The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Fractal spacetime structure in asymptotically safe gravity
Open accessAbstract
Four-dimensional Quantum Einstein Gravity (QEG) is likely to be an asymptotically safe theory which is applicable at arbitrarily small distance scales. On sub-planckian distances it predicts that spacetime is a fractal with an effective dimensionality of 2. The original argument leading to this result was based upon the anomalous dimension of Newton's constant. In the present paper we demonstrate that also the spectral dimension equals 2 microscopically, while it is equal to 4 on macroscopic scales. This result is an exact consequence of asymptotic safety and does not rely on any truncation. Contact is made with recent Monte Carlo simulations.
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Citations
Cites
Exact evolution equation for the effective potential
Wetterich, C. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)90726-x · Cited by 2,272
Quantum Theory of Gravity. II. The Manifestly Covariant Theory
DeWitt, B. S. (1967) · Physical Review · doi:10.1103/physrev.162.1195 · Cited by 1,765
Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
Souma, W. (1999) · Progress of Theoretical Physics · doi:10.1143/ptp.102.181 · Cited by 322
Cited by
The Asymptotic Safety Scenario in Quantum Gravity
Niedermaier, M., & Reuter, M. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-5 · Cited by 733
Self-citationSuper-renormalizable quantum gravity
Modesto, L. (2012) · Physical Review D · doi:10.1103/physrevd.86.044005 · Cited by 600
The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
Nonperturbative quantum gravity
Ambjørn, J., Görlich, A., Jurkiewicz, J., & Loll, R. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.03.007 · Cited by 383
Fractal Universe and Quantum Gravity
Calcagni, G. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.251301 · Cited by 314
Metadata
- Authors
- Lauscher, O., & Reuter, M.
- Venue
- Journal of High Energy Physics
- Published
- 2005-10-18
- Volume
- 2005
- Issue
- 10
- Pages
- 050-050
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2062400016
- Cited by
- 281
- References
- 3
- FWCI
- 4.96
- Type
- journal article
- Language
- en
- Open access
- bronze
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
