Quantum state correction of relic gravitons from quantum gravity

TL;DR

This paper discusses how quantum gravity corrections in the semiclassical approach could modify the relic graviton spectrum during inflation, with effects proportional to the square of the Hubble parameter over the Planck mass.

Contribution

It introduces a framework for quantum gravity corrections to the relic graviton spectrum within the semiclassical formalism.

Findings

Quantum gravity corrections are of order (H/mPl)^2.

The formalism predicts modifications to the Zel'dovich spectrum.

Potential implications for inflationary gravitational wave observations.

Abstract

The semiclassical approach to quantum gravity would yield the Schroedinger formalism for the wave function of metric perturbations or gravitons plus quantum gravity correcting terms in pure gravity; thus, in the inflationary scenario, we should expect correcting effects to the relic graviton (Zel'dovich) spectrum of the order (H/mPl)^2.