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Spontaneous breaking of diffeomorphism invariance in conformally reduced quantum gravity

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arxiv 2410.08916 v1 pith:Q7REHVMQ submitted 2024-10-11 gr-qc

G. Giacometti , A. Bonanno , S. Plumari , D. Zappalà This is my paper · ORCID
classification gr-qc
keywords gravityquantumbreakingconformallydiffeomorphisminvarianceoccurrencereduced
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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.

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