Renormalization group in the statistical theory of turbulence: Two-loop approximation

The field theoretic renormalization group is applied to the stochastic Navier–Stokes equation that describes fully developed fluid turbulence. The complete two-loop calculation of the renormalization constant, the beta function and the fixed point is performed. The ultraviolet correction exponent, the Kolmogorov constant and the inertial-range skewness factor are derived to second order of the ε expansion. Submitted to Acta Physica Slovaca .