Renormalization group in the infinite-dimensional turbulence: determination of the RG-functions without renormalization constants
https://doi.org/10.17586/2220-8054-2015-6-4-461-469
Abstract
We calculate renormalization-group functions in the developed turbulence model for infinite dimensional space d → ∞ using an operating method without renormalization constants. The renormalization fixed point and index ω, 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.
Supporting agencies: The work of LTsA, TLK and MVK was supported by Saint-Petersburg State University (project 11.38.185.2014). VKS acknowledges the support by the Austrian Science Fund FWF Grants Nr. I 1452-N27 and Nr. P21970-N16.
About the Authors
L. Ts. Adzhemyan
St. Petersburg State University
Russian Federation
Russian Federation
Department of Theoretical Physics
Uljanovskaja 1, St. Petersburg, Petrodvorez, 198504
T. L. Kim
St. Petersburg State University
Russian Federation
Russian Federation
Department of Theoretical Physics
Uljanovskaja 1, St. Petersburg, Petrodvorez, 198504
M. V. Kompaniets
St. Petersburg State University
Russian Federation
Russian Federation
Department of Theoretical Physics
Uljanovskaja 1, St. Petersburg, Petrodvorez, 198504
V. K. Sazonov
St. Petersburg State University; University of Graz
Russian Federation
Russian Federation
Department of Theoretical Physics; Institute of Physics, Department of Theoretical Physics
Uljanovskaja 1, St. Petersburg, Petrodvorez, 198504
Universit¨atsplatz 5, A-8010 Graz
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Review
For citations:
Adzhemyan L.Ts., Kim T.L., Kompaniets M.V., Sazonov V.K. Renormalization group in the infinite-dimensional turbulence: determination of the RG-functions without renormalization constants. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(4):461-469. https://doi.org/10.17586/2220-8054-2015-6-4-461-469
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