Towards the determination of the dimension of the critical surface in asymptotically safe gravity
Abstract
We compute the beta functions of Higher Derivative Gravity within the Functional Renormalization Group approach, going beyond previously studied approximations. We find that the presence of a nontrivial Newtonian coupling induces, in addition to the free fixed point of the one-loop approximation, also two nontrivial fixed points, of which one has the right signs to be free from tachyons. Our results are consistent with earlier suggestions that the dimension of the critical surface for pure gravity is three.
- Publication:
-
Physics Letters B
- Pub Date:
- November 2020
- DOI:
- 10.1016/j.physletb.2020.135773
- arXiv:
- arXiv:2004.04126
- Bibcode:
- 2020PhLB..81035773F
- Keywords:
-
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- V2: Some comments and a ref. are added. The full beta functions have been made available in a Mathematica file at https://doi.org/10.5281/zenodo.4017671 and a detailed derivation of the beta functions is given in the ancillary file on this arXiv page. V3: Minor corrections