Speaker
Description
QCD phase structure under magnetic field is a hot issue. On the hardonic side, Skyrme model with gauged Wess-Zumino Witten term is one of the simple low energy effective theory featuring chiral anomaly. Within such framework we investigate how an external magnetic field deforms the Skyrmion while preserving the homotopy. The Skyrme crystal constituted by multiple such magnetized Skyrmions provides us insights of the ground state of nuclear matter in strong magnetic field. We manifest the previously found \pi^0 domain wall structure can arise as one special class of solution to the Skyrme crystal. Another class of solution revealed by us feature both charged and neutral pions represents the inhomogenous baryonic phase. We establish the thermodynamics and phase diagram of these two classes of hardronic structure, which uncovers the underlying topological transmutation between $\pi^3(SU(2))$ and $\pi^1(U(1))$.
