Abstract
Starting from a parametrization of the quantum effective action for gravity, we calculate correlation functions for observable quantities. The resulting templates allow us to reverse engineer the couplings describing the effective dynamics from the correlation functions. Applying this new formalism to the autocorrelation function of spatial volume fluctuations measured within the causal dynamical triangulations program suggests that the corresponding quantum effective action consists of the Einstein-Hilbert action supplemented by a nonlocal interaction term. We expect that our matching-template formalism can be adapted to a wide range of quantum gravity programs allowing us to bridge the gap between the fundamental formulation and observable low-energy physics.
Highlights
A canonical way towards addressing this problem would be the construction of the quantum effective action Γ which encodes the dynamics of a quantum theory taking all quantum fluctuations into account
In this Letter, we explicitly demonstrate that this information allows us to reconstruct the underlying quantum effective action, thereby taking a first explicit step in such a reconstruction program
Our analysis provides first-hand evidence for the presence of nonlocal terms which could affect the gravitational dynamics at cosmic scales
Summary
The resulting templates allow us to reverse engineer the couplings describing the effective dynamics from the correlation functions. Applying this new formalism to the autocorrelation function of spatial volume fluctuations measured within the causal dynamical triangulations program suggests that the corresponding quantum effective action consists of the Einstein-Hilbert action supplemented by a nonlocal interaction term. A canonical way towards addressing this problem would be the construction of the quantum effective action Γ which encodes the dynamics of a quantum theory taking all quantum fluctuations into account. In this way, it stores the outcome of a large number of (scattering) processes in an economical way.
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