English

Fixed Points of Higher Derivative Gravity

High Energy Physics - Theory 2008-11-26 v2

Abstract

We recalculate the beta functions of higher derivative gravity in four dimensions using the one--loop approximation to an Exact Renormalization Group Equation. We reproduce the beta functions of the dimensionless couplings that were known in the literature but we find new terms for the beta functions of Newton's constant and of the cosmological constant. As a result, the theory appears to be asymptotically safe at a non--Gaussian Fixed Point, rather than perturbatively renormalizable and asymptotically free.

Keywords

Cite

@article{arxiv.hep-th/0607128,
  title  = {Fixed Points of Higher Derivative Gravity},
  author = {A. Codello and R. Percacci},
  journal= {arXiv preprint arXiv:hep-th/0607128},
  year   = {2008}
}

Comments

Introduction expanded, some references added

R2 v1 2026-07-22T15:37:17.904Z