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19 January 2022
 
  » arxiv » 1509.7270

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New type of hill-top inflation: CFT driven cosmology
A.O. Barvinsky ; A.Yu. Kamenshchik ;
Date 24 Sep 2015
AbstractWe suggest a new type of hill-top inflation originating from the initial conditions in the form of the microcanonical density matrix for the cosmological model driven by conformal field theory (CFT) with a large number of quantum fields. Initial conditions for inflation are set up by cosmological instantons describing underbarrier oscillations in the vicinity of the inflaton potential maximum. These periodic oscillations of the inflaton field and cosmological scale factor are obtained within the approximation of two coupled oscillators subject to the slow roll regime in Euclidean time. This regime is characterized by rapid oscillations of the scale factor on the background of a slowly varying inflaton, which justifies smallness of slow roll parameters $epsilon$ and $eta$ of inflation in real Lorentzian time. The hill-like shape of the inflaton potential is shown to be generated by logarithmic loop corrections to the tree-level asymptotically shift-invariant potential in the non-minimal Higgs inflation model and $R^2$-gravity. The problem of hierarchy between the Planckian scale and the inflation scale is briefly discussed within the concept of conformal higher spin fields.
Source arXiv, 1509.7270
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