Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 38, Issue 6, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1361-6382/abd7c2
Keywords
quantum gravity; non-perturbative renormalisation; conformal factor
Categories
Funding
- Perimeter Institute for Theoretical Physics
- Government of Canada through the Department of Innovation, Science and Industry Canada
- Province of Ontario through the Ministry of Colleges and Universities
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By studying an enlarged truncation of conformally reduced quantum gravity, including operators up to the sixth order in derivatives, it was found that there is no asymptotically safe fixed point in the system beyond an Einstein-Hilbert approximation. These findings provide valuable lessons for general non-perturbative renormalisation group flows.
In this work we study a significantly enlarged truncation of conformally reduced quantum gravity in the context of asymptotic safety, including all operators that can be resolved in such a truncation including up to the sixth order in derivatives. A fixed point analysis suggests that there is no asymptotically safe fixed point in this system once one goes beyond an Einstein-Hilbert approximation. We will put these findings into context and discuss some lessons that can be learned from these results for general non-perturbative renormalisation group flows.
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