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Applied Mathematics & Information Sciences Letters
An International Journal


Volumes > Vol. 4 > No. 1


The Effect of Logarithmic Mesonic Potential on the Magnetic Catalysis in the Chiral Quark-Sigma Model.

PP: 5-9
M. Abu-Shady,
The chiral symmetry breaking in the presence of external magnetic field is studied in the framework of logarithmic quarksigma model. The effective logarithmic mesonic potential is employed and is numerically solved in the mean-field approximation. We find that the chiral symmetry breaking enhances in comparison with the original sigma model. Two sets of parameterization are investigated in the present model. We find that decreasing coupling constant g enhances the chiral symmetry breaking while increasing sigma mass ms enhances the chiral symmetry breaking. A comparison with the Numbu-Jona-Lasinio model and the Schwinger-Dyson equation is discussed. We conclude that the logarithmic sigma model enhances the magnetic catalysis in comparison with the original sigma model and are qualitative agreement with other models.

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