Background independence and field redefinitions in quantum gravity

It is generally believed that a full-fledged theory of quantum gravity should exhibit background independence and diffeomor-phism invariance. In its most general form, the latter comprises field redefinitions, which are diffeomorphisms in configuration space. We show that any path-integral approach to quantum gravity leads to a tension between these properties, such that they cannot hold simultaneously.(c) 2022 Elsevier Inc. All rights reserved.

Automated summary

This passage points out that a full-fledged theory of quantum gravity should possess background independence and diffeomorphism invariance. However, any path-integral approach to quantum gravity leads to a tension between these properties, making it impossible to satisfy them simultaneously.