The chiral transition in a magnetic background: Finite density effects and the functional renormalization group

We compute the phase diagram of the quark-meson model at finite temperature, finite baryon chemical potential $μ_B=3μ$ and constant external magnetic field $B$, using the functional renormalization group. Our results show that the critical temperature increases as a function of $B$ at $μ=0$, but for values $μ$ larger than about 210-225 MeV, the opposite behavior is realized. As the magnetic field increases, the critical point $(T^*,μ^*)$ moves from large $μ$, small $T$ towards small $μ$, larger $T$ in the $μ$--$T$ phase diagram.

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