A minimal length from the cutoff modes in asymptotically safe quantum gravity | Zendy

M. Reuter | Zendy; Jan-Markus Schwindt | Zendy

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A minimal length from the cutoff modes in asymptotically safe quantum gravity

Author(s) -

M. Reuter,

Jan-Markus Schwindt

Publication year - 2006

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 - 10.1088/1126-6708/2006/01/070

Subject(s) - cutoff , quantum gravity , quantum , physics , length scale , einstein , scale (ratio) , spacetime , gravitation , spheres , fractal , mathematics , classical mechanics , theoretical physics , quantum mechanics , mathematical analysis , astronomy

Within asymptotically safe Quantum Einstein Gravity (QEG), the quantum4-sphere is discussed as a specific example of a fractal spacetime manifold.The relation between the infrared cutoff built into the effective averageaction and the corresponding coarse graining scale is investigated. Analyzingthe properties of the pertinent cutoff modes, the possibility that QEGgenerates a minimal length scale dynamically is explored. While there exists nominimal proper length, the QEG sphere appears to be "fuzzy" in the sense thatthere is a minimal angular separation below which two points cannot be resolvedby the cutoff modes.Comment: 26 pages, 1 figur

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