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Article: Impact of topology in foliated quantum Einstein gravity.

Houthoff, W B / Kurov, A / Saueressig, F

The European physical journal. C, Particles and fields

2017  Volume 77, Issue 7, Page(s) 491

Abstract: ... of the gravitational renormalization group flow on a background topology [Formula: see text] (Biemans et al. Phys Rev D ... 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 ...

Abstract 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.
Language English
Publishing date 2017-07-24
Publishing country France
Document type Journal Article
ZDB-ID 1459069-4
ISSN 1434-6052 ; 1434-6044
ISSN (online) 1434-6052
ISSN 1434-6044
DOI 10.1140/epjc/s10052-017-5046-8
Database MEDical Literature Analysis and Retrieval System OnLINE

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