1996/12/02 by A.O. Barvinsky, A. O. Barvinsky, A. Yu. Kamenshchik +3
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Eternal inflation #Hubble's law #Inflation (cosmology) #Inflaton #Quantum #Quantum cosmology #Quantum field theory #Quantum fluctuation #Quantum tunnelling #Universe #gr-qc
paper · pdf · doi:10.1016/s0550-3213(97)00118-1
published as Nucl.Phys.B491:387-426,1997 · 43 pages, LaTeX, figures not included
arxiv created 1996/12/02 · openalex publication_date 1997/04/01 · arxiv updated 2011/08/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We 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 ξ of non-minimal interaction. The sub-Planckian parameters of this peak (the mean value of the corresponding Hubble constant H≃ 10-5mP, its quantum width ΔH/H≃ 10-5 and the number of inflationary e-foldings N≥ 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.