Scale-dependent metric and causal structures in Quantum Einstein Gravity
Nov, 200652 pages
Published in:
- JHEP 01 (2007) 049
e-Print:
- hep-th/0611294 [hep-th]
Report number:
- MZ-TH-06-22
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Abstract:
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.- quantum gravity
- path integral
- effective action
- field equations: solution
- space-time: Robertson-Walker
- vacuum state
- vector: Killing
- scaling
- causality
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