Geodesic
Renormalization group in the infinite-dimensional turbulence: determination of the RG-functions without renormalization constants
Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 4, pp. 461-469.

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We calculate renormalization-group functions in the developed turbulence model for infinite dimensional space $d\to\infty$ using an operating method without renormalization constants. The renormalization fixed point and index $\omega$, obtained within the considered three loop approximation, are in agreement with previous calculations. The results demonstrate the efficiency of the method and the possibility of its complete automation, which is crucially important in higher order perturbation theory computations.
Keywords: renormalization group (RG).
Mots-clés : turbulence 
@article{NANO_2015_6_4_a0,
     author = {L. Ts. Adzhemyan and T. L. Kim and M. V. Kompaniets and V. K. Sazonov},
     title = {Renormalization group in the infinite-dimensional turbulence: determination of the {RG-functions} without renormalization constants},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {461--469},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2015_6_4_a0/}
}
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L. Ts. Adzhemyan; T. L. Kim; M. V. Kompaniets; V. K. Sazonov. Renormalization group in the infinite-dimensional turbulence: determination of the RG-functions without renormalization constants. Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 4, pp. 461-469. http://geodesic.mathdoc.fr/item/NANO_2015_6_4_a0/