Running Coupling in the SU(2) Lattice Gauge Theory
  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. 
O. Borisenko, M. Gorenstein and A. Kostyuk