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Amplitudes and Renormalization Group Techniques: A Case Study

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arxiv 2307.00055 v3 pith:R7TOJFH6 submitted 2023-06-30 hep-th gr-qc

Diego Buccio , John F. Donoghue , Roberto Percacci This is my paper · ORCID
classification hep-thgr-qc
keywords derivativeamplitudesgravityhighermodelpointthresholdabove
verification ladder T0 review T1 audit T2 compute T3 formal
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We explore the properties of a simple renormalizable shift symmetric model with a higher derivative kinetic energy and quartic derivative coupling, that can serve as a toy model for higher derivative theories of gravity. The scattering amplitude behaves as in a normal effective field theory below the threshold for the production of ghosts, but has an unexpectedly soft behavior above the threshold. The physical running of the parameters is extracted from the 2-point and 4-point amplitudes. The results are compared to those obtained by other methods and are found to agree only in limiting cases. We draw several lessons that may apply also to gravity.

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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

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    In the Einstein-Hilbert truncation on de Sitter, the Lorentzian FRG flow exhibits a non-Gaussian UV fixed point for ζ=1/2 and ζ=1 gauges over restricted parameter ranges.

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

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    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. 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.

  4. Standard Running, "Physical Running", Cosmological Constant and Newton Coupling

    hep-th 2025-05 conditional novelty 5.0 of 10

    Standard beta functions remain valid with a proper scale choice, and vacuum energy plus Newton coupling can run in curved spacetime.

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