Influence of helicity on the Kolmogorov regime in fully developed turbulence

The influence of helicity on the stability of the Kolmogorov scaling regime in fully developed turbulence in space dimension d=3 based on the stochastic Navier-Stokes equation with the self-similar Gaussian random stirring force δ-correlated in time and with the correlator proportional to k^4−d−2ε is investigated by the field-theoretic renormalization-group technique within two-loop approximation. The two-loop renormalization constant, the β function, and the coordinate of the fixed point are found as functions of the helicity parameter. It is shown that the presence of helicity in the system does not destroy the stability of the Kolmogorov scaling regime.