等离子体中有质量光子的色散关系：评《利用超宽带脉冲星计时数据和快速射电暴的消色散脉冲限制光子质量》
The Dispersion Relation of Massive Photons in Plasma: A Comment on "Bounding the Photon Mass with Ultrawide Bandwidth Pulsar Timing Data and Dedispersed Pulses of Fast Radio Bursts"
AI总结：
针对Wang等提出的等离子体中有质量光子$ν^{-4}$修正色散关系，本文基于Proca方程重新检验其推导，证明经典$ν^{-2}$色散关系仍然有效。
摘要：
快速射电暴的色散测量已被认为是检验光子零质量假设的有力工具。经典方法将有质量光子诱导的时间延迟与等离子体诱导的时间延迟视为两种独立现象。最近，Wang等人（2024）提出应考虑非零光子质量与等离子体效应的共同影响，并给出了有质量光子在等离子体介质中传播时的修正时间延迟，记为$Δt'_{m_γ} \propto ν^{-4}$，这不同于经典色散关系（$\propto ν^{-2}$）。本文讨论了Wang等人（2024）给出的推导，并基于Proca方程证明经典色散关系仍然成立。
英文摘要：
The dispersion measures of fast radio bursts have been identified as a powerful tool for testing the zero-mass hypothesis of the photon. The classical approach treats the massive photon-induced and plasma-induced time delays as two separate phenomena. Recently, Wang et al. (2024) suggested that the joint influence of the nonzero photon mass and plasma effects should be considered, and proposed a revised time delay for massive photons propagating in a plasma medium, denoted as $Δt'_{m_γ} \propto ν^{-4}$, which departures from the classical dispersion relation ($\propto ν^{-2}$). Here we discuss the derivation presented by Wang et al. (2024) and show that the classical dispersion relation remains valid based on Proca equations.
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