Functional renormalization group study of neutral and charged pion under magnetic fields in the quark-meson model

Abstract

We calculated the masses of neutral and charged pion and pion decay constants under an extra magnetic field at zero temperature. The quantum fluctuations are integrated through the functional renormalization group. We consider the quark and meson propagators in the Landau level representation and weak-field expansion, respectively. The neutral pion mass monotonically decreases with the magnetic field, while the charged pion mass monotonically increases with the magnetic field. The pion decay constant and the quark mass show the magnetic catalysis behavior at vanishing temperature. The neutral pion mass and pion decay constant are quantitatively in agreement with the lattice QCD results in the region of $eB<1.2{\mathrm{GeV}}^2$, and no non-monotonic mass behavior for charged pion has been observed in this framework.

10 pages, 5 figures

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Cited by in corpus (6)

• Magnetic catalysis and diamagnetism from pion fluctuations
• Gravity generated by four one-dimensional unitary gauge symmetries and the Standard Model
• Masses of magnetized pseudoscalar and vector mesons in an extended NJL model: the role of axial vector mesons
• Spectral function for pions in magnetic field
• Chiral Properties of $(2+1)$-Flavor QCD in Magnetic Fields at Zero Temperature
• Perturbative versus Non-Perturbative Renormalization