Capillary-wave models and the effective-average-action scheme of functional renormalization group.

摘要: We reexamine the functional renormalization-group theory of wetting transitions. As a starting point analysis we apply an exact equation describing renormalization group flow generating for irreducible vertex functions. show how standard nonlinear transitions can be recovered by very simple truncation equation. The derivation makes all involved approximations transparent and demonstrates applicability approach in any spatial dimension $d\ensuremath{\geqslant}2$. Exploiting nonuniqueness cutoff scheme, find, however, that capillary parameter $\ensuremath{\omega}$ is scheme-dependent quantity below $d=3$. For $d=3$ perfectly robust against scheme variation.