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Towards the determination of the dimension of the critical surface in asymptotically safe gravity

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arxiv 2004.04126 v3 pith:RX5H3L56 submitted 2020-04-08 hep-th gr-qc

Kevin Falls , Nobuyoshi Ohta , Roberto Percacci This is my paper
classification hep-thgr-qc
keywords gravitycriticaldimensionfixedfreenontrivialsurfaceaddition
verification ladder T0 review T1 audit T2 compute T3 formal
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We compute the beta functions of Higher Derivative Gravity within the Functional Renormalization Group approach, going beyond previously studied approximations. We find that the presence of a nontrivial Newtonian coupling induces, in addition to the free fixed point of the one-loop approximation, also two nontrivial fixed points, of which one has the right signs to be free from tachyons. Our results are consistent with earlier suggestions that the dimension of the critical surface for pure gravity is three.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantum gravity and spectral running cutoff

    hep-th 2026-06 conditional novelty 6.0 of 10

    Spectral hard and smooth cutoffs on the covariant Laplacian yield Einstein-Hilbert RG flows with a non-Gaussian UV-attractive fixed point, supporting asymptotic safety.

  2. Scaling solutions for gauge invariant flow equations in dilaton quantum gravity

    hep-th 2025-12 conditional novelty 6.0 of 10

    Scaling solutions of a gauge-invariant functional flow equation support the dilaton quantum gravity fixed point, with Planck mass ~ φ² at large field and a stable negative kinetial in the infrared.

  3. Impact of quantum gravity on the UV sensitivity of extremal black holes

    hep-th 2025-09 reject novelty 6.0 of 10

    Asymptotically safe quantum gravity predicts a positive Goroff-Sagnotti Wilson coefficient at the Planck scale, which would keep extremal Kerr black hole tidal forces finite, but the paper's bound on the quantum gravi...

  4. Matter Spectral Functions from Quantum Gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    Under asymptotically safe quantum gravity, photon and scalar propagators acquire Källén-Lehmann spectral functions that are non-normalizable and change sign in the ultraviolet.

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