Quantum gravity with torsion and non-metricity

TL;DR

This paper investigates the renormalization properties of a broad class of gravity theories with torsion and non-metricity, analyzing their fixed points and stability, with implications for quantum gravity.

Contribution

It provides the first comprehensive one-loop beta function analysis for Palatini-type gravity theories with 19 parameters, including torsion and non-metricity.

Findings

Holst subspace is not stable under renormalization

Identifies fixed points in the parameter space

Discusses implications for ultraviolet and infrared gravity

Abstract

We study the renormalization of theories of gravity with an arbitrary (torsionful and non-metric) connection. The class of actions we consider is of the Palatini type, including the most general terms with up to two derivatives of the metric, but no derivatives of the connection. It contains 19 independent parameters. We calculate the one loop beta functions of these parameters and find their fixed points. The Holst subspace is discussed in some detail and found not to be stable under renormalization. Some possible implications for ultraviolet and infrared gravity are discussed.