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Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm

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arxiv 2212.08441 v2 pith:KBPSRGSV submitted 2022-12-16 gr-qc hep-th

Astrid Eichhorn , Rafael R. Lino dos Santos , Fabian Wagner This is my paper · ORCID
classification gr-qchep-th
keywords gravityhorndeskienergyconstraintsdarkdynamicaltheoryasymptotic-safety
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Horndeski gravity is a popular contender for a phenomenological model of dynamical dark energy, and as such subject to observational constraints. In this work, we ask whether Horndeski gravity can be more than a phenomenological model and instead become a fundamental theory, which extends towards high energy scales and includes quantum effects. We find that within the asymptotic-safety paradigm, an ultraviolet completion of a simple class of models of Horndeski gravity is achievable, but places strong constraints on the couplings of the theory. These constraints are not compatible with dynamical dark energy. Further, we find a similar result in an effective-field theory approach to this class of models of Horndeski gravity: under the assumption that there is no new strongly-coupled physics below the Planck scale, quantum gravity fluctuations force the Horndeski couplings to be too small to achieve an explanation of dynamical dark energy.

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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. 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. Static Black Holes and Iyer-Wald Entropy in $f(\mathcal{R},\mathcal{K})$ Gravity

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    In f(R,K) gravity with f=-X^{1-n}, first-order Schwarzschild corrections yield Iyer–Wald entropy S = S_BH + λ Υ_n S_BH^{n+1}.

  3. 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.

  4. Asymptotic safety meets tensor field theory: towards a new class of gravity-matter systems

    hep-th 2025-01 conditional novelty 6.0 of 10

    Adding asymptotically safe gravity to the O(N)^3 tensor field theory converts its asymptotic freedom into an interacting fixed point at a non-zero quartic coupling.

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