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Propagator with positive cosmological constant in the 3D Euclidean quantum gravity toy model

Bunting, William E. and Rovelli, Carlo (2014) Propagator with positive cosmological constant in the 3D Euclidean quantum gravity toy model. Classical and Quantum Gravity, 31 (15). Art. No. 155011. ISSN 0264-9381. https://resolver.caltech.edu/CaltechAUTHORS:20141002-092959942

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/0264-9381/31/15/155011 DOIArticle
http://iopscience.iop.org/0264-9381/31/15/155011/PublisherArticle
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.
Funders:
Funding AgencyGrant Number
Caltech Summer Undergraduate Research Fellowship (SURF)UNSPECIFIED
Subject Keywords:3D toy model, quantum gravity, cosmological constant
Issue or Number:15
Classification Code:PACS: 98.80.Es; 04.60.-m. MSC: 83C45; 83F05.
Record Number:CaltechAUTHORS:20141002-092959942
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20141002-092959942
Official Citation:Propagator with positive cosmological constant in the 3D Euclidean quantum gravity toy model William E Bunting and Carlo Rovelli 2014 Class. Quantum Grav. 31 155011
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:50163
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Oct 2014 04:16
Last Modified:03 Oct 2019 07:20

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