CORRECTIONS TO FULLY-DEVELOPED TURBULENT SPECTRA DUE TO COMPRESSIBILITY OF THE FLUID

We construct the regular expansion at small compressibilities for the theory of fully developed turbulence of an isotropic homogeneous compr essible fluid with MSR-type action. The parameter of the expansion is the Mach number Ma. For the inertial range of a compressible fluid, we study the infrared singularities determined by the transverse fields, which are used in the theory of incompressible fluids. These singular ities are connected with the composite operators of transverse fields that are investigated by the quantum field renormalization group metho d. As a result, it is shown that the transverse fields induce scaling behavior with the Ma scaling dimension equal to 1/3 (i.e., Mak(-1/3) i s the dimensionless scaling parameter of the correlation functions in the inertial range).