Is Quantum Einstein Gravity Nonperturbatively Renormalizable?

Details Is Quantum Einstein Gravity Nonperturbatively Renormalizable? Is Quantum Einstein Gravity Nonperturbatively Renormalizable?

2001-10-02

arxiv.org/abs/hep-th/0110021v1

Class.Quant.Grav. 19 (2002) 483-492

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, latex, 3 figures

Scientific paper

10.1088/0264-9381/19/3/304

We find considerable evidence supporting the conjecture that four-dimensional Quantum Einstein Gravity is ``asymptotically safe'' in Weinberg's sense. This would mean that the theory is likely to be nonperturbatively renormalizable and thus could be considered a fundamental (rather than merely effective) theory which is mathematically consistent and predictive down to arbitrarily small length scales. For a truncated version of the exact flow equation of the effective average action we establish the existence of a non-Gaussian renormalization group fixed point which is suitable for the construction of a nonperturbative infinite cutoff-limit. The truncation ansatz includes the Einstein-Hilbert action and a higher derivative term.

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