BREAKING OF DESITTER INVARIANCE IN QUANTUM COSMOLOGICAL GRAVITY

The effects of de Sitter transformations on linearized quantum gravity in a de Sitter space background are worked out explicitly. It is show n that the linearized solutions are closed under the transformations o f the de Sitter group. To do this it is necessary to use a compensatin g gauge transformation to return the transformed solution to the origi nal gauge. It is then shown that the form of the graviton propagator i n this background, as found by Tsamis and Woodard, is not de Sitter in variant, and no suitable invariant propagator exists, even when gauge transformations which compensate for the noninvariant gauge choice are introduced. This leads us to conclude that the vacuum is not invarian t.