Spontaneous breaking of diffeomorphism invariance in conformally reduced quantum gravity
General Relativity and Quantum Cosmology
2024-10-14 v1
Abstract
We study the spontaneous breaking of diffeomorphism invariance using the proper-time non-perturbative flow equation in quantum gravity. In particular, we analyze the structure of the UV critical manifold of conformally reduced Einstein-Hilbert theory and observe the occurrence of a non-trivial minimum for the conformal factor at Planckian energies. We argue that our result can be interpreted as the occurrence of a dynamically generated minimal length in quantum gravity.
Keywords
Cite
@article{arxiv.2410.08916,
title = {Spontaneous breaking of diffeomorphism invariance in conformally reduced quantum gravity},
author = {G. Giacometti and A. Bonanno and S. Plumari and D. Zappalà},
journal= {arXiv preprint arXiv:2410.08916},
year = {2024}
}