Wave function renormalization in asymptotically safe quantum gravity

We discuss the effect of wave function renormalization (WFR) in asymptotically safe gravity. We show that there are two WFR-invariant quantities, and the renormalization (RG) equations may be written entirely in terms of these quantities. The same set of RG equations can be obtained whether we fix the vacuum energy or Newton coupling along the RG trajectory. The flow of the Newton constant and the vacuum energy is also discussed in detail. In particular we discuss how the vacuum energy behaves near the singular barrier in the low energy.

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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2025-02-06
DOI
https://doi.org/10.1103/physrevd.111.046012
Citations
4
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
4.62

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article

Wave function renormalization in asymptotically safe quantum gravity

H. Kawai, Nobuyoshi Ohta
4 citations
Physical review. D/Physical review. D.
Cosmology and Gravitation Theories
4.62
article

Wave function renormalization in asymptotically safe quantum gravity

H. Kawai, Nobuyoshi Ohta
article en
4 citations

Abstract

We discuss the effect of wave function renormalization (WFR) in asymptotically safe gravity. We show that there are two WFR-invariant quantities, and the renormalization (RG) equations may be written entirely in terms of these quantities. The same set of RG equations can be obtained whether we fix the vacuum energy or Newton coupling along the RG trajectory. The flow of the Newton constant and the vacuum energy is also discussed in detail. In particular we discuss how the vacuum energy behaves near the singular barrier in the low energy.

Physical review. D/Physical review. D.Vol. 111(4)
National Taiwan University (TW), National Center for Theoretical Sciences (TW), Osaka Metropolitan University (JP), National Center for Theoretical Sciences, Physics Division, Kindai University (JP)
Ministry of Science and Technology, Taiwan, National Taiwan University, Japan Society for the Promotion of Science
Openalex Percentile: Top 6%
Cosmology and Gravitation Theories
4.62
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