A Minimal Length from the Cutoff Modes in Asymptotically Safe Quantum Gravity

Details A Minimal Length from the Cutoff Modes in Asymptotically Safe Quantum Gravity A Minimal Length from the Cutoff Modes in Asymptotically Safe Quantum Gravity

2005-11-02

arxiv.org/abs/hep-th/0511021v1

JHEP0601:070,2006

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 1 figure

Scientific paper

10.1088/1126-6708/2006/01/070

Within asymptotically safe Quantum Einstein Gravity (QEG), the quantum 4-sphere is discussed as a specific example of a fractal spacetime manifold. The relation between the infrared cutoff built into the effective average action and the corresponding coarse graining scale is investigated. Analyzing the properties of the pertinent cutoff modes, the possibility that QEG generates a minimal length scale dynamically is explored. While there exists no minimal proper length, the QEG sphere appears to be "fuzzy" in the sense that there is a minimal angular separation below which two points cannot be resolved by the cutoff modes.

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