  We are investigating the inviscid limit of the Navier-Stokes equation, and we
find previously unknown anomalous terms in Hamiltonian, Dissipation, and
Helicity, which survive this limit and define the turbulent statistics.
  We find various topologically nontrivial configurations of the confined
Clebsch field responsible for vortex sheets and lines. In particular, a stable
vortex sheet family is discovered, but its anomalous dissipation vanishes as
$\sqrt{\nu}$.
  Topologically stable stationary singular flows, which we call Kelvinons, are
introduced. They have a conserved velocity circulation $\Gamma_\alpha$ around
the loop $C$ and another one $\Gamma_\beta$ for an infinitesimal closed loop
$\tilde C$ encircling $C$, leading to a finite helicity. The anomalous
dissipation has a finite limit, which we computed analytically.
  The Kelvinon is responsible for asymptotic PDF tails of velocity circulation,
\textbf{perfectly matching numerical simulations}.
  The loop equation for circulation PDF as functional of the loop shape is
derived and studied. This equation is \textbf{exactly} equivalent to the
Schr\"odinger equation in loop space, with viscosity $\nu$ playing the role of
Planck's constant.
  Kelvinons are fixed points of the loop equation at WKB limit $\nu \rightarrow
0$. The anomalous Hamiltonian for the Kelvinons contains a large parameter
$\log \frac{|\Gamma_\beta|}{\nu}$. The leading powers of this parameter can be
summed up, leading to familiar asymptotic freedom, like in QCD. In particular,
the so-called multifractal scaling laws are, as in QCD, modified by the powers
of the logarithm.
