Thermodynamic Bethe Ansatz for boundary sine-Gordon model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1016/j.nuclphysb.2003.08.038

(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.

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