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.
Casadio, R., Kamenshchik, A., Kuntz, I. (2023). Background independence and field redefinitions in quantum gravity. ANNALS OF PHYSICS, 449, 1-8 [10.1016/j.aop.2022.169203].
Background independence and field redefinitions in quantum gravity
Casadio, Roberto;Kamenshchik, Alexander;
2023
Abstract
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.File in questo prodotto:
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2210.04368.pdf
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