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.
Magnetic susceptibility of a strongly interacting thermal medium with 2+1 quark flavors
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abstract
Thermodynamics of the three-flavor quark-meson model with axial anomaly is studied in the presence of external magnetic fields. The nonperturbative functional renormalization group is employed in order to incorporate quantum and thermal fluctuations beyond the mean-field approximation. We calculate the magnetic susceptibility with proper renormalization and find that the system is diamagnetic in the hadron phase and paramagnetic in the hot plasma phase. The obtained values of the magnetic susceptibility are in reasonable agreement with the data from first-principle lattice QCD. Comparison with the mean-field approximation, the Hadron Resonance Gas model and a free gas with temperature-dependent masses is also made.
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A quark-meson model with lattice-fitted temperature-dependent quark masses and anomalous magnetic moments reproduces the magnetic susceptibility of hot hadronic matter up to the QCD crossover, showing quarks are active below 120 MeV.
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.
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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.