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Gell-Mann - Oakes - Renner relation in a magnetic field at finite temperature
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abstract
In the first order of chiral perturbation theory the corrections to $F_{\pi^0}$ and $M_{\pi^0}$ in a magnetic field at finite temperature have been found. It was shown that they are shifted in such a manner that Gell-Mann - Oakes - Renner relation remains valid under these conditions.
Forward citations
Cited by 4 Pith papers
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Imaginary magnetic fields induce exceptional points in neutral meson mass spectra computed via hadronic effective Lagrangian and constituent quark models, separating real and complex eigenvalue regimes.
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In a proton-loop hadronic model, a weak magnetic field suppresses π0→γγ at O(|eB|²/m_P⁴), with a small anisotropy strongest for pion momenta perpendicular to the field.
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Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field
In the linear sigma model with quarks, the neutral pion mass first falls and then rises as the external magnetic field grows, a nonmonotonic curve that the earlier weak-field calculation did not show.
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Chiral Properties of $(2\!+\!1)$-Flavor QCD in Magnetic Fields at Zero Temperature
Continuum-extrapolated lattice simulations show monotonic magnetic catalysis in chiral condensates, non-monotonic charged-meson mass response, and valence-quark dominance at zero temperature up to eB ≈ 1.2 GeV².
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