Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop

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). We investigate effects of various gluonic potentials on the deconfinement transition with and without a fermionic backreaction at finite B. Additionally we investigate the effect of the Polyakov loop on the chiral phase transition, finding that magnetic catalysis at low mu(B) is present, but weakened by the Polyakov loop.