Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations

Details Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations

2008-03-18

arxiv.org/abs/0803.2664v2

Phys.Lett.B665:222-226,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, reference added

Scientific paper

10.1016/j.physletb.2008.06.014

We analyze non-minimally coupled scalar field theories in metric (second-order) and Palatini (first-order) formalisms in a comparative fashion. After contrasting them in a general setup, we specialize to inflation and find that the two formalisms differ in their predictions for various cosmological parameters. The main reason is that dependencies on the non-minimal coupling parameter are different in the two formalisms. For successful inflation, the Palatini approach prefers a much larger value for the non-minimal coupling parameter than the Metric approach. Unlike the Metric formalism, in Palatini, the inflaton stays well below the Planck scale whereby providing a natural inflationary epoch.

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