  We give a prescription how to include a chemical potential \mu into a general
lattice action. This inclusion does not cause any lattice artifacts. Hence its
application to an improved - or even perfect - action at \mu =0 yields an
improved resp. perfect action at arbitrary \mu. For short-ranged improved
actions, a good scaling behavior holds over a wide region, and the upper bound
for the baryon density - which is known for the standard lattice actions - can
be exceeded.
