Stability of the de-Sitter universe: one-loop nonlocal f (R) gravity

Haiyuan Feng (Department of Physics, Southern University of Science and Technology, Shenzhen, Guangdong, 518055, China) ; Yi Liao (Department of Physics, College of Mechanical and Electronic Engineering, Fujian Agriculture and Forestry University, Fuzhou, 350002, China; Department of Materials Science and Engineering, College of Engineering, Southern University of Science and Technology, Shenzhen, 518055, China) ; Rong-Jia Yang (College of Physical Science and Technology, Hebei University, Baoding, 071002, China)

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 $${f}_{RR}^{\left(0\right)}-{\phi }_{0}{F}_{RR}^{\left(0\right)}<0$$ . 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.

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      "value": "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  $${f}_{RR}^{\\left(0\\right)}-{\\phi }_{0}{F}_{RR}^{\\left(0\\right)}&lt;0$$ . 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."
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Published on:
10 May 2024
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2024 (2024)
Issue 5
Pages 1-22
DOI:
https://doi.org/10.1007/JHEP05(2024)115
arXiv:
2312.11908
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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