On Corpuscular Theory of Inflation

TL;DR

This paper presents a corpuscular model of inflation where the classical background is described as a condensate of inflatons and gravitons, providing a quantum perspective on density perturbations and the limits of semiclassical inflation.

Contribution

It introduces a corpuscular framework for inflation, identifying quantum constituents of the background and deriving bounds on inflation duration based on quantum depletion.

Findings

Density perturbations arise from inflaton position uncertainty.

Graviton scattering influences density perturbations in eternal inflation.

Quantum depletion sets an upper limit on the number of e-folds.

Abstract

In order to go beyond the mean-field approximation, commonly used in the inflationary computations, an identification of the quantum constituents of the inflationary background is made. In particular, the homogeneous scalar field configuration is represented as a Bose-Einstein condensate of the off-shell inflaton degrees of freedom, with mass significantly screened by the gravitational binding energy. The gravitational counterpart of the classical background is considered to be a degenerate state of the off-shell longitudinal gravitons with the frequency of the order of the Hubble scale. As a result, the origin of the density perturbations in the slow-roll regime is identified as an uncertainty in the position of the constituent inflatons. While in the regime of eternal inflation, the scattering of the constituent gravitons becomes the relevant source of the density perturbations. The gravitational waves, on the other hand, originate from the annihilation of the constituent longitudinal gravitons at all energy scales. This results in the quantum depletion of the classical background. Leading to the upper bound on the number of e-folds, after which the semiclassical description is expected to break down, which is estimated to be of the order of the entropy of the initial Hubble patch.