Quark matter under strong magnetic fields

Simulations have shown that very strong magnetic fields ∼ 10¹⁵⁻¹⁸ Gauss may be produced in the highly relativistic heavy ion collision experiments being performed at the RHIC at Brookhaven and LHC at CERN. Fields of similar magnitude are expected to be present in the core of astrophysical objects such as magnetars and could have also existed during the electroweak phase transition in the early universe. Interestingly, the magnitude of this background field is of the same order as the scale of QCD causing an interplay of strong and electromagnetic interactions and leading to exotic phenomena involving the QCD vacuum such as magnetic catalysis of chiral symmetry breaking and its inverse, chiral magnetic effect etc. We find that at sufficiently high temperature the AMM as well as the constituent mass of the quarks asymptotically go to zero