  Anomalous scaling problem in the stochastic Navier-Stokes equation is treated
in the framework of the field theoretical approach, successfully applied
earlier to the Kraichnan rapid advection model. Two cases of the space
dimensions d=2 and d->infinity, which allow essential simplification of the
calculations, are analysed. The presence of infinite set of the Galilean
invariant composite operators with negative critical dimensions in the model
discussed has been proved. It allows, as well as for the Kraichnan model, to
justify the anomalous scaling of the structure functions. The explicit
expression for the junior operator of this set, related to the square of energy
dissipation operator, has been found in the first order of the
epsilon-expansion. Its critical dimension is strongly negative in the two
dimensional case and vanishes while d->infinity.
