Scale-dependent metric and causal structures in Quantum Einstein Gravity

Details Scale-dependent metric and causal structures in Quantum Einstein Gravity Scale-dependent metric and causal structures in Quantum Einstein Gravity

2006-11-27

arxiv.org/abs/hep-th/0611294v1

JHEP 0701:049,2007

Physics

High Energy Physics

High Energy Physics - Theory

52 pages

Scientific paper

10.1088/1126-6708/2007/01/049

Within the asymptotic safety scenario for gravity various conceptual issues related to the scale dependence of the metric are analyzed. The running effective field equations implied by the effective average action of Quantum Einstein Gravity (QEG) and the resulting families of resolution dependent metrics are discussed. The status of scale dependent vs. scale independent diffeomorphisms is clarified, and the difference between isometries implemented by scale dependent and independent Killing vectors is explained. A concept of scale dependent causality is proposed and illustrated by various simple examples. The possibility of assigning an "intrinsic length" to objects in a QEG spacetime is also discussed.

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