The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Fractal spacetime from the area spectrum
Open accessAbstract
In this communication, we calculate the spectral dimension in loop quantum gravity (LQG) using simple arguments coming from the area spectrum at different length scales. We obtain that the spectral dimension of the spatial section runs from 2 to 3, across a 1.5 phase, when the energy of a probe scalar field decreases from high to low energy. We calculate also the spectral dimension of the spacetime using results from spin-foam models and we obtain a two-dimensional effective manifold at high energy. Our result is consistent with two other approaches to non-perturbative quantum gravity: causal dynamical triangulation and asymptotically safety quantum gravity .
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Citations
Cites
Rovelli, C. (2004) · doi:10.1017/cbo9780511755804 · Cited by 2,240
Modern Canonical Quantum General Relativity
Thiemann, T. (2007) · doi:10.1017/cbo9780511755682 · Cited by 2,001
Discreteness of area and volume in quantum gravity
Rovelli, C., & Smolin, L. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00150-q · Cited by 1,365
Loop space representation of quantum general relativity
Rovelli, C., & Smolin, L. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90019-a · Cited by 806
LQG vertex with finite Immirzi parameter
Engle, J., Livine, E., Pereira, R., & Rovelli, C. (2008) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2008.02.018 · Cited by 584
Cited by
Super-renormalizable quantum gravity
Modesto, L. (2012) · Physical Review D · doi:10.1103/physrevd.86.044005 · Cited by 600
Self-citationReuter, M., & Saueressig, F. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/5/055022 · Cited by 375
Fractal Universe and Quantum Gravity
Calcagni, G. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.251301 · Cited by 314
Metadata
- Authors
- Modesto, L.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2009-11-24
- Volume
- 26
- Issue
- 24
- Pages
- 242002
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2053801968
- Cited by
- 184
- References
- 5
- FWCI
- 7.64
- Type
- journal article
- Language
- en
- Open access
- green
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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.
