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.
{ "_oai": { "updated": "2024-05-10T18:30:33Z", "id": "oai:repo.scoap3.org:85348", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "China", "value": "Department of Physics, Southern University of Science and Technology, Shenzhen, Guangdong, 518055, China", "organization": "Southern University of Science and Technology" } ], "surname": "Feng", "email": "fenghaiyuanphysics@gmail.com", "full_name": "Feng, Haiyuan", "given_names": "Haiyuan" }, { "affiliations": [ { "country": "China", "value": "Department of Physics, College of Mechanical and Electronic Engineering, Fujian Agriculture and Forestry University, Fuzhou, 350002, China", "organization": "Fujian Agriculture and Forestry University" }, { "country": "China", "value": "Department of Materials Science and Engineering, College of Engineering, Southern University of Science and Technology, Shenzhen, 518055, China", "organization": "Southern University of Science and Technology" } ], "surname": "Liao", "email": "liaoyitianyi@gmail.com", "full_name": "Liao, Yi", "given_names": "Yi" }, { "affiliations": [ { "country": "China", "value": "College of Physical Science and Technology, Hebei University, Baoding, 071002, China", "organization": "Hebei University" } ], "surname": "Yang", "email": "yangrongjia@tsinghua.org.cn", "full_name": "Yang, Rong-Jia", "given_names": "Rong-Jia" } ], "titles": [ { "source": "Springer", "title": "Stability of the de-Sitter universe: one-loop nonlocal f (R) gravity" } ], "dois": [ { "value": "10.1007/JHEP05(2024)115" } ], "publication_info": [ { "page_end": "22", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2024", "artid": "JHEP05(2024)115", "year": 2024, "page_start": "1", "journal_issue": "5" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2024-05-10T18:30:24.470457", "source": "Springer", "method": "Springer", "submission_number": "4f391c6a0efb11ef8aba361627bebfa6" }, "page_nr": [ 22 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2024" } ], "control_number": "85348", "record_creation_date": "2024-05-10T18:30:24.470478", "_files": [ { "checksum": "md5:6c3b68997331f3f071e37fbf0f6423e3", "filetype": "xml", "bucket": "f4151c0b-fdbf-4740-8f9d-cecb0d987d60", "version_id": "6f8c86bf-df02-466d-813f-7075059d87a2", "key": "10.1007/JHEP05(2024)115.xml", "size": 13118 }, { "checksum": "md5:ba3e6ebb85d270a54c7cafc2c9a12254", "filetype": "pdf/a", "bucket": "f4151c0b-fdbf-4740-8f9d-cecb0d987d60", "version_id": "4a892b99-44c5-4244-9efe-75241a6e2083", "key": "10.1007/JHEP05(2024)115_a.pdf", "size": 400729 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "gr-qc" ], "value": "2312.11908" } ], "abstracts": [ { "source": "Springer", "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 $${f}_{RR}^{\\left(0\\right)}-{\\phi }_{0}{F}_{RR}^{\\left(0\\right)}<0$$ . 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." } ], "imprints": [ { "date": "2024-05-10", "publisher": "Springer" } ] }