Lorentzian Quantum Gravity and the Graviton Spectral Function

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 spectra...

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Bibliographic Details
Published in:Physical review letters 2023-02, Vol.130 (8), p.081501-081501, Article 081501
Main Authors: Fehre, Jannik, Litim, Daniel F, Pawlowski, Jan M, Reichert, Manuel
Format: Article
Language:English
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.130.081501