Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-10-05
Phys.Rev.D65:065016,2002
Physics
High Energy Physics
High Energy Physics - Theory
58 pages, latex, 24 figures
Scientific paper
10.1103/PhysRevD.65.065016
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.
Reuter Martin
Saueressig Frank
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