Inhomogeneous phases at finite density in an external magnetic field

Abstract

The two-flavor quark-meson model is used as a low-energy effective model for QCD to study inhomogeneous chiral condensates at finite quark chemical potential μ in a constant magnetic background B. We determine the parameters of the model by matching the meson and quark masses, and the pion decay constant to their physical values using the on-shell and modified minimal subtraction schemes. We calculate the free energy in the mean-field approximation for a chiral density wave using dimensional regularization. The system has a surprisingly rich phase structure.

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