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Finite Quantum Gravity Amplitudes -- no strings attached

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arxiv 2007.00733 v2 pith:JM25HUBN submitted 2020-07-01 hep-th gr-qc

Tom Draper , Benjamin Knorr , Chris Ripken , Frank Saueressig This is my paper
classification hep-thgr-qc
keywords amplitudesquantumscatteringspinactionattachedavoidsbounds
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the gravity-mediated scattering of scalar fields based on a parameterisation of the Lorentzian quantum effective action. We demonstrate that the interplay of infinite towers of spin zero and spin two poles at imaginary squared momentum leads to scattering amplitudes that are compatible with unitarity bounds, causal, and scale-free at trans-Planckian energy. Our construction avoids introducing non-localities or the massive higher-spin particles that are characteristic in string theory.

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Cited by 7 Pith papers

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

  1. Spectral Functions of Lorentzian Quantum Gravity

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    Spectral functions for graviton and scalar graviton modes are derived in Lorentzian asymptotically safe quantum gravity via adapted FRG flow equations, yielding normalisable results consistent with infrared effective theory.

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  3. Asymptotically Safe Gravitational Form Factors from the Proper-Time Flow Equation

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    Asymptotically safe gravitational form factors are obtained by integrating the proper-time flow to k=0; finite cutoff-independent results with 1/q² UV decay require selecting the non-Gaussian fixed point as UV boundar...

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    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).

  5. The pole truth: an analytical graviton propagator from Asymptotic Safety

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    Analytical approximation to the graviton propagator from Asymptotic Safety shows no extra poles and identifies a mechanism where spurious pole residues vanish at higher orders.

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    An exact, polynomial flow equation for the S-matrix generating functional of a scalar field, equivalent to the Polchinski/Wetterich flows under a change of variables, with on-shell extraction at the classical equation...

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