Renormalization group analysis of a turbulent compressible fluid near $d   = 4$ : Crossover between local and non-local scaling regimes
  We study scaling properties of the model of fully developed turbulence for a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic renormalization group (RG). The scaling properties in this approach are related to fixed points of the RG equation. Here we study a possible existence of other scaling regimes and an opportunity of a crossover between them. This may take place in some other space dimensions, particularly at $d = 4$. A new regime may there arise and then by continuity moves into $d = 3$. Our calculations have shown that there really exists an additional fixed point, that may govern scaling behaviour. 
N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko, T. Lu\v{c}ivjansk\'y
cond-mat.stat-mech