  We derive the relativistic Vlasov equation from quantum Hartree dynamics for
fermions with relativistic dispersion in the mean-field scaling, which is
naturally linked with an effective semiclassic limit. Similar results in the
non-relativistic setting have been recently obtained in [6]. The new challenge
that we have to face here, in the relativistic setting, consists in controlling
the difference between the quantum kinetic energy and the relativistic
transport term appearing in the Vlasov equation.
