An exact renormalization group analysis of 3D well developed turbulence

We take advantage of peculiar properties of three dimensional incompressible turbulence to introduce a nonstandard Exact Renormalization Group method. A Galilean invariance preserving regularizing procedure is utilized and a field truncation is adopted to test the method. Results are encouraging: the energy spectrum E(k) in the inertial range scales with exponent −1.666 ± 0.001 and the Kolmogorov constant CK, computed for several (realistic) shapes of the stirring force correlator, agrees with experimental data.