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http://hdl.handle.net/2289/6433
Title: | The Hartle–Hawking wave function in 2D causal set quantum gravity |
Authors: | Glaser, Lisa Surya, Sumati |
Issue Date: | 17-Mar-2016 |
Publisher: | IOP Publishing Ltd. |
Citation: | Classical and Quantum Gravity, 2016, Vol.33, p065003 |
Abstract: | We define the Hartle–Hawking no-boundary wave function for causal set theory (CST) over the discrete analogs of spacelike hypersurfaces. Using Markov Chain Monte Carlo and numerical integration methods we analyze the wave function in non-perturbative 2D CST. We find that in the low-temperature regime it is dominated by causal sets which have no continuum counterparts but possess physically interesting geometric properties. Not only do they exhibit a rapid spatial expansion with respect to the discrete proper time, but a high degree of spatial homogeneity. The latter is due to the extensive overlap of the causal pasts of the elements in the final discrete hypersurface and corresponds to high graph connectivity. Our results thus suggest new possibilities for the role of quantum gravity in the observable Universe. |
Description: | Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations) |
URI: | http://hdl.handle.net/2289/6433 |
ISSN: | 0264-9381 1361-6382 (E) |
Alternative Location: | http://arxiv.org/abs/1410.8775 http://dx.doi.org/10.1088/0264-9381/33/6/065003 |
Copyright: | 2016 IOP Publishing Ltd. |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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2016_cqg_33_065003.pdf Restricted Access | Restricted Access | 2.33 MB | Adobe PDF | View/Open Request a copy |
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