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Self-consistent graviton spectral function in Lorentzian quantum gravity
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DOI：10.1016/j.physletb.2026.140844.png)
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Abstract
En 中文
We present the first fully self-consistent computation of the graviton spectral function in quantum gravity, using the spectral renormalisation group for gravity put forward in [1] within a physical mass-shell renormalisation scheme. Here, self-consistency refers to the fact that the full non-perturbative spectral function is used in the diagrams, including the scattering continuum. We find a positive graviton spectral function with a massless one-graviton peak and a multi-graviton continuum with a close-to-quadratic spectral decay in the ultraviolet. Within the physical on-shell renormalisation scheme, the graviton satisfies the sum rule of an asymptotic state and features a unit total spectral weight. We briefly discuss the implications of the physical formulation for the computation of scattering processes and investigations of unitarity in asymptotically safe quantum gravity.
Keywords:
Lorentzian quantum gravity
Asymptotically safe quantum gravity
Spectral functions
On-shell renormalisation
Functional renormalisation group
Analytic structure of correlation functions
Journal
IF:
4.5
Papers:
3.2W
Citations:
7.3W