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Quark condensate in a magnetic field
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abstract
We study the dependence of quark condensate $\Sigma$ on an external magnetic field. For weak fields, it rises linearly with the field. Pion mass and residue are also shifted so that the Gell-Mann - Oakes - Renner relation is satisfied. In the strong field region, $\Sigma(H) \propto (eH)^{3/2}$.
Forward citations
Cited by 4 Pith papers
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Hadronic exceptional points
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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Photon emission from weakly magnetized neutral pions
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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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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Anisotropic quark propagation and Zeeman effect in an external magnetic field
A Dyson-Schwinger calculation shows that in a magnetic field, quarks acquire distinct transverse and longitudinal effective masses, with the transverse mass always larger, and a mass splitting that grows roughly as th...
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