2002/01/18 by O. A. Castro-Alvaredo, Olalla A. Castro-Alvaredo, Andreas Fring +6 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Computer science #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Impurity #Integrable system #Mathematics #Nonlinear Waves and Solitons #Optics #Physics #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Reflection (computer programming) #Telecommunications #Transmission (telecommunications) #cond-mat #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0201142
11 pages Latex, 3 figures, clarifying remarks added
openalex publication_date 2002/01/18 · arxiv created 2002/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We establish that the Yang-Baxter equations in the presence of an impurity can in general only admit solutions of simultaneous tranmission and reflection when the transmission and reflection amplitudes commute in the defect degrees of freedom with an additional exchange of the corresponding rapidities. In the absence of defect degrees of freedom we show in complete generality, that the only exceptions to this are theories which possess rapidity independent bulk scattering matrices. In particular bulk theories with diagonal scattering matrices, can only be the free Boson and Fermion, the Federbush model and their generalizations. These anyonic solutions do not admit the possibility of excited impurity states.