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"

Abstract

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 $\Delta t_{m_{\gamma }}^{\prime }\propto {\nu }^{-4}$, which departures from the classical dispersion relation ($\propto {\nu }^{-2}$). Here we discuss the derivation presented by Wang et al. (2024) and show that the classical dispersion relation remains valid based on Proca equations.

arXiv comment3 pages, 1 figure. Comment on arXiv:2403.06422. Accepted for publication in Research Notes of the AAS

References in corpus (8)

• Photon Mass Limits from Fast Radio Bursts
• Constraints on the Photon Mass with Fast Radio Bursts
• FRB 121102 Casts New Light on the Photon Mass
• A Bayesian Framework to Constrain the Photon Mass with a Catalog of Fast Radio Bursts
• Limits on the Weak Equivalence Principle and Photon Mass with FRB 121102 Sub-pulses
• Revised constraints on the photon mass from well-localized fast radio bursts
• Combined Limit on the Photon Mass with Nine Localized Fast Radio Bursts
• Bounding the Photon Mass with Ultrawide Bandwidth Pulsar Timing Data and Dedispersed Pulses of Fast Radio Bursts