Study of the phase diagram of SU(2) quantum chromodynamics with nonzero chirality

The Monte Carlo simulation of $SU(2)$ quantum chromodynamics (QCD) with a nonzero chiral chemical potential has been reported. The dependence of the Polyakov line and chiral condensate on the coupling constant and chiral chemical potential has been studied. It has been shown that the critical temperature of the confinement-deconfinement phase transition increases with the chirality of a medium. This behavior contradicts the results obtained previously within various effective QCD models.