Renormalization group improved gravitational actions: a Brans-Dicke approach

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dc.creatorReuter, M.
dc.creatorWeyer, H.
dc.date2003-11-21
dc.date2004-03-23
dc.date.accessioned2026-07-07T04:16:12Z
dc.date.available2026-07-07T04:16:12Z
dc.descriptionA new framework for exploiting information about the renormalization group (RG) behavior of gravity in a dynamical context is discussed. The Einstein-Hilbert action is RG-improved by replacing Newton's constant and the cosmological constant by scalar functions in the corresponding Lagrangian density. The position dependence of $G$ and $Λ$ is governed by a RG equation together with an appropriate identification of RG scales with points in spacetime. The dynamics of the fields $G$ and $Λ$ does not admit a Lagrangian description in general. Within the Lagrangian formalism for the gravitational field they have the status of externally prescribed ``background'' fields. The metric satisfies an effective Einstein equation similar to that of Brans-Dicke theory. Its consistency imposes severe constraints on allowed backgrounds. In the new RG-framework, $G$ and $Λ$ carry energy and momentum. It is tested in the setting of homogeneous-isotropic cosmology and is compared to alternative approaches where the fields $G$ and $Λ$ do not carry gravitating 4-momentum. The fixed point regime of the underlying RG flow is studied in detail.
dc.descriptionLaTeX, 72 pages, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0311196
dc.identifierhttp://arxiv.org/abs/hep-th/0311196
dc.identifierPhys.Rev. D69 (2004) 104022
dc.identifierdoi:10.1103/PhysRevD.69.104022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52262
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleRenormalization group improved gravitational actions: a Brans-Dicke approach
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