Inflation with non-minimal coupling: Metric vs. Palatini formulations
278 citations recorded by the source corpus.
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.
View Paper: https://www.semanticscholar.org/paper/a52522dc7231c03f461a35b6d5c7dfcbbb3e4d4b
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Citations in the corpus
- The landscape of QCD axion models (2020, methodology): “It has recently been shown [289] that a model of inflation with the SM Higgs field, in which the Higgs field is coupled non-minimally to Palatini gravity [667] leads to an inflation energy scale HI ∼ 10(8) GeV and a low tensor-toscalar ratio r ∼ 10−13.”
- Higgs inflation with loop corrections in the Palatini formulation (2017, background): “The running at the inflationary scale is thus small, and the normalisation condition gives λ∗/ξ = 10 −10, as found in [91].”