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

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 ne...

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Bibliographic Details
Published in:Physical review. D 2018-12, Vol.98 (11), p.1, Article 114008
Main Authors: Ayala, Alejandro, Farias, Ricardo L. S., Hernández-Ortiz, S., Hernández, L. A., Paret, D. Manreza, Zamora, R.
Format: Article
Language:English
Subjects:
Charged particles
Dependence
Field strength
Magnetic fields
Mathematical models
Protons
Quarks
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Summary: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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.98.114008