Background independence and field redefinitions in quantum gravity
arXiv:2210.04368 · doi:10.1016/j.aop.2022.169203
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.
arXiv commentmatches version accepted for publication
References in corpus (11)
- Background Independent Quantum Gravity: A Status Report
- Nonperturbative Evolution Equation for Quantum Gravity
- Question of quantum equivalence between Jordan frame and Einstein frame
- Some remarks on the notions of general covariance and background independence
- Integrable cosmological models with non-minimally coupled scalar fields
- Background independence in a nutshell
- Frame (In)equivalence in Quantum Field Theory and Cosmology
- Background Independent Field Quantization with Sequences of Gravity-Coupled Approximants
- Comments on Background Independence and Gauge Redundancies
- Background Independent Field Quantization with Sequences of Gravity-Coupled Approximants II: Metric Fluctuations
- Covariant singularities in Quantum Field Theory and Quantum Gravity