Some aspects of jump-defects in the quantum sine-Gordon model
Jun, 2005
33 pages
Published in:
- JHEP 08 (2005) 023
e-Print:
- hep-th/0506169 [hep-th]
Report number:
- YITP-05-29
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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 Backlund 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.- sine-Gordon model
- dimension: 2
- field equations: solution
- defect: topological
- charge: topological
- conservation law
- soliton: scattering
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