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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. We present here the first results of simulations with three-color QCD. The critical temperature is observed to increase with increasing chiral chemical potential for both gauge groups.

Lattice QCD with Chiral Chemical Potential: from SU(2) to SU(3)