Reconstructing the graviton

Author:

Bonanno Alfio12,Denz Tobias3,Pawlowski Jan M.43,Reichert Manuel5

Affiliation:

1. INFN Sezione di Catania

2. Osservatorio Astrofisico di Catania

3. Heidelberg University

4. ExtreMe Matter Institute

5. University of Sussex

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.

Funder

Deutsche Forschungsgemeinschaft

Science and Technology Facilities Council

Publisher

Stichting SciPost

Subject

General Physics and Astronomy

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