Effective Potential of the Conformal Factor: Gravitational Average Action and Dynamical Triangulations

Details Effective Potential of the Conformal Factor: Gravitational Average Action and Dynamical Triangulations Effective Potential of the Conformal Factor: Gravitational Average Action and Dynamical Triangulations

2008-06-24

arxiv.org/abs/0806.3907v1

Adv.Sci.Lett.2:255-260,2009

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 2 figures

Scientific paper

10.1166/asl.2009.1033

We discuss the effective potential of the conformal factor in the effective average action approach to Quantum Einstein Gravity. Without invoking any truncation or other approximations we show that if the theory has has a non-Gaussian ultraviolet fixed point and is asymptotically safe the potential has a characteristic behavior near the origin. We argue that this characteristic behavior has already been observed in numerical simulations within the Causal Dynamical Triangulation approach.

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