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arXiv · 2510.23958

Multi-peak structure of meson spectral function in magnetic field

Haoran Li·Ziyue Wang
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Abstract

We investigate the spectral functions of neutral and charged mesons in a hot dense medium under a external magnetic field using the two-flavor quark-meson model within the functional renormalization group (FRG) framework. Our results show that the spectral functions of σ and π0 mesons develop new structures due to decay channels into quarks occupying different Landau levels. By consistently incorporating the momentum relations at vertices for charged particles in a magnetic field, we further show that the π+ spectral function develops a multi-peak structure at finite temperatures, resulting from the various annihilation and decay channels available to π+ in the magnetic environment. This multi-peak structure is further enhanced in a finite-density medium, causing the π+ meson to become a broad resonance at lower temperatures and densities compared to neutral mesons. Such a multi-peak pattern is expected to be universal for charged mesons under magnetic fields and carries significant implications for understanding transport properties in magnetized strongly interacting fluids

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Haoran Li, Ziyue Wang. 2026-05-15. Multi-peak structure of meson spectral function in magnetic field. https://arxiv.org/abs/2510.23958

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