Metric Redefinition and UV Divergences in Quantum Einstein Gravity

TL;DR

This paper proposes that local metric redefinitions can eliminate UV divergences in quantum Einstein gravity in four dimensions, suggesting a new approach to renormalization through field redefinitions and cosmological constant adjustments.

Contribution

It introduces a method to reduce UV divergences in quantum gravity via local metric redefinitions and cosmological constant renormalization.

Findings

UV divergences can be removed by metric redefinition

Field redefinitions can simplify quantum gravity calculations

Renormalization of the cosmological constant is key

Abstract

I formulate several statements demonstrating that the local metric redefinition can be used to reduce the UV divergences present in the quantum action for the Einstein gravity in $d=4$ dimensions. In its most general form, the proposal is that any UV divergences in the quantum action can be removed by an appropriate field re-definition and a renormalization of cosmological constant.