Stabilizing the gravitational action and Coleman's solution to the cosmological constant problem

Details Stabilizing the gravitational action and Coleman's solution to the cosmological constant problem Stabilizing the gravitational action and Coleman's solution to the cosmological constant problem

1992-01-22

arxiv.org/abs/hep-th/9201042v1

Phys.Lett. B276 (1992) 36-40

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

10.1016/0370-2693(92)90538-F

We use the 5-th time action formalism introduced by Halpern and Greensite to stabilize the unbounded Euclidean 4-D gravity in two simple minisuperspace models. In particular, we show that, at the semiclassical level ($\hbar \rightarrow 0$), we still have as a leading saddle point the $S^4$ solution and the Coleman peak at zero cosmological constant, for a fixed De Witt supermetric. At the quantum (one-loop) level the scalar gravitational modes give a positive semi-definite Hessian contribution to the 5-D partition function, thus removing the Polchinski phase ambiguity.

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