Kolmogorov exponents for near-incompressible turbulence from perturbative quantum field theory

I derive the Kolmogorov exponents for the energy spectrum of freely-decaying, fully-developed, near-incompressible turbulence, using the methods of perturbative quantum field theory. In contrast to the approach involving Gaussian random forces, the leading-order result is determined uniquely through selfconsistency. At the first order in , I find a unique and nontrivial, IR (infrared) stable fixed-line. I show that the upper critical dimension of this system is 6, and E(k)k^–2 in 3 dimensions and E(k)k^–3 in 2 dimensions along this nontrivial fixed-line (at the one-loop level).