English

Quantum origin of the early inflationary Universe

General Relativity and Quantum Cosmology 2011-08-17 v1

Abstract

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\xi of non-minimal interaction. The sub-Planckian parameters of this peak (the mean value of the corresponding Hubble constant H105mPH\simeq 10^{-5}m_P, its quantum width ΔH/H105\Delta H/H\simeq 10^{-5} and the number of inflationary e-foldings N60N\geq 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.

Keywords

Cite

@article{arxiv.gr-qc/9612004,
  title  = {Quantum origin of the early inflationary Universe},
  author = {A. O. Barvinsky and A. Yu. Kamenshchik and I. V. Mishakov},
  journal= {arXiv preprint arXiv:gr-qc/9612004},
  year   = {2011}
}

Comments

43 pages, LaTeX, figures not included