The 1+1 dimensional Kardar-Parisi-Zhang equation: more surprises

Understand

In its original version the KPZ equation models the dynamics of an interface bordering a stable phase against a metastable one.

• Over past years the corresponding two-dimensional field theory has been applied to models with different physics.
• Out of a wide choice, the spin-spin time correlations for the Heisenberg chain will be discussed at some length, also the equilibrium time-correlations of the conserved fields for 1D fluids.
• An interesting recent theoretical advance is the construction of the scale-invariant asymptotic theory, the so-called KPZ fixed point.