# Locally covariant approach to effective quantum gravity

December 15, 2022

Despite the fact that quantum gravity is non-renormalisable, a consistent and
mathematically rigorous construction of a perturbation series is possible.
This is based on the use of the Batalin-Vilkovisky-Becchi-Rouet-Stora-Tyutin
formalism for gauge theories, the methods of perturbative algebraic quantum
field theory and the principle of local covariance. The truncation of the
series can be interpreted as an effective quantum field theory which provides
predictions for observations at sufficiently small energy scales. Quantum
cosmology can be seen as its lowest order expansion, and precision measurements
on the cosmic microwave background yield the first empirical test of this
approach to quantum gravity.

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