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

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, is discussed. The so-called critical gravity is also considered. © 2013 American Physical Society.