Non-perturbative renormalization group for the Kardar-Parisi-Zhang equation

Understand

We present a simple approximation of the non-perturbative renormalization group designed for the Kardar-Parisi-Zhang equation and show that it yields the correct phase diagram, including the strong-coupling phase with reasonable scaling exponent values in physical dimensions.

• We find indications of a possible qualitative change of behavior around $d=4$.
• We discuss how our approach can be systematically improved.