# Differences in Faraday Rotation Between Adjacent Extragalactic Radio Sources as a Probe of Cosmic Magnetic Fields

## TL;DR

This study analyzes differences in Faraday rotation measures between adjacent extragalactic radio sources to isolate contributions from the intergalactic medium, providing new constraints on cosmic magnetic fields.

## Contribution

It is the first to unambiguously demonstrate that some RM differences are extragalactic, setting an upper limit of 40 nG on intergalactic magnetic fields.

## Key findings

- Random pairs have larger ΔRM than physical pairs.
- ΔRM difference of ~10 rad/m² is statistically significant.
- Upper limit of 40 nG on intergalactic magnetic field strength.

## Abstract

Faraday rotation measures (RMs) of extragalactic radio sources provide information on line-of-sight magnetic fields, including contributions from our Galaxy, source environments, and the intergalactic medium (IGM). Looking at differences in RMs, $\Delta$RM, between adjacent sources on the sky can help isolate these different components. In this work, we classify adjacent polarized sources in the NVSS as random or physical pairs. We recompute and correct the uncertainties in the NVSS RM catalog, since these were significantly overestimated. Our sample contains 317 physical and 5111 random pairs, all with Galactic latitudes $|b|\ge20^{\circ}$, polarization fractions $\ge2\%$, and angular separations between $1.^{'},$ and $20^{'}$. We find an rms $\Delta$RM of $14.9\pm0.4\,$rad m$^{-2}$ and $4.6\pm1.1\,$rad m$^{-2}$ for random and physical pairs, respectively. This means polarized extragalactic sources that are close on the sky, but at different redshifts, have larger differences in RM than two components of one source. This difference of $\sim10\,$rad m$^{-2}$ is significant at $5\sigma$, and persists in different data subsamples. While there have been other statistical studies of $\Delta$RM between adjacent polarized sources, this is the first unambiguous demonstration that some of this RM difference must be extragalactic, thereby providing a firm upper limit on the RM contribution of the IGM. If the $\Delta$RMs originate local to the sources, then the local magnetic field difference between random sources is a factor of two larger than between components of one source. Alternatively, attributing the difference in $\Delta$RMs to the intervening IGM yields an upper limit on the IGM magnetic field strength of $40\,$nG.