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Renormalization group scale-setting from the action—a road to modified gravity theories

Domazet, Silvije; Štefančić, Hrvoje (2012) Renormalization group scale-setting from the action—a road to modified gravity theories. Classical and Quantum Gravity, 29 (23). pp. 35005-1. ISSN 0264-9381

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The renormalization group (RG) corrected gravitational action in Einstein– Hilbert and other truncations is considered. The running scale of the RG is treated as a scalar field at the level of the action and determined in a scale-setting procedure recently introduced by Koch and Ramirez for the Einstein–Hilbert truncation. The scale-setting procedure is elaborated for other truncations of the gravitational action and applied to several phenomenologically interesting cases. It is shown how the logarithmic dependence of the Newton’s coupling on the RG scale leads to exponentially suppressed effective cosmological constant and how the scale-setting in particular RG-corrected gravitational theories yields the effective f (R) modified gravity theories with negative powers of the Ricci scalar R. The scale-setting at the level of the action at the non-Gaussian fixed point in Einstein–Hilbert and more general truncations is shown to lead to universal effective action quadratic in the Ricci tensor.

Item Type: Article
Uncontrolled Keywords: renormalization group; modified gravity; cosmological constant
Subjects: NATURAL SCIENCES > Physics
NATURAL SCIENCES > Physics > Astronomy and Astrophysics
Divisions: Theoretical Physics Division
Project titleProject leaderProject codeProject type
Fundamentalne interakcije u fizici elementarnih čestica i kozmologiji[3635] Nevenko Bilić098-0982930-2864MZOS
Depositing User: Silvije Domazet
Date Deposited: 24 Apr 2015 12:26
DOI: 10.1088/0264-9381/29/23/235005

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