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Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox

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arxiv 1907.02903 v1 pith:F7RLP4AY submitted 2019-07-05 hep-th gr-qc

Benjamin Knorr , Chris Ripken , Frank Saueressig This is my paper
classification hep-thgr-qc
keywords quantumspacetimeasymptoticgravitynon-perturbativepropagationsafetytechnical
verification ladder T0 review T1 audit T2 compute T3 formal
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Over the last years the Asymptotic Safety program has matured into a serious candidate for a quantum theory of gravity compatible with observations. The rapid technical progress in computing renormalisation group flows for gravity and gravity-matter systems in the non-perturbative regime has put many interesting physical questions within reach. In particular, the construction of the non-perturbative quantum corrections to the propagation of fields on a fluctuating spacetime allows addressing the effective propagation of matter on a quantum spacetime or the possible resolution of spacetime singularities based on first principle computations. In this article, we assemble a technical toolbox for carrying out investigations on this promising research frontier. As a specific example we present results for the momentum-dependent two-point function for a scalar field induced by the quantum fluctuations of the underlying geometry in a self-consistent way.

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Cited by 5 Pith papers

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  3. 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...

  4. Regulator and gauge dependence of the Abelian gauge coupling in asymptotically safe quantum gravity

    hep-th 2025-08 unverdicted novelty 6.0 of 10

    The existence of an asymptotically safe UV completion for the Abelian gauge coupling is shown to survive simultaneous variations of the regulator and gauge parameters in certain minimal-sensitivity regions.

  5. Matter Spectral Functions from Quantum Gravity

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