2000/08/31 by Peter Mattsson, Patrick Dorey
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Boundary (topology) #Boundary conformal field theory #Boundary value problem #Dirichlet boundary condition #Geometry #Mathematical analysis #Mathematics #Mixed boundary condition #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Physics #Quantum mechanics #Robin boundary condition #Sine #Spectrum (functional analysis) #hep-th
paper · pdf · doi:10.1088/0305-4470/33/49/304
published as J.Phys.A33:9065-9094,2000 · 26 pages, LaTeX2e, uses amsfonts.sty. V2: typos corrected, and equation numbering changed to agree with published version
openalex publication_date 2000/11/29 · arxiv created 2001/11/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We find the spectrum of boundary bound states for the sine-Gordon model with Dirichlet boundary conditions, closing the bootstrap and providing a complete description of all the poles in the boundary reflection factors. The boundary Coleman-Thun mechanism plays an important role in the analysis. Two basic lemmas are introduced which should hold for any (1+1)-dimensional boundary field theory, allowing the general method to be applied to other models.