Journal of Particle Physics

Download PDF (763.5 KB) PP. 58 - 64 Pub. Date: July 19, 2017

DOI: 10.22606/jpp.2017.11005

• M. Abu-Shady^*
  Department of Applied Mathematics, Faculty of Science, Menoufia University, Egypt

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.

Chiral lagrangian density, magnetic catalysis, chiral symmetry breaking.

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