  We investigate the low temperature behavior of a heavy particle (mass $M$) in
a fermionic bath. An effective action is considered which exactly implements
the orthogonality catastrophe. It is equivalent to a model of local bosons
coupling via a long-range interaction to the particle. The saddlepoint solution
for the heavy particle propagator yields a finite quasiparticle weight in two
and higher dimensions. In one dimension the propagator decays algebraically for
long times. The saddle point approximation is valid for large $M$.
