Wave Function Renormalization in Asymptotically Safe Quantum Gravity
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910809685229568 |
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| author | Kawai, Hikaru Ohta, Nobuyoshi |
| author_facet | Kawai, Hikaru Ohta, Nobuyoshi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08808 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wave Function Renormalization in Asymptotically Safe Quantum Gravity Kawai, Hikaru Ohta, Nobuyoshi High Energy Physics - Theory General Relativity and Quantum Cosmology 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. |
| title | Wave Function Renormalization in Asymptotically Safe Quantum Gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2412.08808 |