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Curvature dependence of quantum gravity with scalars

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arxiv 1912.01624 v1 pith:VIOUMV5M submitted 2019-12-03 hep-th gr-qc

Benjamin Bürger , Jan M. Pawlowski , Manuel Reichert , Bernd-Jochen Schaefer This is my paper
classification hep-thgr-qc
keywords curvaturepositivequantumscalarssolutioncoupledcurvaturesequation
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abstract

We compute curvature-dependent graviton correlation functions and couplings as well as the full curvature potential $f(R)$ in asymptotically safe quantum gravity coupled to scalars. The setup is based on a systematic vertex expansion about metric backgrounds with constant curvatures initiated in arXiv:1711.09259 for positive curvatures. We extend these results to negative curvature and investigate the influence of minimally coupled scalars. The quantum equation of motion has two solutions for all accessible numbers of scalar fields. We observe that the solution at negative curvature is a minimum, while the solution at positive curvature is a maximum. We find indications that the solution to the equation of motions for scalar-gravity systems is at large positive curvature, for which the system might be stable for all scalar flavours.

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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. 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.

  2. Matter Spectral Functions from Quantum Gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    Under asymptotically safe quantum gravity, photon and scalar propagators acquire Källén-Lehmann spectral functions that are non-normalizable and change sign in the ultraviolet.

  3. Gravitationally Induced UV Completion of an $O(N)$ Scalar Theory

    hep-th 2026-01 conditional novelty 5.0 of 10

    Gravity's non-minimal coupling drives the quartic self-coupling of an O(N) scalar to zero at an attractive fixed point, making the broken-phase theory UV-complete and bounding the scalar mass.

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