  We study the empirical realization of the memory effect in Yang-Mills theory
with an axion-like particle, especially in view of the classical vs. quantum
nature of the theory. We solve for the coupled equations of motion iteratively
in the axionic contributions and explicitly display the gauge invariant effects
in terms of field strengths. We apply our results in the context of heavy ion
collisions, in the thin nuclear sheet limit, and point out that a probe
particle traversing radiation train acquires a longitudinal null memory kick in
addition to the usual transverse kick.
