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.
Charged vector mesons in a strong magnetic field
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abstract
We show that charged vector mesons cannot be condensed by a magnetic field. Although some hadron models predict the charged vector meson condensation in a strong magnetic field, we prove, by means of the Vafa-Witten theorem, that this is not the case in QCD. We also perform the numerical analysis for the meson mass and condensation in lattice QCD. The lattice QCD data confirm no charged vector meson condensation in a magnetic field.
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UNVERDICTED 6representative citing papers
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.
In the NJL model, increasing isospin chemical potential favors pion superfluidity at small magnetic fields and rho superconductivity at large magnetic fields.
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.
Neutral mesons conserve continuous transverse momenta in magnetic fields while charged mesons exhibit quantized transverse dynamics, with high-spin charged mesons stabilized by cancellation of internal zero-point energy against orbital Zeeman energy.
Review of MFIR and MSS schemes showing the superconducting gap stays finite at high chemical potential in magnetized cold quark matter with no zero-temperature transition to normal phase.
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QCD phase transition at finite isospin density and magnetic field
In the NJL model, increasing isospin chemical potential favors pion superfluidity at small magnetic fields and rho superconductivity at large magnetic fields.