Stability of the de-Sitter universe: One-loop nonlocal $f(R)$ gravity
| Autor: | Feng, Haiyuan, Liao, Yi, Yang, Rong-Jia |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | JHEP 05 (2024) 115 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP05(2024)115 |
| Popis: | 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 $f^{(0)}_{RR}-\phi_0F^{(0)}_{RR}<0$. 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. Comment: 26 pages,0 figure |
| Databáze: | arXiv |
| Externí odkaz: |
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