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Reconstructing the graviton
by Alfio Bonanno, Tobias Denz, Jan M. Pawlowski, Manuel Reichert
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Submission summary
| Authors (as registered SciPost users): | Jan M. Pawlowski · Manuel Reichert |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2102.02217v3 (pdf) |
| Date accepted: | 2021-11-01 |
| Date submitted: | 2021-10-07 12:37 |
| Submitted by: | Reichert, Manuel |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We reconstruct the Lorentzian graviton propagator in asymptotically safe quantum gravity from Euclidean data. The reconstruction is applied to both the dynamical fluctuation graviton and the background graviton propagator. We prove that the spectral function of the latter necessarily has negative parts similar to, and for the same reasons, as the gluon spectral function. In turn, the spectral function of the dynamical graviton is positive. We argue that the latter enters cross sections and other observables in asymptotically safe quantum gravity. Hence, its positivity may hint at the unitarity of asymptotically safe quantum gravity.
List of changes
Updated references, corrected typos
Published as SciPost Phys. 12, 001 (2022)