Phase diagram of hot magnetized two-flavor color-superconducting quark matter

A two-flavor color-superconducting Nambu-Jona-Lasinio model is introduced at finite temperature T, chemical potential mu, and in the presence of a constant magnetic field (e) over tildeB. The effect of (T, mu, (e) over tildeB) on the formation of chiral- and color-symmetry-breaking condensates is studied. The complete phase portrait of the model in T - mu, mu - (e) over tildeB, and T - (e) over tildeB phase spaces for various fixed (e) over tildeB, T, and mu is explored. A threshold magnetic field (e) over tildeB(t) similar or equal to 0.5 GeV2 is found, above which the dynamics of the system are solely dominated by the lowest Landau level, and the effects of T and mu are partly compensated by (e) over tildeB.