Renormalization group flow of quantum gravity in the Einstein-Hilbert truncation
Oct, 200157 pages
Published in:
- Phys.Rev.D 65 (2002) 065016
e-Print:
- hep-th/0110054 [hep-th]
Report number:
- MZ-TH-01-27
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Abstract:
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 . 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.- 04.60.-m
- 11.15.Tk
- 11.10.Jj
- 11.10.Hi
- quantum gravity
- renormalization group
- beta function: nonperturbative
- gravitation: fundamental constant
- cosmological constant
- fixed point
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