Low energy Quantum Gravity from the Effective Average Action

TL;DR

This paper investigates the low energy quantum gravity effective action using the effective average action approach, analyzing non-local form factors and their impact on quantum corrections to gravity.

Contribution

It introduces a method to derive the low energy effective action in quantum gravity via the flow of non-local form factors within the effective average action framework.

Findings

Derived the low energy effective action consistent with effective field theory.

Analyzed quantum corrections to the Newtonian potential.

Discussed physical implications of scale-dependent effective action.

Abstract

Within the effective average action approach to quantum gravity, we recover the low energy effective action as derived in the effective field theory framework, by studying the flow of possibly non-local form factors that appear in the curvature expansion of the effective average action. We restrict to the one-loop flow where progress can be made with the aid of the non-local heat kernel expansion. We discuss the possible physical implications of the scale dependent low energy effective action through the analysis of the quantum corrections to the Newtonian potential.