  We present the first very-long-baseline interferometry (VLBI) detections of
Zeeman splitting in another galaxy. We used Arecibo Observatory, the Green Bank
Telescope, and the Very Long Baseline Array to perform dual-polarization
observations of OH maser lines in the merging galaxy Arp 220. We measured
magnetic fields of $\sim$1-5 mG associated with three roughly parsec-sized
clouds in the nuclear regions of Arp 220. Our measured magnetic fields have
comparable strengths and the same direction as features at the same velocity
identified in previous Zeeman observations with Arecibo alone. The agreement
between single dish and VLBI results provides critical validation of previous
Zeeman splitting observations of OH megamasers that used a single large dish.
The measured magnetic field strengths indicate that magnetic energy densities
are comparable to gravitational energy in OH maser clouds. We also compare our
total intensity results to previously published VLBI observations of OH
megamasers in Arp 220. We find evidence for changes in both structure and
amplitude of the OH maser lines that are most easily explained by variability
intrinsic to the masing region, rather than variability produced by
interstellar scintillation. Our results demonstrate the potential for using
high-sensitivity VLBI to study magnetic fields on small spatial scales in
extragalactic systems.
