The Search for the Universality Class of Metric Quantum Gravity

On the basis of a limited number of reasonable axioms, we discuss the classification of all the possible universality classes of diffeomorphisms invariant metric theories of quantum gravity. We use the language of the renormalization group and adopt several ideas which originate in the context of statistical mechanics and quantum field theory. Our discussion leads to several ideas that could affect the status of the asymptotic safety conjecture of quantum gravity and give universal arguments towards its proof.

Automated summary

This paper discusses the classification of diffeomorphisms invariant metric theories of quantum gravity based on a limited number of reasonable axioms, using language from the renormalization group and ideas from statistical mechanics and quantum field theory. The discussion leads to ideas that could impact the status of the asymptotic safety conjecture of quantum gravity and provide universal arguments towards its proof.