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2017 ; 77
(7
): 491
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Impact of topology in foliated quantum Einstein gravity
#MMPMID28943798
Houthoff WB
; Kurov A
; Saueressig F
Eur Phys J C Part Fields
2017[]; 77
(7
): 491
PMID28943798
show ga
We use a functional renormalization group equation tailored to the
Arnowitt-Deser-Misner formulation of gravity to study the scale dependence of
Newton's coupling and the cosmological constant on a background spacetime with
topology [Formula: see text]. The resulting beta functions possess a non-trivial
renormalization group fixed point, which may provide the high-energy completion
of the theory through the asymptotic safety mechanism. The fixed point is robust
with respect to changing the parametrization of the metric fluctuations and
regulator scheme. The phase diagrams show that this fixed point is connected to a
classical regime through a crossover. In addition the flow may exhibit a regime
of "gravitational instability", modifying the theory in the deep infrared. Our
work complements earlier studies of the gravitational renormalization group flow
on a background topology [Formula: see text] (Biemans et al. Phys Rev D
95:086013, 2017, Biemans et al. arXiv:1702.06539, 2017) and establishes that the
flow is essentially independent of the background topology.
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