708/2005/08/023 |
Keywords | Solitons Monopoles, Instantons, Field theories in lower dimensions, Integrable field theories, Exact s-matrix. |
Public URL | https://durham-repository.worktribe.com/output/1563754 |
Publisher URL | http://www.iop.org/EJ/abstract/1126-6708/2005/08/023/ |
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Copyright Statement
arXiv version
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