  The phase diagram of two-color QCD with non-zero chiral chemical potential is
studied by means of lattice simulation. We focus on the influence of a chiral
chemical potential on the confinement/deconfinement phase transition and the
breaking/restoration of chiral symmetry. The simulation is carried out with
dynamical staggered fermions without rooting. The dependences of the Polyakov
loop, the chiral condensate and the corresponding susceptibilities on the
chiral chemical potential and the temperature are presented. The critical
temperature is observed to increase with increasing chiral chemical potential.
