Magnetic Catalysis in the Higher-Order Quark Sigma Model

Abstract

The effect of the higher-order mesonic interactions in the presence of an external magnetic field is investigated within the framework of the chiral symmetry breaking mechanism. The effect of higher-order mesonic potential is employed and numerically solved in the mean-field approximation. The chiral symmetry breaking increases with ascending magnetic field. Two sets of free parameterization are investigated on the magnetic catalysis. A comparison is discussed with the other studies and Lattice QCD. The obtained results are included that the higher-order quark sigma model gives good description for the magnetic catalysis.

The Effect of Strange Quark on the Chiral Symmetry Breaking in Magnetic Background in the framework of logarithmic quark-sigma model

“…The linear sigma model with two flavors has also applied to determine the critical point temperature in the presence of external magnetic field [19,20]. The effect of the higher-order mesonic interactions on the chiral symmetry breaking is investigated in the presence of an external magnetic field [21].…”