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.
Neutral meson properties in hot and magnetized quark matter: a new magnetic field independent regularization scheme applied to NJL-type model
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abstract
A magnetic field independent regularization scheme (zMFIR) based on the Hurwitz-Riemann zeta function is introduced. The new technique is applied to the regularization of the mean-field thermodynamic potential and mass gap equation within the SU(2) Nambu-Jona-Lasinio model in a hot and magnetized medium. The equivalence of the new and the standard MFIR scheme is demonstrated. The neutral meson pole mass is calculated in a hot and magnetized medium and the advantages of using the new regularization scheme are shown.
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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.
Complete one-loop self-energies computed for the linear sigma model with quarks at finite temperature and magnetic field via Matsubara and Schwinger/Ritus formalisms.
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.
In the two-flavor NJL model with anomalous magnetic moment of quarks, external magnetic field produces inverse magnetic catalysis and a magnetic-field-dependent drop in the Mott temperature for the Goldstone mode.
Pion spectral functions in magnetic fields develop multi-peak structures for neutral pions from Landau levels and Landau cuts for charged pions, with decay widths narrowing at higher temperatures indicating increased stability.
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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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.