Published August 7, 2014
| Published
Journal Article
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Propagator with positive cosmological constant in the 3D Euclidean quantum gravity toy model
- Creators
- Bunting, William E.
- Rovelli, Carlo
Abstract
We study the propagator on a single tetrahedron in a three-dimensional toy model of quantum gravity with positive cosmological constant. The cosmological constant is included in the model via q-deformation of the spatial symmetry algebra, that is, we use the Turaev–Viro amplitude. The expected repulsive effect of dark energy is recovered in numerical and analytic calculations of the propagator at large scales comparable to the infrared cutoff. However, due to the simplicity of the model, we do not obtain the exact Newton limit of the propagator. This is a first step toward the similar calculation in the full 3+1 dimensional theory with larger numbers of simplicies.
Additional Information
© 2014 IOP Publishing Ltd. The authors would like to thank Simone Speziale and François Collet for helpful discussions. WB is funded by the Caltech Summer Undergraduate Research Fellowship Program.Attached Files
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Additional details
- Eprint ID
- 50163
- Resolver ID
- CaltechAUTHORS:20141002-092959942
- Caltech Summer Undergraduate Research Fellowship (SURF)
- Created
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2014-10-07Created from EPrint's datestamp field
- Updated
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2022-07-12Created from EPrint's last_modified field