A probabilistic approach of ultraviolet renormalization in the boundary Sine-Gordon model

The Sine-Gordon model is obtained by tilting the law of a log-correlated Gaussian field X defined on a subset of ℝ^d by the exponential of its cosine, namely exp (αcos (β X)) . It has gathered significant attention due to its importance in quantum field theory and to its connection with the study of log-gases in statistical mechanics. In spite of its relatively simple definition, the model has a very rich phenomenology. While the integral cos (β X) can be defined properly when β ^2更多