RENORMALIZATION-GROUP APPROACH AND SHORT-DISTANCE EXPANSION IN THEORYOF DEVELOPED TURBULENCE - ASYMPTOTICS OF THE TRIPLEX EQUAL-TIME CORRELATION-FUNCTION

Asymptotics of the triples equal-time correlation function for the tur bulence developed in incompressible fluids in the region of widely sep arated wave vector values is investigated using the renormalization gr oup approach and short-distance expansion. The problem of the most ess ential composite operators contributing to these asymptotics is examin ed. For this purpose, the critical dimensions of a family of composite quadratic tensor operators in the velocity gradient are found. Consid ered in the one-loop approximation, the contribution of these operator s turns out to be less substantial (although not significantly) than t he contribution of the linear term. The derived asymptotics of the tri ples correlator coincide in form with that predicted by the EDQNM appr oximation.