Scale-dependent metric and causal structures in Quantum Einstein Gravity | Zendy

Martin Reuter | Zendy; Jan-Markus Schwindt | Zendy

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Scale-dependent metric and causal structures in Quantum Einstein Gravity

Author(s) -

Martin Reuter,

Jan-Markus Schwindt

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/01/049

Subject(s) - asymptotic safety in quantum gravity , causality (physics) , metric (unit) , scale (ratio) , quantum gravity , einstein , spacetime , theoretical physics , linearized gravity , physics , quantum , simple (philosophy) , gravitational field , classical mechanics , statistical physics , quantum mechanics , engineering , epistemology , operations management , philosophy

Within the asymptotic safety scenario for gravity various conceptual issuesrelated to the scale dependence of the metric are analyzed. The runningeffective field equations implied by the effective average action of QuantumEinstein Gravity (QEG) and the resulting families of resolution dependentmetrics are discussed. The status of scale dependent vs. scale independentdiffeomorphisms is clarified, and the difference between isometries implementedby scale dependent and independent Killing vectors is explained. A concept ofscale dependent causality is proposed and illustrated by various simpleexamples. The possibility of assigning an "intrinsic length" to objects in aQEG spacetime is also discussed.Comment: 52 page

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