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.
Meson Spectrum in Strong Magnetic Fields
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abstract
We study the relativistic quark-antiquark system embedded in magnetic field. The Hamiltonian containing confinement, one gluon exchange and spin-spin interaction is derived. We analytically follow the evolution of the lowest meson states as a functions of MF strength. Calculating the one gluon exchange interaction energy <V_OGE> and spin-spin contribution <a_SS> we have observed, that these corrections remain finite at large magnetic fields, preventing the vanishing of the total rho-meson mass at some B_crit, as previously thought. We display the rho masses as functions of magnetic field in comparison with recent lattice data.
fields
hep-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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.
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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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Complete one-loop self-energies of the linear sigma model coupled to quarks at finite temperature and in a magnetic field
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.