An improved $\eps$ expansion for three-dimensional turbulence: summation of nearest dimensional singularities

Abstract

An improved $\eps$ expansion in the $d$-dimensional ($d>2$) stochastic theory of turbulence is constructed by taking into account pole singularities at $d\to 2$ in coefficients of the $\eps$ expansion of universal quantities. Effectiveness of the method is illustrated by a two-loop calculation of the Kolmogorov constant in three dimensions.

4 pages