NLIE of Dirichlet sine-Gordon Model for Boundary Bound States

Details NLIE of Dirichlet sine-Gordon Model for Boundary Bound States NLIE of Dirichlet sine-Gordon Model for Boundary Bound States

2007-11-26

arxiv.org/abs/0711.4101v1

Nucl.Phys.B799:379-402,2008

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 21 pages with 10 eps figures

Scientific paper

10.1016/j.nuclphysb.2008.01.020

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 Luscher 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.

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