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PreprintCC BY 4.0arXiv

Scalar-scalar-graviton vertex from Asymptotic Safety

  • Tim Eckert
  • Benjamin Knorr
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Abstract

The unitarity and causality properties of asymptotically safe quantum gravity are still unsettled. Scattering amplitudes provide a direct test, but their computation requires fully momentum-dependent correlation functions. In this light, we compute the full scalar-scalar-graviton vertex from Asymptotic Safety within a mostly analytic approximation. Qualitatively, we find the expected logarithmic branch-cut structure, and we correctly recover the double-eikonal soft divergences predicted by Weinberg's soft theorem. Quantitatively, we find that non-minimal operators are generally as important as the minimal vertex stemming from the scalar kinetic term.

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Cite

BibTeXRIS
BibTeX
@misc{eckert2026scalarscalargraviton,
  title = {{Scalar-scalar-graviton vertex from Asymptotic Safety}},
  author = {Tim Eckert and Benjamin Knorr},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.29717},
  eprint = {2610.29717},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.29717},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Scalar-scalar-graviton vertex from Asymptotic Safety
AU  - Tim Eckert
AU  - Benjamin Knorr
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.29717
UR  - https://arxiv.org/abs/2610.29717
AB  - The unitarity and causality properties of asymptotically safe quantum gravity are still unsettled. Scattering amplitudes provide a direct test, but their computation requires fully momentum-dependent correlation functions. In this light, we compute the full scalar-scalar-graviton vertex from Asymptotic Safety within a mostly analytic approximation. Qualitatively, we find the expected logarithmic branch-cut structure, and we correctly recover the double-eikonal soft divergences predicted by Weinberg's soft theorem. Quantitatively, we find that non-minimal operators are generally as important as the minimal vertex stemming from the scalar kinetic term.
ER  -