Nonlocal Quantum Gravity and the Size of the Universe

Details Nonlocal Quantum Gravity and the Size of the Universe Nonlocal Quantum Gravity and the Size of the Universe

2003-11-07

arxiv.org/abs/hep-th/0311056v1

Fortsch.Phys. 52 (2004) 650-654

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 1 figure, contribution to the proceedings of the 36th International Symposium Ahrenshoop, Berlin, August 26-30, 2003

Scientific paper

10.1002/prop.200310158

Motivated by the conjecture that the cosmological constant problem is solved by strong quantum effects in the infrared we use the exact flow equation of Quantum Einstein Gravity to determine the renormalization group behavior of a class of nonlocal effective actions. They consist of the Einstein-Hilbert term and a general nonlinear function $F_k(V)$ of the Euclidean spacetime volume $V$. For the $V + V \ln V$-invariant the renormalization group running enormously suppresses the value of the renormalized curvature which results from Planck-size parameters specified at the Planck scale. One obtains very large, i.e., almost flat universes without finetuning the cosmological constant. A critical infrared fixed point is found where gravity is scale invariant.

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