Langevin equation with scale-dependent noise

A new wavelet based technique for the perturbative solution of the Langevin equation is proposed. It is shown that for the random force acting in a limited band of scales the proposed method directly leads to a finite result with no renormalization required. The one-loop contribution to the Kardar-Parisi-Zhang equation Green function for the interface growth is calculated as an example.

Source: arXiv:0401164v1 - http://arxiv.org/abs/cond-mat/0401164v1 PDF: https://arxiv.org/pdf/cond-mat/0401164v1 Original Link: http://arxiv.org/abs/cond-mat/0401164v1