On the infrared asymptotics of the velocity-velocity correlator in the theory of the turbulence

The stochastic theory of the developed turbulence is considered with the random force correlator of the form $k(k^2+m^2)^{-\varepsilon}$, $m$ being the inverse large turbulent scale. The first Kolmogorov hypothesis (i.e., finiteness of the equal time correlator of velocities at $\varepsilon<2$) is justified using the Wilson's operator product expansion.