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arxiv: 1809.08312 · v1 · pith:FCQBP453new · submitted 2018-09-21 · ✦ hep-ph · hep-th· nucl-th

Magnetic field-dependence of the neutral pion mass in the linear sigma model coupled to quarks: The weak field case

Alejandro Ayala , Ricardo L. S. Farias , S. Hernandez-Ortiz , Luis A. Hernandez , D. Manreza Paret , R. Zamora This is my paper
classification ✦ hep-ph hep-thnucl-th
keywords fieldmagneticmassneutralpioncalculationcoupledlinear
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We compute the neutral pion mass dependence on a magnetic field in the weak field approximation at one-loop order. The calculation is carried out within the linear sigma model coupled to quarks and using Schwinger's proper-time representation for the charged particle propagators. We find that the neutral pion mass decreases with the field strength provided the boson self-coupling magnetic field corrections are also included. The calculation should be regarded as the setting of the trend for the neutral pion mass as the magnetic field is turned on.

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