Reconstructing the graviton
Alfio Bonanno, Tobias Denz, Jan M. Pawlowski, Manuel Reichert
SciPost Phys. 12, 001 (2022) · published 4 January 2022
- doi: 10.21468/SciPostPhys.12.1.001
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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.
Cited by 55
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Alfio Bonanno,
- 3 Tobias Denz,
- 3 4 Jan M. Pawlowski,
- 5 Manuel Reichert
- 1 INFN Sezione di Catania
- 2 Osservatorio Astrofisico di Catania
- 3 Ruprecht-Karls-Universität Heidelberg / Heidelberg University
- 4 ExtreMe Matter Institute [EMMI]
- 5 University of Sussex