Generalized Scale Invariant Gravity

Details Generalized Scale Invariant Gravity Generalized Scale Invariant Gravity

1997-08-20

arxiv.org/abs/hep-th/9708101v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, REVTeX, no figure

Scientific paper

We generalize the scale invariant gravity by allowing a negative kinetic energy term for the classical scalar field. This gives birth to a new scalar-tensor theory of gravity, in which the scalar field is in fact an auxiliary field. For a pure gravity theory without matter, the scale symmetric phase represents an equivalent class of gravity theories, which the Einstein gravity plus a cosmological constant belongs to under a special gauge choice. The one-loop quantum correction of the theory is calculated by using the Vilkovisky-DeWitt's method. We find that the scale symmetry is broken dynamically, and that the Einstein gravity is the ground state of the broken phase. We also briefly discuss the consequent cosmological implications. It is shown that the time-delay experiment restricts the present universe to be very close to the ground state.

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