The spontaneous generation of magnetic fields at high temperature in SU(2)-gluodynamics on a lattice

The spontaneous generation of the chromomagnetic field at high temperature is investigated in a lattice formulation of the SU(2)-gluodynamics. The procedure of studying this phenomenon is developed. The Monte Carlo simulations of the free energy on the lattices 2 \times 8^3, 2\times 16^3 and 4 \times 8^3 at various temperatures are carried out. The creation of the field is indicated by means of the \chi^2-analysis of the data set accumulating 5-10 millions MC configurations. A comparison with the results of other approaches is done.