Influence of Hydrodynamic Fluctuations on the Phase Transition in Models   E and F of Critical Dynamics
  We use the renormalization group method to study model E of critical dynamics in the presence of velocity fluctuations arising in accordance with the stochastic Navier-Stokes equation. Using Martin-Siggia-Rose theorem, we obtain a field- theoretical model that allows a perturbative renormalization group analysis. By direct power counting and an analysis of ultraviolet divergences, we show that the model is multiplicatively renormalizable, and we use a two-parameter expansion in $\varepsilon$ and $\delta$ to calculate renormalization constants. Here, $\varepsilon$ is a deviation from the critical dimension four, and $\delta$ is a deviation from the Kolmogorov regime. We present the results of the one-loop approximation and part of the fixed-point structure. We briefly discuss the possible effect of velocity fluctuations on the large-scale behavior of the model. 
M. Dan\v{c}o, M. Hnatich, M. V. Komarova, D. M. Krasnov, T.   Lu\v{c}ivjansk\'y, L. Mi\v{z}i\v{s}in, M. Yu. Nalimov
cond-mat.stat-mech