Renormalization group flow of quantum gravity in the Einstein-Hilbert truncation
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- 28 February 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 65 (6), 065016
- https://doi.org/10.1103/physrevd.65.065016
Abstract
The exact renormalization group equation for pure quantum gravity is used to derive the nonperturbative β-functions for the dimensionless Newton constant and cosmological constant on the theory space spanned by the Einstein-Hilbert truncation. The resulting coupled differential equations are evaluated for a sharp cutoff function. The features of these flow equations are compared to those found when using a smooth cutoff. The system of equations with a sharp cutoff is then solved numerically, deriving the complete renormalization group flow of the Einstein-Hilbert truncation in The resulting renormalization group trajectories are classified and their physical relevance is discussed. The nontrivial fixed point which, if present in the exact theory, might render quantum Einstein gravity nonperturbatively renormalizable is investigated for various spacetime dimensionalities.
Keywords
This publication has 31 references indexed in Scilit:
- Cosmology of the Planck era from a renormalization group for quantum gravityPhysical Review D, 2002
- Ultraviolet fixed point and generalized flow equation of quantum gravityPhysical Review D, 2001
- Exact renormalization group equations: an introductory reviewPhysics Reports, 2001
- EFFECTIVE AVERAGE ACTION IN STATISTICAL PHYSICS AND QUANTUM FIELD THEORYInternational Journal of Modern Physics A, 2001
- Renormalization group improved black hole spacetimesPhysical Review D, 2000
- Quantum gravity effects near the null black hole singularityPhysical Review D, 1999
- Non-Trivial Ultraviolet Fixed Point in Quantum GravityProgress of Theoretical Physics, 1999
- Nonperturbative evolution equation for quantum gravityPhysical Review D, 1998
- Elements of the Continuous Renormalization GroupProgress of Theoretical Physics Supplement, 1998
- Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativityJournal of Mathematical Physics, 1973