  We discuss two related aspects of the lattice version of the heavy quark
effective theory (HQET). They are the effects of heavy quark modes with large
momenta, near the boundary of the Brillouin zone, and the renormalization of
the lattice HQET. We argue that even though large momentum modes are present,
their contributions to heavy-light bound states and perturbative loop integrals
are dynamically suppressed and vanish in the continuum limit. We also discuss a
new feature of the renormalization of the lattice HQET not present in the
continuum theory, namely that the classical velocity is finitely renormalized.
