Quantum field renormalization group results of the theory of developed turbulence are reviewed. Background information about quantum field renormalization theory, including operator expansion and the renormalization of composite operators is given. As an example problem, the stochastic model of isotropic homogeneous turbulence is considered for which, using the renormalization technique, the existence of infrared scaling with Kolmogorov dimensions is proved. The dimension of composite operators and the infrared asymptotic behavior of various correlation functions are discussed, and numerical amplitude factors of scaling laws are calculated.

Original languageEnglish
Pages (from-to)1193-1219
Number of pages27
JournalPhysics-Uspekhi
Volume39
Issue number12
DOIs
StatePublished - Dec 1996

    Scopus subject areas

  • Physics and Astronomy(all)

ID: 86534095