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.
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.
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In the NJL model with exact phase-space diagonalization, magnetic catalysis of the chiral condensate quenches the tachyonic instability of the spin-aligned rho+ by driving the 2M threshold above the Zeeman-lowered mass, preventing condensation.
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.
citing papers explorer
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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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Mass spectra of charged mesons and the quenching of vector meson condensation via exact phase-space diagonalization
In the NJL model with exact phase-space diagonalization, magnetic catalysis of the chiral condensate quenches the tachyonic instability of the spin-aligned rho+ by driving the 2M threshold above the Zeeman-lowered mass, preventing condensation.
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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.