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Perturbative approaches to non-perturbative quantum gravity

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arxiv 2210.13910 v1 pith:NSVT5NXL submitted 2022-10-25 hep-th gr-qc

Riccardo Martini , Gian Paolo Vacca , Omar Zanusso This is my paper · ORCID
classification hep-thgr-qc
keywords gravityquantumepsilonexpansioninteractionsnon-perturbativeperturbativeapproach
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abstract

We discuss the birth of the non-perturbative approach to quantum gravity known as quantum Einstein gravity, in which the gravitational interactions are conjectured to be asymptotically safe. The interactions are assumed to be finite and consistent at high energies thanks to a scale-invariant ultraviolet completion. We present the framework on the basis of perturbative arguments that originally motivated it, paying special attention to the $\epsilon$-expansion in $d=2+\epsilon$ dimensions and the large-$N$ expansion for $N$ the number of flavors of matter fields. The chapter is organized in such a way that each section is mostly independent and can offer several ideas for both conceptual and technical future developments.

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Cited by 3 Pith papers

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

  1. The fermion sector of the SMEFT from asymptotically safe gravity

    hep-th 2026-07 conditional novelty 7.0 of 10

    In a toy model of one quark generation, asymptotically safe gravity predicts four-fermion SMEFT coefficients are either Planck-scale suppressed or zero, with exceptions only at very large gravitational coupling.

  2. 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...

  3. Self-consistent graviton spectral function in Lorentzian quantum gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    A self-consistent spectral renormalisation group computation yields a positive, normalizable graviton spectral function with a massless pole and a multi-graviton continuum decaying as 1/(λ² log³ λ²).

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