A transmission matrix for a fused pair of integrable defects in the sine-Gordon model.

Corrigan, E.; Zambon, C.

Abstract

Within the quantum sine-Gordon model a transmission matrix describing the scattering of a soliton with a fused pair of integrable defects is proposed. The result is consistent with the classical picture of scattering and highlights the differences between two defects located at separated points and two defects fused at the same point. Moreover, the analysis reveals how, for certain choices of parameters, both the soliton–soliton and the lightest breather–soliton S-matrices of the sine-Gordon model are embedded within the transmission matrix, supporting an interpretation in which defects may be regarded as soliton constituents.

Citation

Corrigan, E., & Zambon, C. (2010). A transmission matrix for a fused pair of integrable defects in the sine-Gordon model. Journal of Physics A: Mathematical and Theoretical, 43, Article 345201. https://doi.org/10.1088/1751-8113/43/34/345201

• Journal Article Type: Article
• Publication Date: 2010-07
• Deposit Date: Feb 17, 2011
• Journal: Journal of Physics A: Mathematical and Theoretical
• Print ISSN: 1751-8113
• Electronic ISSN: 1751-8121
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 43
• Article Number: 345201
• DOI: https://doi.org/10.1088/1751-8113/43/34/345201
• Public URL: https://durham-repository.worktribe.com/output/1543517