Conformal Sector in $D=6$ Quantum Gravity

TL;DR

This paper develops a superrenormalizable effective theory for the conformal factor in six-dimensional quantum gravity, offering insights into anomaly-induced actions and proposing a mechanism to address the cosmological constant problem.

Contribution

It introduces a superrenormalizable effective theory for the conformal factor in six-dimensional quantum gravity, simplifying anomaly considerations and suggesting a solution to the cosmological constant problem.

Findings

One-loop analysis yields the anomalous scaling dimension for the conformal factor.

The theory provides a natural mechanism to solve the cosmological constant problem.

Higher-derivative terms in the anomaly-induced effective action can be dropped without loss of generality.

Abstract

We discuss the conformal factor dynamics in $D=6$. Accepting the proposal that higher-derivative dimensionless terms in the anomaly-induced effective action may be dropped, we obtain a superrenormalizable (like in $D=4$) effective theory for the conformal factor. The one-loop analysis of this theory gives the anomalous scaling dimension for the conformal factor and provides a natural mechanism to solve the cosmological constant problem.