Weyl-Weyl Correlator in de Donder Gauge on de Sitter

TL;DR

This paper calculates the Weyl-Weyl correlator and the one-loop expectation value of the Weyl tensor squared in de Sitter space, using a new graviton propagator solution in de Donder gauge, confirming previous results.

Contribution

It introduces a new solution for the graviton propagator in de Donder gauge and verifies the correlator matches prior noncovariant gauge computations.

Findings

Weyl-Weyl correlator matches previous noncovariant gauge results

One-loop Weyl tensor squared expectation value computed using dimensional regularization

New graviton propagator solution in de Donder gauge provided

Abstract

We compute the linearized Weyl-Weyl correlator using a new solution for the graviton propagator on de Sitter background in de Donder gauge. The result agrees exactly with a previous computation in a noncovariant gauge. We also use dimensional regularization to compute the one loop expectation value of the square of the Weyl tensor.