Anomalous Casimir effect in axion electrodynamics

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I accomplished two studies on the topological phases of low-energy dense QCD.The first was a magnetized Skyrmion system describing the hadron properties altered by an external magnetic field. Our results hint at the enhancement of the baryonic confinement induced by the magnetic field, in an original approach.The second was a further investigation of a competing mesonic phase (against baryonic phase) under a strong magnetic field, namely the chiral soliton lattice. We innovatively encompass the eta meson into the chiral perturbation theory which was usually in terms of only pions. We found the ground state given such a U(2) field is a mixed soliton lattice or quasicrystal with nontrivial windings of both neutral pion and eta, which could be the first incarnation of a quasicrystal in QCD.