Renormalization group improved gravitational actions: a Brans-Dicke approach

Abstract

A 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 $\Lambda$ 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 $\Lambda$ 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 $\Lambda$ 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 $\Lambda$ do not carry gravitating 4-momentum. The fixed point regime of the underlying RG flow is studied in detail.

LaTeX, 72 pages, no figures

References in corpus (38)

• Cosmology and the Fate of Dilatation Symmetry
• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Nonperturbative Evolution Equation for Quantum Gravity
• Renormalization group improved black hole spacetimes
• Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
• Exact Renormalization Group Equations. An Introductory Review
• Ultraviolet Fixed Point and Generalized Flow Equation of Quantum Gravity
• The cosmon model for an asymptotically vanishing time-dependent cosmological ``constant''
• Nonminimal coupling and quintessence
• Flow Equation of Quantum Einstein Gravity in a Higher-Derivative Truncation
• Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
• Cosmology of the Planck Era from a Renormalization Group for Quantum Gravity
• The scaling evolution of cosmological constant
• The Running Gravitational Couplings
• On the scaling behavior of the cosmological constant and the possible existence of new forces and new light degrees of freedom
• Asymptotic Safety of Gravity Coupled to Matter
• Is Quantum Einstein Gravity Nonperturbatively Renormalizable?
• Cosmology with Self-Adjusting Vacuum Energy Density from a Renormalization Group Fixed Point
• Elements of the Continuous Renormalization Group
• Contraints on Matter from Asymptotic Safety
• Variable Cosmological Constant as a Planck Scale Effect
• Quantum Gravity effects near the null black hole singularity
• Cosmological parameters are dressed
• A class of nonlocal truncations in Quantum Einstein Gravity and its renormalization group behavior
• Confronting the IR Fixed Point Cosmology with High Redshift Observations
• Effective Nonlocal Euclidean Gravity
• Towards Nonperturbative Renormalizability of Quantum Einstein Gravity
• Effective average action in statistical physics and quantum field theory
• Cosmological Perturbations in Renormalization Group Derived Cosmologies
• Dimensionally reduced gravity theories are asymptotically safe
• A Renormalization Group Approach to Relativistic Cosmology
• Renormalization and asymptotic safety in truncated quantum Einstein gravity
• Renormalization of the Topological Charge in Yang-Mills Theory
• Effective Average Action of Chern-Simons Field Theory
• A Class of Renormalization Group Invariant Scalar Field Cosmologies
• Astrophysical and cosmological constraints on a scale-dependent gravitational coupling
• Gravity and Matter with Asymptotic Safety

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