Abstract
The continuum Kardar-Parisi-Zhang equation in one dimension is lattice discretized in such a way that the drift part is divergence free. This allows to determine explicitly the stationary measures. We map the lattice KPZ equation to a bosonic field theory which has a cubic anti-hermitian nonlinearity. Thereby it is established that the stationary two-point function spreads superdiffusively.
| Original language | English |
|---|---|
| Pages (from-to) | 917-935 |
| Number of pages | 19 |
| Journal | Journal of Statistical Physics |
| Volume | 137 |
| Issue number | 5 |
| DOIs | |
| State | Published - Dec 2009 |
Keywords
- Continuum growth model
- Non-hermitian bosonic field theory