English

Background independence and field redefinitions in quantum gravity

High Energy Physics - Theory 2023-01-25 v2 General Relativity and Quantum Cosmology

Abstract

It is generally believed that a full-fledged theory of quantum gravity should exhibit background independence and diffeomorphism 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.

Keywords

Cite

@article{arxiv.2210.04368,
  title  = {Background independence and field redefinitions in quantum gravity},
  author = {Roberto Casadio and Alexander Kamenshchik and Iberê Kuntz},
  journal= {arXiv preprint arXiv:2210.04368},
  year   = {2023}
}

Comments

matches version accepted for publication

R2 v1 2026-06-28T03:06:38.106Z