  We study the evolution of the angular momentum of the heavy quarks in the
very early stage of high energy nuclear collisions, in which the background is
made of evolving Glasma fields. Given the novelty of the problem, we limit
ourselves to the use of toy heavy quarks with a large, unphysical mass, in
order to implement the kinetic equations for the angular momentum in the
non-relativistic limit. We find that as a consequence of the anisotropy of the
background fields, angular momentum fluctuations are also anisotropic: we
understand this in simple terms relating the fluctuations of the angular
momentum, $L$, to those of linear momentum. While orbital angular momentum
diffuses and develops substantial fluctuations and anisotropies, the spin does
not. Hence, we can identify the fluctuations of $L$ with those of the total
angular momentum $J=L + S$. Therefore, our study suggests that the total
angular momentum of the heavy quarks in the early stage of high energy nuclear
collisions will present anisotropic fluctuations.
