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Functional renormalization group study of neutral and charged pion under magnetic fields in the quark-meson model
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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 $eB < 1.2 {\rm GeV}^2$, and no non-monotonic mass behavior for charged pion has been observed in this framework.
Forward citations
Cited by 3 Pith papers
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Functional renormalization group study of anomalous magnetic moment in a low energy effective theory
In a magnetized two-flavor effective theory, quark anomalous magnetic moments are dynamically generated with chiral symmetry breaking, with the down quark moment roughly four times the up quark.
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The $(2+1)$-dimensional Gross-Neveu-Yukawa model at finite temperature, density, and magnetic field within the Functional Renormalization Group
In the 2+1-dimensional Gross-Neveu-Yukawa model, magnetic fields cause oscillations and first-order transitions in the chiral phase boundary at high density and shift the tricritical point upward in temperature.
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