Fluctuations for the Ginzburg-Landau $\nabla \varphi$ Interface Model on a Bounded Domain

Jason Miller

We study the massless field on $D_n=D\cap \frac{1}{n}{\mathbb{Z}}^2$, where $D\subseteq {\mathbb{R}}^2$ is a bounded domain with smooth boundary, with Hamiltonian $\CH(h) = \sum_{x \sim y} \CV(h…