Sinh-Gordon Boundary TBA and Boundary Liouville Reflection Amplitude

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.

29 pages with 8 eps figures, typos corrected and references added

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• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Solving topological defects via fusion
• One-point functions in massive integrable QFT with boundaries
• Truncated Hilbert space approach to the 2d ${\varphi }^4$ theory
• Exceptional Operators in N=4 super Yang-Mills
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• Functional Equations and Separation of Variables for Exact g-Function
• Reformulating the TBA equations for the quark anti-quark potential and their two loop expansion
• NLIE of Dirichlet sine-Gordon Model for Boundary Bound States
• Traveling wave solutions for wave equations with two exponential nonlinearities
• Boundary Quantum Field Theories Perturbed by $\mathrm{T}\bar{\mathrm{T}}$: Towards a Form Factor Program
• On mini-superspace limit of boundary three-point function in Liouville field theory