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New type of hill-top inflation: CFT driven cosmology | A.O. Barvinsky
; A.Yu. Kamenshchik
; | Date: |
24 Sep 2015 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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