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

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.

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