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We investigate chiral symmetry breaking and strong CP violation effects onthe phase diagram of strongly interacting matter in presence of a constantmagnetic field. The effect of magnetic field and strong CP violating term onthe phase structure at finite temperature and density is studied within a threeflavor Nambu-Jona-Lasinio (NJL) model including the Kobayashi-Maskawa-t'Hooft(KMT) determinant term. This is investigated using an explicit variationalansatz for ground state with quark anti-quark pairs leading to condensates bothin scalar and pseudoscalar channels. Magnetic field enhances the condensate inboth the channels. Inverse magnetic catalysis for CP transition at finitechemical potential is seen for zero temperature and for small magnetic fields.

CP violation and chiral symmetry breaking in hot and dense quark matter in presence of magnetic field