Léonie Canet

A NON-PERTURBATIVE RENORMALIZATION GROUP APPROACH TO THE KPZ EQUATION

The celebrated Kardar-Parisi-Zhang equation, initially derived as a model to describe the kinetic roughening of a growing interface, has given rise to intense theoretical investigations for over two decades since it stands as a simple -yet unsolved- model for scaling phenomena and non-equilibrium phase transitions.
We present recent progress on the theoretical study of the KPZ equation based on the non-perturbative renormalisation group. This method, developped in the '90 by Wetterich and Morris, has turned out to be a powerful tool to investigate non-equilibrium critical phenomena, in particular for reaction-diffusion processes, allowing one to unveil genuine non-perturbative features of these models. It thus stands as a good candidate to study the strong coupling regime of the KPZ equation and we show that, along with embedding the known analytical results, it indeed allows us tograsp non-perturbative properties of this equation emerging above two dimensions.