Quantum origin of the early inflationary Universe

TL;DR

This paper explores a quantum cosmology mechanism for generating the inflationary energy scale, linking quantum states and effective action algorithms to observationally consistent inflation parameters.

Contribution

It introduces a universal effective action algorithm for inflationary distribution functions from quantum states, connecting quantum effects to inflationary energy scales.

Findings

Quantum origin of inflation is linked to no-boundary and tunneling states.

Calculated inflation parameters match observational data under certain particle physics constraints.

Proposed mechanism explains the inflation energy scale via loop effects in quantum cosmology.

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 $\xi$ of non-minimal interaction. The sub-Planckian parameters of this peak (the mean value of the corresponding Hubble constant $H\simeq 10^{-5}m_P$, its quantum width $\Delta H/H\simeq 10^{-5}$ and the number of inflationary e-foldings $N\geq 60$) 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.