Modified gravity from the nonperturbative quantization of a metric

TL;DR

This paper explores how nonperturbative quantum effects in the metric can lead to modifications of classical gravity, providing a theoretical framework for quantum corrections to gravitational dynamics.

Contribution

It introduces a method to derive modified gravity theories from the nonperturbative quantization of the metric, based on specific assumptions about quantum fluctuations.

Findings

Quantum corrections induce modifications to classical gravity.

The approach yields a consistent framework for quantum gravity effects.

Results suggest potential deviations from General Relativity at certain scales.

Abstract

Based on certain assumptions for the expectation value of a product of the quantum fluctuating metric at two points, the gravitational and scalar field Lagrangians are evaluated. Assuming a vanishing expectation value of the first order terms of the metric, the calculations are performed with an accuracy of second order. It is shown that such quantum corrections give rise to modified gravity.