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Comparative study of mass extraction schemes and π±−ρ± mixing

Ziyue Wang

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Phys. Rev. D 114, 074036 – Published 13 October, 2026

DOI: https://doi.org/10.1103/62jw-g457

Abstract

We study the origin of the nonmonotonic magnetic field dependence of the lowest charged pion excitation observed in lattice QCD. In a magnetic field, the charged pion mixes with the longitudinally polarized charged rho meson, which shares the same quantum numbers. Within the SU(2)f Nambu–Jona-Lasinio model supplemented by a gauge invariant tree-level π−ρ mixing operator constrained by the experimental ρ±→π±γ decay width, we compare four mass extraction schemes: rest mass reconstruction, local bosonization, direct determinant solving with Landau projection, and near-pole expansion. The rest mass scheme cannot reproduce the lattice type turnover, while in the local derivative expansion scheme the turnover presence but is weak which occurs at large magnetic field. By contrast, the direct determinant and near-pole schemes both retain a robust nonmonotonic lowest mode. The former is most faithful to the Landau level kinematics of the charged excitation, while the latter most clearly shows that residue suppression enhances the effective mixing after canonical normalization. Our results indicate that the lattice behavior is a genuine quasiparticle mixing effect, but one whose robustness depends crucially on how the charged meson pole structure is extracted in a magnetic field.

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Phys. Rev. D 114, 074036– Published 13 October, 2026
  • Received 15 June 2026
  • Accepted 18 September 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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