Scale-dependent metric and causal structures in Quantum Einstein Gravity
High Energy Physics - Theory
2010-10-27 v1 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.hep-th/0611294,
title = {Scale-dependent metric and causal structures in Quantum Einstein Gravity},
author = {Martin Reuter and Jan-Markus Schwindt},
journal= {arXiv preprint arXiv:hep-th/0611294},
year = {2010}
}
Comments
52 pages