Will quantum cosmology resurrect chaotic inflation model?

TL;DR

This paper explores whether quantum cosmology can revive the chaotic inflation model by analyzing the Wheeler-DeWitt equation and quantum corrections, contrasting it with the viable Starobinsky model based on recent CMB data.

Contribution

It revisits the quantum cosmology of chaotic inflation using the Wheeler-DeWitt equation and quantum corrections, proposing a potential quantum revival of the model.

Findings

Quantum cosmology with fluctuations can produce semiclassical trajectories.

Quantum corrections may make chaotic inflation compatible with observations.

The approach offers a new perspective on inflation models' viability.

Abstract

The single field chaotic inflation model with a monomial power greater than one seems to be ruled out by the recent Planck and WMAP CMB data while Starobinsky model with a higher curvature term seems to be a viable model. Higher curvature terms being originated from quantum fluctuations, we revisit the quantum cosmology of the Wheeler-DeWitt equation for the chaotic inflation model. The semiclassical cosmology emerges from quantum cosmology with fluctuations of spacetimes and matter when the wave function is peaked around the semiclassical trajectory with quantum corrections a la the de Broglie-Bohm pilot theory.