  In heavy-ion collisions, an interesting question of phenomenological
relevance is how the chiral imbalance generated at early times persists through
a fluctuating background of sphalerons in addition to other "non-anomalous"
interactions with the QGP. To address this question, we construct a
relativistic chiral kinetic theory using the world-line formulation of quantum
field theory. We outline how Berry's phase arises in this framework, and how
its effects can be clearly distinguished from those arising from the chiral
anomaly. We further outline how this framework can be matched to classical
statistical simulations at early times and to anomalous chiral hydrodynamics at
late times.
