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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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26 pages, important clarifications in sect. 5.1

Scientific paper

10.1016/j.nuclphysb.2008.01.021

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.

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