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

2010/06/04 by E. Corrigan, C Zambon, C. Zambon · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Computer science #Geometry #Integrable system #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Physics #Quantum mechanics #Sine #Soliton #Telecommunications #Transmission (telecommunications) #hep-th #sine-Gordon equation

paper · pdf · doi:10.1088/1751-8113/43/34/345201

published as J.Phys.A43:345201,2010 · 18 pages

arxiv created 2010/06/04 · openalex publication_date 2010/07/19 · arxiv updated 2014/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• The inverse scattering method approach to the quantum Shabat-Mikhailov model
• Defects and dressed boundaries in complex sine-Gordon theory
• A new class of integrable defects
• Reflection–transmission quantum Yang–Baxter equations
• Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models

Cited by

• Quantum anomalies in A(1) r Toda theories with defects
• The sine-Gordon model in the presence of defects