On the spectrum of the Sinh-Gordon model in finite volume

Abstract

We derive a characterization of the spectrum of the Sinh-Gordon model in terms of certain nonlinear integral equations. There exists a large class of solutions to these equations which allows a continuation between the infrared and the ultraviolet limits, respectively. We present nontrivial evidence for the claim that the class of solutions in question describes the spectrum of the Sinh-Gordon model completely in both of these limits. The evidence includes some nontrivial relations to Liouville theory.

33 pages, the new version corrects a mistake in the lattice TBA of the previous versions

References in corpus (2)

• Quantization of models with non-compact quantum group symmetry. Modular XXZ magnet and lattice sinh-Gordon model
• Faddeev-Volkov solution of the Yang-Baxter Equation and Discrete Conformal Symmetry

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