Effective constraints of loop quantum gravity

TL;DR

This paper computes loop quantum gravity corrections to effective constraints in a cosmological setting, demonstrating the classical limit is recovered and clarifying the role of different scales in the corrections.

Contribution

It provides explicit expressions for modified coefficients and higher order terms in inhomogeneous scalar metric modes within loop quantum gravity.

Findings

Loop quantum gravity corrections are explicitly calculated for scalar modes.

Results show the correct classical limit is achieved in the perturbative regime.

The role of different scales in determining correction magnitudes is clarified.

Abstract

Within a perturbative cosmological regime of loop quantum gravity corrections to effective constraints are computed. This takes into account all inhomogeneous degrees of freedom relevant for scalar metric modes around flat space and results in explicit expressions for modified coefficients and of higher order terms. It also illustrates the role of different scales determining the relative magnitude of corrections. Our results demonstrate that loop quantum gravity has the correct classical limit, at least in its sector of cosmological perturbations around flat space, in the sense of perturbative effective theory.