  We study the influence of relativistic rotation on the
confinement/deconfinement phase transition in gluodynamics by means of lattice
simulations. The simulation is performed in the reference frame which rotates
with the system under investigation, where rotation is reduced to external
gravitational field. The Polyakov loop and its susceptibility are calculated
for various lattice parameters and values of angular velocities which are
characteristic for heavy-ion collision experiments. Different types of boundary
conditions (open, periodic, Dirichlet) are imposed in directions, orthogonal to
rotation axis. It is shown, that the critical temperature of the
confinement/deconfinement transition in gluodynamics grows quadratically with
increasing angular velocity. This conclusion does not depend on the boundary
conditions used in our study and we believe that this is universal property of
gluodynamics. We also present first results of the study of the phase diagram
of rotating QCD matter with fermions. The results indicate, that effect of the
rotation on fermions is opposite to gluons: it leads to the decrease of the
critical temperature.
