The gravitational path integral and trace of the diffeomorphisms

TL;DR

This paper addresses the divergence issue in the Euclidean gravitational path integral by analyzing the trace of diffeomorphisms and its impact on the measure, providing a potential resolution.

Contribution

It introduces a method to resolve the conformal mode divergence by isolating the trace of diffeomorphisms in the path integral measure.

Findings

Resolved the conformal mode divergence in the Euclidean gravitational path integral.

Identified the contribution of the trace of diffeomorphisms to the Faddeev-Popov measure.

Provided a new perspective on the gravitational path integral measure.

Abstract

I give a resolution of the conformal mode divergence in the Euclidean gravitational path-integral by isolating the trace of the diffeomorphisms and its contribution to the Faddeev-Popov measure.