__smbhome.uscs.susx.ac.uk_akj23_Documents_SRO 01 07 7.pdf (1.3 MB)
Asymptotic safety of quantum gravity beyond Ricci scalars
journal contribution
posted on 2023-06-09, 18:17 authored by Kevin Falls, Callum R King, Daniel LitimDaniel Litim, Konstas Nikolakopoulos, Christoph RahmedeWe investigate the asymptotic safety conjecture for quantum gravity including curvature invariants beyond Ricci scalars. Our strategy is put to work for families of gravitational actions which depend on functions of the Ricci scalar, the Ricci tensor, and products thereof. Combining functional renormalization with high order polynomial approximations and full numerical integration we derive the renormalization group flow for all couplings and analyse their fixed points, scaling exponents, and the fixed point effective action as a function of the background Ricci curvature. The theory is characterized by three relevant couplings. Higher-dimensional couplings show near-Gaussian scaling with increasing canonical mass dimension. We find that Ricci tensor invariants stabilize the UV fixed point and lead to a rapid convergence of polynomial approximations. We apply our results to models for cosmology and establish that the gravitational fixed point admits inflationary solutions. We also compare findings with those from fðRÞ-type theories in the same approximation and pin-point the key new effects due to Ricci tensor interactions. Implications for the asymptotic safety conjecture of gravity are indicated.
History
Publication status
- Published
File Version
- Published version
Journal
Physical Review DISSN
2470-0010Publisher
American Physical SocietyExternal DOI
Issue
8Volume
97Page range
086006-1-34Department affiliated with
- Physics and Astronomy Publications
Research groups affiliated with
- Theoretical Particle Physics Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2019-07-02First Open Access (FOA) Date
2019-07-02First Compliant Deposit (FCD) Date
2019-07-01Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC