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We use the Polyakov loop coupled quark-meson model to approximate low energy QCD and present results for the chiral and deconfinement transitions in the presence of a constant magnetic background $B$ at finite temperature $T$ and baryon chemical potential $\mu_B$.
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V. Skokov, Phase diagram in an external magnetic field beyond a mean-field approximation
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I. A. Shovkovy, Magnetic Catalysis: A Review , Lect. Notes Phys. 871
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