On de Sitter solutions in asymptotically safe [function](R) theories

• Verfasst von: Falls, Kevin [VerfasserIn]
• Verfasst von: Litim, D. F. [VerfasserIn]
• Verfasst von: Nikolakopoulos, K. [VerfasserIn]
• Verfasst von: Rahmede, C. [VerfasserIn]
• Titel: On de Sitter solutions in asymptotically safe [function](R) theories
• Verf.angabe: K Falls, DF Litim, K Nikolakopoulos and C Rahmede
• E-Jahr: 2018
• Jahr: 1 June 2018
• Umfang: 27 S.
• Fussnoten: Im Titel ist "function" als mathematisches Zeichen dargestellt ; Im Titel ist f(R) hochgestellt ; Gesehen am 20.04.2020
• Titel Quelle: Enthalten in: Classical and quantum gravity
• Ort Quelle: Bristol : IOP Publ., 1984
• Jahr Quelle: 2018
• Band/Heft Quelle: 35(2018,13) Article: 135006, 27 Seiten
• ISSN Quelle: 1361-6382
• DOI: doi:10.1088/1361-6382/aac440
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1694951014

Abstract

The availability of scaling solutions in renormalisation group improved versions of cosmology are investigated in the high-energy limit. We adopt -type models of quantum gravity which display an interacting ultraviolet fixed point at shortest distances. Expanding the gravitational fixed point action to very high order in the curvature scalar, we detect a convergence-limiting singularity in the complex field plane. Resummation techniques including Padé approximants as well as infinite order approximations of the effective action are used to maximise the domain of validity. We find that the theory displays near de Sitter solutions as well as an anti-de Sitter solution in the UV whereas real de Sitter solutions, for small curvature, appear to be absent. The significance of our results for inflation, and implications for more general models of quantum gravity are discussed.