On Regularization Scheme Dependence of Predictions in Inflationary Cosmology

Details On Regularization Scheme Dependence of Predictions in Inflationary Cosmology On Regularization Scheme Dependence of Predictions in Inflationary Cosmology

1995-11-22

arxiv.org/abs/gr-qc/9511058v1

Phys.Rev.D53:4267-4274,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, RevTex

Scientific paper

10.1103/PhysRevD.53.4267

We show that there exists a large class of regularization schemes for probabilistic predictions in the theory of a self-reproducing inflationary univere, all of which eliminate the apparent dependence on the time reparametrization. However, all these schemes lead to different answers for relative probabilities of finding various types of post-inflationary universes. Besides, all these schemes fail to be reparametrization invariant beyond the range of the inflaton field close to end of inflation boundary. Therefore, we argue that at the current level of understanding, the simple regularization schemes associated with cutoffs at equal time hypersurfaces are as good as the recently proposed more complicated procedures which try to fix the time-reparametrization dependence.

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