Geodesic
A general vector field coupled to a strongly compressible turbulent flow
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 28, Tome 509 (2021), pp. 5-24

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We consider the model of a transverse vector (e.g. magnetic) field with the most general form of the nonlinearity, known as the $\mathcal{A}$ model, passively advected by a strongly compressible turbulent flow, governed by the randomly stirred Navier-Stokes equation. The full stochastic problem is equivalent to a certain renormalizable field theoretic model with an infrared- attractive fixed point. Thus, the scaling behaviour for the large-scale, long-distance behaviour is established. However, the question whether the parameter $\mathcal{A}$ tends to a certain fixed-point value of the renormalization group equations or remains arbitrary, cannot be answered within the one-loop approximation of our study. 
@article{ZNSL_2021_509_a0,
     author = {N. V. Antonov and M. M. Tumakova},
     title = {A general vector field coupled to a strongly compressible turbulent flow},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--24},
     publisher = {mathdoc},
     volume = {509},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_509_a0/}
}
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N. V. Antonov; M. M. Tumakova. A general vector field coupled to a strongly compressible turbulent flow. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 28, Tome 509 (2021), pp. 5-24. http://geodesic.mathdoc.fr/item/ZNSL_2021_509_a0/