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Sinh-Gordon boundary TBA and boundary Liouville reflection amplitude |
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| Authors: | Z Bajnok Chaiho Rim Al Zamolodchikov |
| Institution: | 1. HAS Theoretical Physics Research Group, H-1117 Budapest Pázmány s. 1/A, Hungary;2. Department of Physics and Research Institute of Physics and Chemistry, Chonbuk National University, Jeonju 561-756, South Korea;3. Laboratoire de Physique Théorique et Astroparticules, UMR-5207 CNRS-UM2, Université Montpellier II, Pl.E. Bataillon, 34095 Montpellier, France;4. Service de Physique Théorique, CNRS – URA 2306, C.E.A. Saclay, F-91191 Gif-sur-Yvette, France |
| Abstract: | The ground state energy of the sinh-Gordon model defined on the strip is studied using the boundary thermodynamic Bethe ansatz equation. Its ultraviolet (small width of the strip) behavior is compared with the one obtained from the boundary Liouville reflection amplitude. The results are in perfect agreement in the allowable range of the parameters and provide convincing support for both approaches. We also describe how the ultraviolet limit of the effective central charge can exceed one in the parameter range when the Liouville zero mode forms a bound state. |
| Keywords: | 02 60 Nm 11 10 Kk 11 55 Ds |
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