Thermodynamic Bethe Ansatz for boundary sine-Gordon model

Abstract

(R-channel) TBA is elaborated to find the effective central charge dependence on the boundary parameters for the massless boundary sine-Gordon model with the coupling constant $(8\pi )/{\beta }^2=1+\lambda$ with $\lambda$ a positive integer. Numerical analysis of the massless boundary TBA demonstrates that at an appropriate boundary parameter range (cusp point) there exists a singularity crossing phenomena and this effect should be included in TBA to have the right behavior of the effective central charge.

14 pages, Latex, 19 figures (12 figures attached seperately). Singularity crossing is reanalyzed and revised

References in corpus (4)

• The Josephson current in Luttinger liquid-superconductor junctions
• The two-boundary sine-Gordon model
• Boundary states and finite size effects in sine-Gordon model with Neumann boundary condition
• Reflection Amplitudes of Boundary Toda Theories and Thermodynamic Bethe Ansatz

Cited by in corpus (11)

• Exact solution of the open XXZ chain with general integrable boundary terms at roots of unity
• The two-boundary sine-Gordon model
• Finite size effects in the XXZ and sine-Gordon models with two boundaries
• NLIE for hole excited states in the sine-Gordon model with two boundaries
• Sinh-Gordon Boundary TBA and Boundary Liouville Reflection Amplitude
• Semiclassical Energy Levels of Sine-Gordon Model on a Strip with Dirichlet Boundary Conditions
• (Semi)classical analysis of sine-Gordon theory on a strip
• On the NLIE of (inhomogeneous) open spin-1 XXZ chain with general integrable boundary terms
• A note on the IR limit of the NLIEs of boundary supersymmetric sine-Gordon model
• NLIE and finite size effects of the spin-1/2 XXZ and sine-Gordon models with two boundaries revisited
• A note on a boundary sine-Gordon model at the free-Fermion point