NLIE of Dirichlet sine-Gordon model for boundary bound states

Changrim Ahn, Zoltán Bajnok, László Palla, Francesco Ravanini

Research output: Contribution to journalArticlepeer-review


We investigate boundary bound states of sine-Gordon model on the finite-size strip with Dirichlet boundary conditions. For the purpose we derive the nonlinear integral equation (NLIE) for the boundary excited states from the Bethe ansatz equation of the inhomogeneous XXZ spin 1/2 chain with boundary imaginary roots discovered by Saleur and Skorik. Taking a large volume (IR) limit we calculate boundary energies, boundary reflection factors and boundary Lüscher corrections and compare with the excited boundary states of the Dirichlet sine-Gordon model first considered by Dorey and Mattsson. We also consider the short distance limit and relate the IR scattering data with that of the UV conformal field theory.

Original languageEnglish
Pages (from-to)379-402
Number of pages24
JournalNuclear Physics, Section B
Issue number3
StatePublished - 21 Aug 2008


  • Boundary sine-Gordon theory
  • NLIE
  • XXZ spin chain


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