• Open Access

Lorentzian Quantum Gravity and the Graviton Spectral Function

Jannik Fehre, Daniel F. Litim, Jan M. Pawlowski, and Manuel Reichert
Phys. Rev. Lett. 130, 081501 – Published 24 February 2023
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Abstract

We present the first direct and nonperturbative computation of the graviton spectral function in quantum gravity. This is achieved with the help of a novel Lorentzian renormalization group approach, combined with a spectral representation of correlation functions. We find a positive graviton spectral function, showing a massless one-graviton peak and a multigraviton continuum with an asymptotically safe scaling for large spectral values. We also study the impact of a cosmological constant. Further steps to investigate scattering processes and unitarity in asymptotically safe quantum gravity are indicated.

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  • Received 3 February 2022
  • Revised 23 November 2022
  • Accepted 1 February 2023

DOI:https://doi.org/10.1103/PhysRevLett.130.081501

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & AstrophysicsParticles & Fields

Authors & Affiliations

Jannik Fehre1, Daniel F. Litim2, Jan M. Pawlowski1,3, and Manuel Reichert2

  • 1Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany
  • 2Department of Physics and Astronomy, University of Sussex, Brighton BN1 9QH, United Kingdom
  • 3ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung mbH, Planckstrasse 1, 64291 Darmstadt, Germany

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Issue

Vol. 130, Iss. 8 — 24 February 2023

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