Reconstructing the graviton

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...

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Main Author: Alfio Bonanno, Tobias Denz, Jan M. Pawlowski, Manuel Reichert
Format: Article
Language:English
Published: SciPost 2022-01-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.12.1.001
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author Alfio Bonanno, Tobias Denz, Jan M. Pawlowski, Manuel Reichert
author_facet Alfio Bonanno, Tobias Denz, Jan M. Pawlowski, Manuel Reichert
author_sort Alfio Bonanno, Tobias Denz, Jan M. Pawlowski, Manuel Reichert
collection DOAJ
description 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.
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spelling doaj.art-58d9e0398edf4ad29aeda1d5f115c4502022-12-21T19:24:17ZengSciPostSciPost Physics2542-46532022-01-0112100110.21468/SciPostPhys.12.1.001Reconstructing the gravitonAlfio Bonanno, Tobias Denz, Jan M. Pawlowski, Manuel ReichertWe 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.https://scipost.org/SciPostPhys.12.1.001
spellingShingle Alfio Bonanno, Tobias Denz, Jan M. Pawlowski, Manuel Reichert
Reconstructing the graviton
SciPost Physics
title Reconstructing the graviton
title_full Reconstructing the graviton
title_fullStr Reconstructing the graviton
title_full_unstemmed Reconstructing the graviton
title_short Reconstructing the graviton
title_sort reconstructing the graviton
url https://scipost.org/SciPostPhys.12.1.001
work_keys_str_mv AT alfiobonannotobiasdenzjanmpawlowskimanuelreichert reconstructingthegraviton