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Impact of topology in foliated quantum Einstein gravity
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-tr...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5586974/ https://www.ncbi.nlm.nih.gov/pubmed/28943798 http://dx.doi.org/10.1140/epjc/s10052-017-5046-8 |
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author | Houthoff, W. B. Kurov, A. Saueressig, F. |
author_facet | Houthoff, W. B. Kurov, A. Saueressig, F. |
author_sort | Houthoff, W. B. |
collection | PubMed |
description | 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. |
format | Online Article Text |
id | pubmed-5586974 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
spelling | pubmed-55869742017-09-22 Impact of topology in foliated quantum Einstein gravity Houthoff, W. B. Kurov, A. Saueressig, F. Eur Phys J C Part Fields Regular Article - Theoretical Physics 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. Springer Berlin Heidelberg 2017-07-24 2017 /pmc/articles/PMC5586974/ /pubmed/28943798 http://dx.doi.org/10.1140/epjc/s10052-017-5046-8 Text en © The Author(s) 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. Funded by SCOAP3 |
spellingShingle | Regular Article - Theoretical Physics Houthoff, W. B. Kurov, A. Saueressig, F. Impact of topology in foliated quantum Einstein gravity |
title | Impact of topology in foliated quantum Einstein gravity |
title_full | Impact of topology in foliated quantum Einstein gravity |
title_fullStr | Impact of topology in foliated quantum Einstein gravity |
title_full_unstemmed | Impact of topology in foliated quantum Einstein gravity |
title_short | Impact of topology in foliated quantum Einstein gravity |
title_sort | impact of topology in foliated quantum einstein gravity |
topic | Regular Article - Theoretical Physics |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5586974/ https://www.ncbi.nlm.nih.gov/pubmed/28943798 http://dx.doi.org/10.1140/epjc/s10052-017-5046-8 |
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