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RESEARCH PRODUCT
Renormalization group flow of quantum gravity in the Einstein-Hilbert truncation
Martin ReuterFrank Saueressigsubject
High Energy Physics - TheoryPhysicsNuclear and High Energy PhysicsDensity matrix renormalization groupAsymptotic safety in quantum gravityFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Renormalization groupGeneral Relativity and Quantum CosmologyRenormalizationGeneral Relativity and Quantum CosmologyClassical mechanicsHigh Energy Physics - Theory (hep-th)Functional renormalization groupQuantum gravitySemiclassical gravityUltraviolet fixed pointMathematical physicsdescription
The exact renormalization group equation for pure quantum gravity is used to derive the non-perturbative $\Fbeta$-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 sharp cutoff is then solved numerically, deriving the complete renormalization group flow of the Einstein-Hilbert truncation in $d=4$. The resulting renormalization group trajectories are classified and their physical relevance is discussed. The non-trivial fixed point which, if present in the exact theory, might render Quantum Einstein Gravity nonperturbatively renormalizable is investigated for various spacetime dimensionalities.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-02-28 | Physical Review D |