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19 April 2024
 
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Quantum origin of the early inflationary Universe
A.O. Barvinsky ; A.Yu. Kamenshchik ; I.V. Mishakov ;
Date 2 Dec 1996
Journal Nucl.Phys. B491 (1997) 387-426
Subject gr-qc
AbstractWe give a detailed presentation of a recently proposed mechanism of generating the energy scale of inflation by loop effects in quantum cosmology. We discuss the quantum origin of the early inflationary Universe from the no-boundary and tunneling quantum states and present a universal effective action algorithm for the distribution function of chaotic inflationary cosmologies in both of these states. The energy scale of inflation is calculated by finding a sharp probability peak in this distribution function for a tunneling model driven by the inflaton field with large negative constant $xi$ of non-minimal interaction. The sub-Planckian parameters of this peak (the mean value of the corresponding Hubble constant $Hsimeq 10^{-5}m_P$, its quantum width $Delta H/Hsimeq 10^{-5}$ and the number of inflationary e-foldings $Ngeq 60$) are found to be in good correspondence with the observational status of inflation theory, provided the coupling constants of the theory are constrained by a condition which is likely to be enforced by the (quasi) supersymmetric nature of the sub-Planckian particle physics model.
Source arXiv, gr-qc/9612004
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