  We introduce a class of UV-regularized two-body interactions for fermions in
$\mathbb{R}^d$ and prove a Lieb-Robinson estimate for the dynamics of this
class of many-body systems. As a step toward this result, we also prove a
propagation bound of Lieb-Robinson type for Schr\"odinger operators. We apply
the propagation bound to prove the existence of infinite-volume dynamics as a
strongly continuous group of automorphisms on the CAR algebra.
