Reduction of (pseudo-)Critical Temperatures of Chiral Restoration and Deconfinement Phase Transitions in a Magnetized PNJL Model

We investigate the chiral restoration and deconfinement phase transitions under external magnetic field in frame of a Pauli-Villars regularized PNJL model. A running Polyakov loop scale parameter $T_0(eB)$ is introduced to mimic the reaction of the gluon sector to the presence of magnetic fields. It is found that a decreasing $T_0(eB)$ with magnetic fields can realize the inverse magnetic catalysis phenomena of chiral condensates of $u$ and $d$ quarks, increase of Polyakov loop and the reduction of (pseudo-)critical temperatures of chiral restoration and deconfinement phase transitions.