  In this article, we study the time-dependent Aharonov-Bohm effect for
non-Abelian gauge fields. We use two well known time-dependent solutions to the
Yang-Mills field equations to investigate the Aharonov-Bohm phase shift. For
both of the solutions, we find a cancellation between the phase shift coming
from the non-Abelian "magnetic" field and the phase shift coming from the
non-Abelian "electric" field, which inevitably arises in time-dependent cases.
We compare and contrast this cancellation for the time-dependent non-Abelian
case to a similar cancellation which occurs in the time-dependent Abelian case.
We postulate that this cancellation occurs generally in time-dependent
situations for both Abelian and non-Abelian fields.
