Dimensionally Regulated Graviton 1-Point Function in de Sitter

TL;DR

This paper calculates the one-loop quantum gravity correction to the cosmological constant in de Sitter space using dimensional regularization, finding a finite positive renormalization.

Contribution

It provides the first explicit computation of the graviton 1-point function at one loop in de Sitter space with dimensional regularization.

Findings

Finite positive renormalization of the cosmological constant

Explicit one-loop graviton 1-point function in de Sitter

Use of dimensional regularization in quantum gravity

Abstract

We use dimensional regularization to compute the 1PI 1-point function of quantum gravity at one loop order in a locally de Sitter background. As with other computations, the result is a finite constant at this order. It corresponds to a small positive renormalization of the cosmological constant.