One-loop Euclidean Einstein-Weyl gravity in de Sitter universe

TL;DR

This paper performs a detailed one-loop quantum analysis of Euclidean Einstein-Weyl gravity in de Sitter space, deriving effective actions, renormalization properties, and exploring critical gravity scenarios.

Contribution

It provides explicit calculations of one-loop effective actions and renormalization group equations for Einstein-Weyl gravity on de Sitter background, including critical gravity analysis.

Findings

Explicit one-loop effective actions obtained.

Renormalization group equations derived.

Critical gravity scenarios discussed.

Abstract

By making use of the background field method, the one-loop quantization for Euclidean Einstein-Weyl quadratic gravity model on the de Sitter universe is investigated. Using generalized zeta function regularization, the on-shell and off-shell one-loop effective actions are explicitly obtained and one-loop renormalizability, as well as the corresponding one-loop renormalization group equations, are discussed. The so called critical gravity is also considered.