Stability of the de-Sitter universe: One-loop nonlocal $f(R)$ gravity
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866916241960075264 |
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| author | Feng, Haiyuan Liao, Yi Yang, Rong-Jia |
| author_facet | Feng, Haiyuan Liao, Yi Yang, Rong-Jia |
| contents | With the method of the background field expansion, we investigate the one-loop quantization of the Euclidean nonlocal $f(R)$ model in the de-Sitter universe. We obtain the ghost-free condition (GFC) based on the transformation from the Jordan frame to the Einstein frame and the classical stability condition (CSC) satisfied $f^{(0)}_{RR}-ϕ_0F^{(0)}_{RR}<0$. We present the on-shell and off-shell one-loop effective action and quantum stability condition (QSC) by utilizing the generalized zeta-function. We find that under the fulfillment of GFC, CSC and QSC are inconsistent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_11908 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stability of the de-Sitter universe: One-loop nonlocal $f(R)$ gravity Feng, Haiyuan Liao, Yi Yang, Rong-Jia General Relativity and Quantum Cosmology With the method of the background field expansion, we investigate the one-loop quantization of the Euclidean nonlocal $f(R)$ model in the de-Sitter universe. We obtain the ghost-free condition (GFC) based on the transformation from the Jordan frame to the Einstein frame and the classical stability condition (CSC) satisfied $f^{(0)}_{RR}-ϕ_0F^{(0)}_{RR}<0$. We present the on-shell and off-shell one-loop effective action and quantum stability condition (QSC) by utilizing the generalized zeta-function. We find that under the fulfillment of GFC, CSC and QSC are inconsistent. |
| title | Stability of the de-Sitter universe: One-loop nonlocal $f(R)$ gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.11908 |