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arxiv: 2406.00818 · v1 · pith:VII5QCL6new · submitted 2024-06-02 · ✦ hep-ph · hep-lat

Chiral Symmetry Breaking and Pion Decay in a Magnetic Field

classification ✦ hep-ph hep-lat
keywords magneticchiralfieldpionbreakingcomputedecayelements
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The pattern of chiral symmetry breaking is exploited to compute vector and axial-vector pion matrix elements in a uniform magnetic field. Our results are model independent, and thereby constitute low-energy theorems that must be obeyed by QCD in external magnetic fields. Chiral perturbation theory and lattice QCD results are compared, for which there is some tension. As an application, the matrix elements are utilized to compute pion decay rates in a 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.

  1. Meson Octet in a Uniform Magnetic Field

    hep-ph 2026-05 unverdicted novelty 6.0

    Next-to-leading order chiral perturbation theory yields renormalized magnetic masses and decay constants for the meson octet, with neutral pion mass decreasing, neutral kaon mass unchanged, charged meson masses modifi...

  2. Pion Weak Decay in a Magnetic Field

    hep-ph 2026-04 unverdicted novelty 6.0

    Chiral perturbation theory predicts pion decay widths in magnetic fields that match lattice QCD at large field strengths but differ at weak fields primarily due to variations in the pion decay constant.

  3. Chiral Properties of $(2\!+\!1)$-Flavor QCD in Magnetic Fields at Zero Temperature

    hep-lat 2026-01 unverdicted novelty 5.0

    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.