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Lorentzian quantum gravity and the graviton spectral function

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arxiv 2111.13232 v2 pith:JEV5BI3T submitted 2021-11-25 hep-th gr-qc

classification hep-thgr-qc
keywords spectralfunctiongravitongravityquantumasymptoticallylorentziansafe
verification ladder T0 review T1 audit T2 compute T3 formal
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We present the first direct and non-perturbative computation of the graviton spectral function in quantum gravity. This is achieved with the help of a novel Lorentzian renormalisation 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 multi-graviton 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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Cited by 15 Pith papers

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