Boundary spectrum in the sine-Gordon model with Dirichlet boundary conditions

Aug, 2000
26 pages
Published in:
  • J.Phys.A 33 (2000) 9065-9094
e-Print:
Report number:
  • DTP-00-65

Citations per year

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Abstract:
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.
Note:
  • 26 pages, LaTeX2e, uses amsfonts.sty. V2: typos corrected, and equation numbering changed to agree with published version Report-no: DTP-00/65 Journal-ref: J.Phys. A33 (2000) 9065-9094
  • sine-Gordon model
  • bound state: spectrum
  • boundary condition
  • bootstrap
  • scattering amplitude: analytic properties
  • soliton