  We consider the effects of the quantum stress tensor fluctuations of a
conformal field in generating gravity waves in inflationary models. We find a
non-scale invariant, non-Gaussian contribution which depends upon the total
expansion factor between an initial time and the end of inflation. This
spectrum of gravity wave perturbations is an illustration of a negative power
spectrum, which is possible in quantum field theory. We discuss possible
choices for the initial conditions. If the initial time is taken to be
sufficiently early, the fluctuating gravity waves are potentially observable
both in the CMB radiation and in gravity wave detectors, and could offer a
probe of transplanckian physics. The fact that they have not yet been observed
might be used to constrain the duration and energy scale of inflation.
