2d Sinh-Gordon Model on the Infinite Cylinder
Abstract
Abstract For $$R>0$$ R > 0 , we give a rigorous probabilistic construction on the cylinder $$\mathbb {R}\times (\mathbb {R}/ (2\pi R \mathbb {Z}))$$ R × ( R / ( 2 π R Z ) ) of the (massless) Sinh-Gordon model. In particular we define the n -point correlation functions of the model and show that these exhibit a scaling relation with respect to R . The construction, which relies on the massless Gaussian Free Field, is based on the spectral analysis of a quantum operator associated to the model. Using the theory of Gaussian multiplicative chaos, we prove that this operator has discrete spectrum and a strictly positive ground state.
Fields of Study & Subjects
Theoretical and Computational Physics
Stochastic processes and statistical mechanics
Statistical Mechanics and Entropy
Publication details
- Journal / source
- Communications in Mathematical Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 407
- Issue
- 5
- Publication date
- 4 April 2026
- Language
- EN