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Neutral meson properties under an external magnetic field in nonlocal chiral quark models

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arxiv 1710.08950 v1 pith:3H4XSGKP submitted 2017-10-24 hep-ph

D. Gomez Dumm , M.F. Izzo Villafañe , N.N. Scoccola This is my paper · ORCID
classification hep-ph
keywords fieldmagneticmesonchiralexternalmodelsbehaviorneutral
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abstract

We study the behavior of neutral meson properties in the presence of a static uniform external magnetic field in the context of nonlocal chiral quark models. The formalism is worked out introducing Ritus transforms of Dirac fields, which allow to obtain closed analytical expressions for $\pi^0$ and $\sigma$ meson masses and for the $\pi^0$ decay constant. Numerical results for these observables are quoted for various parameterizations. In particular, the behavior of the $\pi^0$ meson mass with the magnetic field is found to be in good agreement with lattice QCD results. It is also seen that the Goldberger-Treiman and Gell-Mann-Oakes-Renner chiral relations remain valid within these models in the presence of the external magnetic field.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Hadronic exceptional points

    hep-ph 2026-06 unverdicted novelty 7.0 of 10

    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.

  2. Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field

    hep-ph 2019-08 conditional novelty 6.0 of 10

    In the linear sigma model with quarks, the neutral pion mass first falls and then rises as the external magnetic field grows, a nonmonotonic curve that the earlier weak-field calculation did not show.

  3. Strongly interacting matter in extreme magnetic fields

    nucl-th 2024-12 conditional novelty 2.0 of 10

    A state-of-the-art review of magnetic field effects in QCD and QED matter, covering meson properties, anomalous transport, effective models, the QCD phase diagram, and neutron stars.

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