Infrared-finite graviton two-point function in static de Sitter space

TL;DR

This paper derives an infrared-finite, time-translation invariant graviton two-point function in the static patch of de Sitter space, advancing understanding of quantum gravitational perturbations in this context.

Contribution

It provides the first explicit construction of an infrared-finite graviton two-point function in static de Sitter space, using symplectic inner products and a specific gauge.

Findings

Two-point function is infrared-finite

Function is invariant under time translation

Method applicable to quantum gravity in curved spacetime

Abstract

We study quantum gravitational perturbations in the static patch of de Sitter space. In particular, we determine the symplectic inner product of these perturbations and use it to write down the graviton two-point function in the state analogous to the Bunch-Davies vacuum in a certain gauge. We find this two-point function to be infrared-finite and time-translation invariant.