Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 31, Issue 1, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/31/1/015024
Keywords
asymptotic safety; functional renormalization group; new massive gravity
Categories
Funding
- JSPS [24540290, 22244030]
- Grants-in-Aid for Scientific Research [22244030, 24540290] Funding Source: KAKEN
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We derive the one-loop beta functions for a theory of gravity with generic action containing up to four derivatives. The calculation is done in arbitrary dimension and on an arbitrary background. The special cases of three, four, near four, five and six dimensions are discussed in some detail. In all these dimensions there are nontrivial UV fixed points (FPs), which mean that within the approximations there are asymptotically safe trajectories. We also find an indication that a Weyl-invariant FP exists in four dimensions. The new massive gravity in three dimensions does not correspond to a FP.
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