pion-rho Mixing as a mechanism for non-monotonic charged pion behavior in magnetic fields
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arXiv
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| Natura: | Preprint |
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2026
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| _version_ | 1866913082137116672 |
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| author | Wang, Ziyue |
| author_facet | Wang, Ziyue |
| contents | We investigate whether magnetic field induced $π-ρ$ mixing can explain the non-monotonic behavior of the charged pion reported in lattice QCD. Using a near-pole effective action derived from the SU(2)$_f$ Nambu--Jona-Lasinio model, we show that the lowest Landau level charged pion mixes with the longitudinally polarized charged rho meson, which shares the same quantum numbers in a magnetic background. The resulting level repulsion is strongly amplified by the suppression of the rho wave-function renormalization near the pole. As a consequence, the lowest mixed mode develops a turnover as the magnetic field increases, reproducing the qualitative trend seen on the lattice. Comparison with the direct determinant solution of the Landau-projected kernel shows that the mechanism is robust, although the quantitative location of the maximum remains scheme dependent. These results support $π-ρ$ mixing as an important candidate mechanism for charged meson spectra in strong magnetic fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15410 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | pion-rho Mixing as a mechanism for non-monotonic charged pion behavior in magnetic fields Wang, Ziyue High Energy Physics - Phenomenology Nuclear Theory We investigate whether magnetic field induced $π-ρ$ mixing can explain the non-monotonic behavior of the charged pion reported in lattice QCD. Using a near-pole effective action derived from the SU(2)$_f$ Nambu--Jona-Lasinio model, we show that the lowest Landau level charged pion mixes with the longitudinally polarized charged rho meson, which shares the same quantum numbers in a magnetic background. The resulting level repulsion is strongly amplified by the suppression of the rho wave-function renormalization near the pole. As a consequence, the lowest mixed mode develops a turnover as the magnetic field increases, reproducing the qualitative trend seen on the lattice. Comparison with the direct determinant solution of the Landau-projected kernel shows that the mechanism is robust, although the quantitative location of the maximum remains scheme dependent. These results support $π-ρ$ mixing as an important candidate mechanism for charged meson spectra in strong magnetic fields. |
| title | pion-rho Mixing as a mechanism for non-monotonic charged pion behavior in magnetic fields |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2602.15410 |