  The most recent lattice results on the QCD phase diagram in the presence of a
strong magnetic field strongly disagree with results from previous lattice
simulations and several model calculations. The most remarkable difference is
the qualitative behavior of the critical temperature as a function of the
magnetic field intensity, which in later results are shown to decrease in
opposition to what was found previously. According to the authors, such a
discrepancy in lattice simulations could be due to different lattice spacing,
or different number of flavors and quark masses. We investigate the influence
of quark masses on the Polyakov- Quark-Meson model and show that, although
quantitatively the results are sensitive to those parameters, the qualitative
behavior remains the same.
