  Scenario according to which the SU(2)-gluodynamics is a theory with a
nontrivial fixed point is analyzed from the point of view of the modern
Monte-Carlo (MC) lattice data. It is found that an assumption of the first
order fixed point g=g_f of the beta function has no contradictions with
existing MC lattice data. The beta function parameters are found from the
requirement of constant values for critical temperature and string tension in
MC lattice calculations at 4/g^2 >= 2.30.
