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.
Ex- tracting Nucleon Magnetic Moments and Electric Polariz- abilities from Lattice QCD in Background Electric Fields
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abstract
Nucleon properties are investigated in background electric fields. As the magnetic moments of baryons affect their relativistic propagation in constant electric fields, electric polarizabilities cannot be determined without knowledge of magnetic moments. This is analogous to the experimental situation, for which determination of polarizabilities from the Compton amplitude requires subtraction of Born terms. With the background field method, we devise combinations of nucleon correlation functions in constant electric fields that isolate magnetic moments and electric polarizabilities. Using an ensemble of anisotropic gauge configurations with dynamical clover fermions, we demonstrate how both observables can be determined from lattice QCD simulations in background electric fields. We obtain results for the neutron and proton, however, our study is currently limited to electrically neutral sea quarks. The value we extract for the nucleon isovector magnetic moment is comparable to those obtained from measuring lattice three-point functions at similar pion masses.
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Lattice QCD on quenched 24^3 x 48 lattices yields charged kaon electric polarizability α_E = (0.988 ± 0.534) × 10^{-4} fm³ and charge radius squared 0.3303 ± 0.0028 fm² after physical pion-mass extrapolation.
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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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Charged kaon electric polarizability from four-point functions in lattice QCD
Lattice QCD on quenched 24^3 x 48 lattices yields charged kaon electric polarizability α_E = (0.988 ± 0.534) × 10^{-4} fm³ and charge radius squared 0.3303 ± 0.0028 fm² after physical pion-mass extrapolation.