Scaling limit for a class of gradient fields with nonconvex potentials

Marek Biskup, Herbert Spohn

We consider gradient fields $({\varphi }_x:x\in {\mathbb{Z}}^d)$ whose law takes the Gibbs--Boltzmann form $Z^{-1}\exp \{-{\sum }_{<x,y>}V({\varphi }_y-{\varphi }_x)\}$, where the sum runs over nearest neighbors.…