# Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near $d=4$

@article{Antonov2017StochasticNE, title={Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near \$d=4\$}, author={Nikolay V. Antonov and Nikolay M. Gulitskiy and Maria M. Kostenko and Tom'avs Luvcivjansk'y}, journal={arXiv: Statistical Mechanics}, year={2017} }

The renormalization group approach and the operator product expansion technique are applied to the model of a tracer field advected by the Navier-Stokes velocity ensemble for a compressible fluid. The model is considered in the vicinity of the specific space dimension $d=4$. The properties of the equal-time structure functions are investigated. The multifractal behaviour of various correlation functions is established. All calculations are performed in the leading one-loop approximation.

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