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PreprintCC BY 4.0arXiv

Diffeomorphism-invariant Approach to Asymptotically Safe Quantum Gravity

  • Friederike Ihssen
  • Benjamin Knorr
  • Silas Mezger
  • Jan M. Pawlowski
  • Paul P. Sprenger
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Abstract

We provide a novel diffeomorphism-invariant approach to asymptotically safe metric quantum gravity. It is based on physics-informed renormalisation group flows with a renormalisation group kernel that guarantees diffeomorphism invariance at each renormalisation group step. Importantly, it also allows us to control and maintain the relevance counting of operators in metric quantum gravity. The resulting effective action is quantum diffeomorphism-invariant and background-independent. As a first non-trivial application, we compute the Reuter fixed point in a manifestly diffeomorphism-invariant way. This computation is augmented with a detailed discussion of regularisation dependence and a systematic estimate of the errors arising from approximations.

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Cite

BibTeXRIS
BibTeX
@misc{ihssen2026diffeomorphisminvariant,
  title = {{Diffeomorphism-invariant Approach to Asymptotically Safe Quantum Gravity}},
  author = {Friederike Ihssen and Benjamin Knorr and Silas Mezger and Jan M. Pawlowski and Paul P. Sprenger},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07829},
  eprint = {2609.07829},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07829},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Diffeomorphism-invariant Approach to Asymptotically Safe Quantum Gravity
AU  - Friederike Ihssen
AU  - Benjamin Knorr
AU  - Silas Mezger
AU  - Jan M. Pawlowski
AU  - Paul P. Sprenger
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.07829
UR  - https://arxiv.org/abs/2609.07829
AB  - We provide a novel diffeomorphism-invariant approach to asymptotically safe metric quantum gravity. It is based on physics-informed renormalisation group flows with a renormalisation group kernel that guarantees diffeomorphism invariance at each renormalisation group step. Importantly, it also allows us to control and maintain the relevance counting of operators in metric quantum gravity. The resulting effective action is quantum diffeomorphism-invariant and background-independent. As a first non-trivial application, we compute the Reuter fixed point in a manifestly diffeomorphism-invariant way. This computation is augmented with a detailed discussion of regularisation dependence and a systematic estimate of the errors arising from approximations.
ER  -