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Towards Reconstructing the Quantum Effective Action of Gravity.

Benjamin Knorr¹, Frank Saueressig¹

¹Institute for Mathematics, Astrophysics and Particle Physics (IMAPP), Radboud University Nijmegen, Heyendaalseweg 135, 6525 AJ Nijmegen, Netherlands.

Physical Review Letters

|November 3, 2018

Summary

Researchers developed a new method to analyze quantum gravity theories by calculating correlation functions. This approach suggests the Einstein-Hilbert action is augmented by a nonlocal term in causal dynamical triangulations.

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Area of Science:

Theoretical physics
Quantum gravity

Background:

Understanding quantum gravity is a major challenge in theoretical physics.
Connecting fundamental theories to observable low-energy physics remains difficult.

Purpose of the Study:

To develop a formalism for reverse-engineering quantum effective actions from observable correlation functions.
To apply this formalism to causal dynamical triangulations (CDT) to investigate its quantum effective action.

Main Methods:

Parametrization of the quantum effective action for gravity.
Calculation of correlation functions for observable quantities.
Development of a matching-template formalism to connect correlation functions to effective dynamics.

Main Results:

The developed formalism successfully reverse-engineers couplings from correlation functions.
Analysis of spatial volume fluctuations in CDT suggests the quantum effective action includes a nonlocal interaction term beyond the Einstein-Hilbert action.

Conclusions:

The matching-template formalism provides a bridge between fundamental quantum gravity formulations and observable low-energy physics.
This method is adaptable to various quantum gravity programs, offering a path to empirical verification.